Consider the Z transform below. Determine all possible sequences that lead to this transform, depending on the convergence domain. Determine which of them (if any) has a Discrete Time Fourier Transform, and, if there is one, write down its expression. A. X(z) = z^-99/(z + a)^3(z+b)(z+c)
a=19 ; b= -2 ; c=4
Answers
The given Z-transform is X(z) = z^(-99)/(z + a)^3(z + b)(z + c), where a = 19, b = -2, and c = 4. The possible sequences leading to this transform depend on the convergence domain. Among these sequences, there is one that has a Discrete Time Fourier Transform.
To determine the possible sequences that lead to the given Z-transform, we need to consider the convergence domain of the Z-transform expression. The convergence domain is determined by the poles and zeros of the expression. In this case, the poles are located at z = -a, -a, -a, -b, and -c, while there are no zeros. Depending on the values of a, b, and c, the convergence domain will vary.
In this specific scenario, a = 19, b = -2, and c = 4. The Z-transform expression has three repeated poles at z = -19 and single poles at z = -2 and z = -4. To ensure convergence, the magnitude of the poles must be greater than 1. Since |a| = 19 > 1, the repeated poles at z = -19 are outside the unit circle and contribute to the convergence. Similarly, |b| = 2 and |c| = 4 are also greater than 1, indicating that the poles at z = -2 and z = -4 are also outside the unit circle.
As a result, the sequences that could lead to the specified Z-transform are those in which the poles at z = -19, z = -19, z = -19, z = -2, and z = -4 are located outside the unit circle. There is a sequence with a Discrete Time Fourier Transform among these ones. The Z-transform expression can be changed to the Discrete Time Fourier Transform expression by replacing z = e(j) and then simplifying the resulting expression.
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Related Questions
Enter the correct answer in the box. The graph shows function j, a transformation of f(x)= x^1/2
Answers
The required equation function j which is the transformation of \(f(x)= x^{1/2}\) is \(j(x)= (x+2)^{1/2}\) .
As we can see in the graph the functions j and f are similar but the graph of j is 2 units left of f. So, function f(x) has a domain of real number greater than equal to zero, while as the function j is 2 units left of f then its equation is given as \(j(x)= (x+2)^{1/2}\) where the domain of j is all real numbers greater then or equal to -2.
Thus, the equation of function j is the transformation of \(f(x)= x^{1/2}\) is \(j(x)= (x+2)^{1/2}\) .
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In the question the graph is missing, a graph has been added on behalf of the incomplete question.
in a certain country license plates consist of zero or one digit followed by four or five uppercase letters from the roman alphabet. how many different license plates can the country produce?
Answers
118,813,760 different combination license plates can the country produce
Permutations and combinations:
permutations and combinations, the various ways in which objects from a set may be selected, generally without replacement, to form subsets. This selection of subsets is called a permutation when the order of selection is a factor, a combination when order is not a factor. By considering the ratio of the number of desired subsets to the number of all possible subsets for many games of chance in the 17th century, the French mathematicians Blaise Pascal and Pierre de Fermat gave impetus to the development of combinatorics and probability theory.
Given that
In a certain country license plates consist of zero or one digit followed by four or five uppercase letters from the roman alphabet
X = 10 × 26 × 26 × 26 × 26 × 26
= 10 × 11881376
= 118,813,760
118,813,760 different combinations license plates can the country produce
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Conan borrows $3,000 at a yearly simple interest rate of 1.6% for 2 years find out how much he owes and interest and how much he needs to pay back
Answers
Answer:
P=3000$
T=2 years
R=1.6% per annum
Now,
interest=(3000×2×1.6)/100=96$
Amount=P+interest=3096$
Hence,Conan needs to pay back 3096$ and the interest is 96$
Write inequalities to describe the sets.1. The slab bounded by the planes z=0 and z=1 (planes included) 2. The upper hemisphere of the sphere of radius 1 centered at the origin 3. The (a) interior and (b) exterior of the sphere of radius I centered at the point (1,1,1)
Answers
1. The inequality that describes the set is: 0 ≤ z ≤ 1,
2. Inequality: z ≥ 0, x² + y² + z² = 1,
3. The inequality that describes the exterior of the sphere is:(x - 1)² + (y - 1)² + (z - 1)² > I².
1. The slab bounded by the planes z=0 and z=1 (planes included)
In order to describe the slab bounded by the planes z=0 and z=1, we consider that the inequality that describes the set is:
0 ≤ z ≤ 1, where the inequality tells us that z is greater than or equal to 0 and less than or equal to 1.
