Can someone Please help me with this question?

In the first question, the statement "Using logarithmic differentiation we obtain that the derivative of the function y = x² satisfies the equation y = 4x log x + 2x" is true.

In the first question, using logarithmic differentiation on the function y = x², we differentiate both sides, apply the product rule and logarithmic differentiation, and simplify to obtain the equation y = 4x log x + 2x, which is correct.

In the second question, the statement is false. When using logarithmic differentiation on the function y = (1+x²)²(1 + sin x)²/(1-x²), the derivative is calculated correctly, but the equation given is incorrect. The correct equation after logarithmic differentiation should be y' = (4x/(1 + x²)(1 + sin x))(1-x²) - (2x(1+x²)²(1 + sin x)²)/(1-x²)².

In the third question, the product z²w is calculated correctly as 30-10%.

It is important to accurately apply logarithmic differentiation and perform the necessary calculations to determine the derivatives and products correctly.

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Answer:

4/5

Step-by-step explanation:

3 x 5 get you 20 and 20 x 45 gets you 80 covert it into a fraction 4/5

The nurse should instruct the client to clean and dry the diaphragm thoroughly before and after use, avoid leaving the diaphragm in place for longer than recommended, and to seek medical attention immediately if symptoms of TSS develop such as fever, vomiting, and a rash.

Additionally, the nurse should advise the client to avoid using the diaphragm during menstruation as this may increase the risk of TSS. It is important to note that while TSS is rare, it is a potentially life-threatening condition and clients should be educated on how to minimize their risk.
The nurse should inform the female client using a contraceptive diaphragm about the following points to reduce the risk of Toxic Shock Syndrome (TSS):
1. Avoid wearing the diaphragm for prolonged periods - do not exceed 24 hours of continuous use.
2. Properly clean and store the diaphragm when not in use to prevent bacterial growth.
3. Change the contraceptive gel or spermicide with each use and after 6 hours if needed.
4. Monitor for symptoms of TSS, such as fever, rash, vomiting, or diarrhea, and contact a healthcare provider if these occur.
5. Practice good personal hygiene and maintain a healthy lifestyle to boost the immune system.
Remember, it's essential to follow these guidelines to minimize the risk of TSS while using a contraceptive diaphragm.

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The equation with a solution of -7 is x^2 = 49

From the question, we have the following parameters that can be used in our computation:

The list of options and x = -7

To check which equation has a solution of x = -7, we can simply substitute -7 for x in each equation and see which one is true.

Hence, the equation x^2 = 49 has x = -7 as a solution.

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Many people use relative location on a daily basis by using their mental maps of an area.

Relative location refers to the position of a place or object in relation to other landmarks or known locations. It involves understanding spatial relationships and navigating based on familiar references. Among the given choices, the best answer is "B. their mental maps of an area."

People often rely on their mental maps of an area to determine relative location. Mental maps are cognitive representations of familiar places, formed through personal experiences and observations. These mental maps help individuals navigate and understand the spatial relationships between different locations. By using their mental maps, people can estimate distances, find directions, and navigate based on familiar landmarks or known routes.

While the other options (coordinates on a GPS-enabled device, a location's exact address, and the Internet) can provide precise or specific location information, they do not capture the concept of relative location as directly as mental maps. Relative location is more about the spatial relationships between places and the ability to navigate based on one's understanding of the area, which is best represented by mental maps.

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Answer:

Step-by-step explanation:

Attached is the sample space for rolling two dice

Logan's monthly bank statement showed the following deposits

and withdrawals:

$31.34, $117.42, -$52.48, -$102.33, $64.90

If Logan's balance in the account was $82.63 at the

beginning of the month, what was the account balance at

the end