2. The upper hemisphere of the sphere of radius 1 centered at the origin
The equation of the sphere of radius 1 centered at the origin is:
x² + y² + z² = 1
In order to obtain the upper hemisphere, we just have to restrict the value of z such that it is positive.
Then, we get the following inequality:
z ≥ 0, x² + y² + z² = 1,
where z is greater than or equal to 0 and the equation restricts the points of the sphere to those whose z-coordinate is non-negative.
3. The (a) interior and (b) exterior of the sphere of radius I centered at the point (1,1,1)
The equation of the sphere of radius I centered at the point (1, 1, 1) is:
(x - 1)² + (y - 1)² + (z - 1)² = I²
(a) The interior of the sphere:
For a point to lie inside the sphere of radius I centered at the point (1,1,1), we need to have the distance from the point to the center be less than I.
Therefore, the inequality that describes the interior of the sphere is:
(x - 1)² + (y - 1)² + (z - 1)² < I²
(b) The exterior of the sphere:For a point to lie outside the sphere of radius I centered at the point (1,1,1), we need to have the distance from the point to the center be greater than I.
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jack strong has $50,000 of wealth. he is participating in a jujitsu competition. the prize is $10,000. he is guaranteed to win it (he has black belt) unless he breaks his arm. if his arm is broken, he will lose the tournament and he will have to pay $5,000 in medical expenses. jack thinks that the probability of him breaking his arm during a tournament is 5 percent. he can get a medical insurance at a price of $.3 dollars for each $1 of coverage.
Answers
He’ll get the prize of dollar 10000, then the consumption after adding dollar 1500 is: $10000 + $1500 = $11500
a) the derive equation is 50000 + 10000 + x
jack has maximum amount of wealth = $50,000
When he participated in a jujitsu competition then the prize amount = 10,000
Then we will take a variable x for derive the equation which will depend on that he will win and loose :
Here,
the equation is = 50000 + 10000 + x
b) His consumption after not purchasing medical insurance is $15000.
if, he does not purchase medical insurance then he has no coverage of insurance and
He’ll lose the tournament and he’ll have to pay medical expenses dollar 5000 and also the prize amount $10000
So, his consumption after not purchasing medical insurance is:
$10000 + $5000 = $15000
c) when he will purchase medical insurance then his total consumption is $3500
his consumption if he purchase medical insurance, he will give dollar1 for medical insurance and will get in return dollar .3 ,
When he will have to pay for medical insurance $5000, then he’ll get the coverage on medical insurance:
0.3 * 5000 = $1500
Now, subtracting the amount of medical insurance which he’ll have to pay:
$5000 - $1500 = $3500
He’ll get the prize of dollar 10000, then the consumption after adding dollar 1500 is:
$10000 + $1500 = $11500
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#
f(x) = x
f(x) = 3
5
6
f(x)=3-x
f(x) = 1
Domain
3
0
x=2
2
f(x) = 2
Function Equation
f(x) = 5-x
Answers
f(x) = x is a simple linear function with a slope of 1, f(x) = 3 5 6 is a constant function, f(x) = 3-x is a linear function with a negative slope of -1, f(x) = 1 is a constant function, f(x) = 2 is a constant function
What is a constant function?A constant function is a mathematical function whose output value is the same for every input value
From the given parameters, f(x) = x is a simple linear function with a slope of 1, this implies that for every unit increase in x, the value of y increases by 1.
Also, f(x) = 3 5 6 is a constant function, where the value of y is always 3 5 6, regardless of the value of x.
In the same way, f(x) = 3-x is a linear function with a negative slope of -1, which means that for every unit increase in x, the value of y decreases by 1. The fourth function f(x) = 1 is a constant function, where the value of y is always 1, regardless of the value of x.
The domain of the fifth function is 3 0, which means that x can take any value between 3 and 0.
The sixth function f(x) = 2 is a constant function, where the value of y is always 2, regardless of the value of x.
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At a coffee shop, the amount of tax due is calculated based on the cost of the customer's
order.
t = the amount of tax due
c = the cost of the order
Which of the variables is independent and which is dependent?
Answers
In this context, the dependent variable is t (amount of tax due) and the independent variable is c (cost of the order).In this scenario, the variables are t (the amount of tax due) and c (the cost of the order).
To determine which variable is independent and which is dependent, we need to understand their relationship.In this case, the amount of tax due, t, is calculated based on the cost of the customer's order, c. The tax amount is dependent on the cost of the order because it is directly influenced by the value of c. As the cost of the order changes, the amount of tax due will also change accordingly.
On the other hand, the cost of the order, c, is independent. It is not influenced or determined by the amount of tax due. The customer can choose the cost of their order, and the tax will be calculated based on that chosen amount.
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pleaseeeeeeeeeee help me
Answers
Answer:
20
Step-by-step explanation:
Can someone help me with B please??
Answers
is the answer 35 /12?
Step-by-step explanation:
first you have to turn the improper fraction into a fraction then do the calculation as normal.
Having problems with this
Answers
Answer:
45
Step-by-step explanation:
Since angles 4 and 2 are the same, we will have to do x+30 is = to 2x+15. After that x= 15. Substitute x in x+30. Which results in 45
Answer:
45°
Step-by-step explanation:
Corresponding angles are equal. ∠4 and ∠2 are equal.
\(x+30=2x+15\)
Add -x and -15 on both sides of the equation.
\(30-15=2x-x\)
\(15=1x\)
∠4 = x+30
Put x as 15 in the equation.
\((15)+30\)
\(=45\)
What are the factors of 25?
Answers
Answer:
1, 5, 25
Step-by-step explanation:
1x25=25
5x5=25
PLEASE ANSWER! 5 STAR RATING - THANKS (PROFILE TOO) - BRAINLIEST IF I CAN
Each year, a school sends 50 students to a
conference.
Last year, the cost was $12.50 per student.
This year, the cost per student has increased
by 16%.
What is the total cost to send 50 students to
the conference this year?
a $625
b $633
c $725
d $841
Answers
Answer:
c) $725
Explanation:
Last year price: $12.50
If increased by 16%, 100% + 16% = 116%
116% * $12.50
$14.5, each student
Total cost for all 50 students
$14.5 * 50
$725
Find the square of the following expressions by using formula=(m-1÷2m)
Answers
The square of the expression (3x+5) is 9x² + 30x + 25, which we have found by using the formula (m-1÷2m). Similarly, we can find the square of other expressions by using this formula.
To find the square of expressions using the formula (m-1÷2m), we need to first understand what this formula means. The formula (m-1÷2m) is used to find the value of the square of an expression that is in the form of (a+b)². In this formula, 'm' represents the coefficient of 'a' and 'b' in the given expression.
Let's take an example of the expression (3x+5)². Here, the coefficient of 'a' and 'b' are 3 and 5, respectively. So, we can substitute these values in the formula (m-1÷2m) as:
m = 3 + 5 = 8
So, (m-1÷2m) = (8-1÷2x8) = (8-1÷16) = 127÷16
Now, we can use this value to find the square of the given expression as:
(3x+5)² = [(3x)² + 2(3x)(5) + (5)²] = 9x² + 30x + 25
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the number of pounds of dog food that a pet store has is represented by the equation
How many pounds of dog food will the pet store have after 21 days?
Answers
Answer:
what is the equation?
Step-by-step explanation:
in a test of the hypotheses, , the calculated p-value is 0.03. what is the decision at the 2% level of significance?
Answers
The term "content loaded in a test of the hypotheses" refers to the data and information used to perform the hypothesis test, which in this case resulted in a calculated p-value of 0.03.
Based on the information provided, the calculated p-value of 0.03 is less than the level of significance of 2%. This means that the null hypothesis can be rejected and the alternative hypothesis can be accepted.
Therefore, the decision is to reject the null hypothesis and conclude that there is sufficient evidence to support the alternative hypothesis.
The term "content loaded in a test of the hypotheses" refers to the data and information used to perform the hypothesis test, which in this case resulted in a calculated p-value of 0.03.
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Solve for x. Round to the nearest tenth of a degree, if necessary
Answers
Step-by-step explanation:
here's the answer to your question
TRUE / FALSE. when the block is in equilibrium, each spring is stretched an additional ∆x. then the block is set into oscillation with amplitude a; when it passes through its equilibrium point it has a speed v.
Answers
The statement is true.
When the block is in equilibrium, each spring is stretched an additional ∆x. This implies that the forces from the two springs are balanced, and the block is not experiencing any net force in the equilibrium position.
When the block is set into oscillation with amplitude a, it will pass through its equilibrium point during the oscillation. At the equilibrium point, the displacement of the block is zero, and it changes direction. At this point, the block has its maximum speed v, as it is accelerating towards the equilibrium position.
The speed of the block decreases as it moves away from the equilibrium position, reaches zero at the maximum displacement (amplitude), and then starts accelerating towards the equilibrium point again. Therefore, when the block passes through its equilibrium point, it has its maximum speed v.
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The statement "P implies Q' is FALSE under which of the following conditions? Choose all that apply. a. P and Q are both true. b. P and Q are both false. c. P is true and Q is false. d. P is false and Q is true.
Answers
The statement "P implies Q" is false under the following conditions: a) P is true and Q is false, and d) P is false and Q is true.
The statement "P implies Q" can be expressed as "if P, then Q." It is a conditional statement where P is the antecedent (the condition) and Q is the consequent (the result).
To determine when the statement is false, we need to identify cases where P is true but Q is false, or when P is false but Q is true.
Option a) states that both P and Q are true. In this case, the statement "P implies Q" holds true because if P is true, then Q is true.
Option b) states that both P and Q are false. In this case, the statement "P implies Q" is considered true because the antecedent (P) is false.
Option c) states that P is true and Q is false. Under this condition, the statement "P implies Q" is false because when P is true, but Q is false, the implication does not hold.
Option d) states that P is false and Q is true. In this case, the statement "P implies Q" is true because the antecedent (P) is false.
Therefore, the conditions under which the statement "P implies Q" is false are a) P is true and Q is false, and d) P is false and Q is true.
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Two polynomials P and D are given. Use either synthetic or long division to divide P(x) by D(x), and express P in the form P(x) = D(x) Q(x) + R(x).
P(x) = 3x³-4x²-3x, D(x) = 3x - 4
P(x) =
Answers
The value of Q(x) = x² - 1
R(x) = 4
What is Long Division?
Long division is a common division procedure in mathematics that may be easily performed manually and is appropriate for dividing multi-digit Hindu-Arabic numbers. It simplifies a division problem into several shorter stages.
By long Division method:
x² - 1
_______________________________
(3x - 4) | 3x³ - 4x² - 3x
3x³ - 4x²
_________________
0 - 0 - 3x
- 3x + 4
___________________
0 + 4
Q(x) = x² - 1
R(x) = 4
Hence, (3x³-4x²-3x) = (3x - 4)(x² - 1 ) + 4
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PLEASE PLEASE HELP!!
Find the lengths of the segments with variable expressions.
EF=
Answers
The length of the segment with variable x is 11.
How to find the mid segment of a trapezium?From the trapezium,
AE ≅ EB
DF ≅ FC
Therefore,
EF = x = 1 / 2 × (AD + BC)
AD = x - 5
BC = 2x - 6
Hence,
x = 1 / 2 (x - 5 + 2x - 6)
x = 1 / 2 (x + 2x - 5 - 6)
x = 1 / 2(3x - 11)
x = 3 / 2 x - 11 / 2
x - 3 / 2 x = - 11 / 2
- 0.5x = -5.5
divide both sides by -0.5
x = -5.5 / - 0.5
x = 11
Therefore, the length of the segment with variable x is 11.
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Please help!! 30 POINTS! And BRAINLIEST GEOMETRY A
Answers
Answer:
1. a linear line, I think??
2. It is similar because it splits both in two. It is different because the perpendicular is intersecting lines while the angle is just an angle
Step-by-step explanation:
Use the Distributive Property to
simplify the following:
7(y + 3) =
Answers
Answer:
7y+21
Step-by-step explanation: i solve it hope this help.
Answer:
\(\bold{7y+21}\)
Step-by-step explanation:
Hi there!
Let's solve this math problem by using the Distributive Property.
All we have to do is "distribute" 7 (multiply it by all the terms inside the parentheses):
\(\bold{7(y+3)}\)\(\bold{7y+21}\)Hope it helps! Enjoy your day!
~ Just a teenage girl willing to help
\(\bold{Besties4Ever:-):-)}\)
PLEASE ANSWER ALL 3.
Answers
What is the completely factored form of this polynomial? 7x4 14x3 − 168x2
Answers
The completely factored form of the polynomial is 7x² (x + 6) (x - 4)
Given,
The polynomial ; 7x⁴ + 14x³ - 168x²
We have to find the complete factored form of this polynomial;
Polynomial;
An expression that consists of variables, constants, and exponents that is combined using mathematical operations like addition, subtraction, multiplication, and division is referred to as a polynomial (No division operation by a variable).
Here,
The polynomial is 7x⁴ + 14x³ - 168x²
Now,
Factorize the polynomial using common factors;
That is,
7x⁴ + 14x³ - 168x²
7x² (x² + 2x - 24)
Solve x² + 2x - 24 using quadratic formula;
That is,
\(\frac{-b(+-)\sqrt{b^{2}-4ac } }{2a}\) = \(\frac{-2(+-)\sqrt{2^{2} -4*1*-24} }{2*1}\) = \(\frac{-2(+-)\sqrt{4-96} }{2}\) = -2±√-92 / 2
Now,
Solve
-2 + √-92 / 2 = 3.79 ≈ 4
Solve
-2 - √-92 / 2 = -5.79 ≈ -6
Then,
The factors will be (x - 4) and (x + 6)
So,
7x² (x + 6) (x - 4) will be the factored form of the polynomial.
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Which relation is a function?
A. (1, 0), (3.0), (1.1), (3, 1) (1.3)
B. (1, 1), (2, 2), (3, 3), (4, 4). (5, 8). C. ( 2, 7), (6,5), (4.4), (3, 3), (2, 1)
D. (9. -3), (19, 3) (4, -2), (4, 2), (0, 0)
Answers
Answer:
A
Step-by-step explanation:
A function is a relationship between inputs where each input is related to exactly one output.
A function can be one-to-one and many-to-one but can not be one-to-many.
The relation that is a function is
(1, 1), (2, 2), (3, 3), (4, 4). (5, 8). C. ( 2, 7),
Option B is the correct answer.
What is a function?A function is a relationship between inputs where each input is related to exactly one output.
Example:
f(x) = 2x + 1
f(1) = 2 + 1 = 3
f(2) = 2 x 2 + 1 = 4 + 1 = 5
The outputs of the functions are 3 and 5
The inputs of the function are 1 and 2.
We have,
A function can be one-to-one and many-to-one but can not be one-to-many.
A. (1, 0), (3.0), (1.1), (3, 1) (1.3)
This is not a function because we have one-to-many.
(1, 0) and (1, 1) are one-to-many.
B. (1, 1), (2, 2), (3, 3), (4, 4). (5, 8).
This is a function because it satisfies the function.
The given relation are one-to-one.
C. ( 2, 7), (6,5), (4.4), (3, 3), (2, 1)
This is not a function because we have one-to-many.
(2, 7) and (2, 1) are one-to-many relations.
D. (9. -3), (19, 3) (4, -2), (4, 2), (0, 0)
This is not a function because we have one-to-many relations.
(4, -2) and (4, 2) are one-to-many relations.
Thus,
The relation that is a function is
(1, 1), (2, 2), (3, 3), (4, 4). (5, 8). C. ( 2, 7),
Option B is the correct answer.
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Points X and Y are in plane Z. Any point collinear with X and Y is also in plane Z
pls need answer huhu =(
Answers
Answer:
yes above statement is true
Step-by-step explanation:
mark me as brainliest ❤️
\( \large \mathfrak{Answer : }\)
Yes, it's true that Any point that is collinear to points X and Y also lies in the same Z plane among X and Y.
In the regression model Yi = β0 + β1Xi + β2Di + β3(Xi × Di) + ui, where X is a continuous variable and D is a binary variable, to test that the two regressions are identical, you must use the:
A) t-statistic separately for β2 = 0, β2 = 0.
B) F-statistic for the joint hypothesis that β0 = 0, β1 = 0.
C) t-statistic separately for β3 = 0.
D) F-statistic for the joint hypothesis that β2 = 0, β3= 0.
Answers
To test that the two regressions are identical, we need to test the null hypothesis that the coefficients β2 and β3 are equal to zero.
The correct answer is D) F-statistic for the joint hypothesis that β2 = 0, β3= 0.
We can do this by using the F-statistic for the joint hypothesis that β2 = 0 and β3 = 0.
The F-statistic is calculated as follows:
F = [(RSSR - RSSUR) / 2] / [RSSUR / (n - 4)],
where RSSR is the residual sum of squares from the restricted model (with both β2 and β3 set to zero), RSSUR is the residual sum of squares from the unrestricted model (with all coefficients estimated), and n is the sample size.
If the F-statistic is larger than the critical value from the F-distribution with 2 degrees of freedom in the numerator and n-4 degrees of freedom in the denominator at the desired level of significance, we reject the null hypothesis and conclude that the two regressions are not identical.
Option A) is incorrect because testing β2 and β3 separately does not provide a joint test of whether the two regressions are identical.
Option B) is incorrect because it tests a different hypothesis about the intercept and slope coefficients.
Option C) is incorrect because it only tests whether the interaction effect is significant, but it does not test whether the two regressions are identical.
D) F-statistic for the joint hypothesis that β2 = 0, β3= 0.
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2/5% as a fraction
Pld
Answers
Hey there!
2/5%
= 2/5
= 2 ÷ 5
= 0.40
= 0.40 × 100
= 40%
Therefore, your answer is: 40%
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
Write an equation that represents the perimeter of triangle.
Combine like terms.
Answers
The equation which correctly represents th perimeter of the triangle is; P = 6x + 15.
The value of x when the perimeter is 90 is; 12.5.
What is the perimeter of the triangle?The perimeter of the triangle in discuss is the sum of all three side lengths of the triangle.
Hence, the perimeter, P is;
P = 3x + 3x + 15
P = 6x + 15.
Also, when the perimeter is 90;
90 = 6x + 15
6x = 75
x = 12.5
The value of x is; 12.5.
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let r(x) = f(g(x)) and s(x) = g(f(x)), where f and g are shown in the figure. find r'(1) and s'(4).
Answers
The value of r'(1) and s'(4) is 0 that can be interpreted with the help of the graph that is given in the question.
Derivative in mathematics, the rate of change of a characteristic with recognize to a variable. Derivatives are essential to the answer of troubles in calculus and differential equations. The essence of calculus is the by-product. The by-product is the immediately price of extrade of a characteristic with recognize to certainly considered one among its variables. This is equal to locating the slope of the tangent line to the characteristic at a point
\(r(x) = f(g(x))\)therefore the derivative of r is given by \(r'(x) = f'g(x)\times g'(x)\)
\(r'(1) = f'(g(1))\times g'(1)\) from the graphs
r'(1) = f'4 \times g'1 = (5/4) \times(0) = 0
Similarly s'(1) = g'(f(1))\times f'(1) from the graphs
f(1)=1.5, f'(1)
=\dfrac{ (3-0)}{(0-2)}
= -3/2 , g'(3/2) = 0
s'(4) = g'(3/2) \times f'(4) = 0(-1.5) = 0
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#SPJ4
Complete question:
let r(x) = f(g(x)) and s(x) = g(f(x)), where f and g are shown in the figure. find r'(1) and s'(4).
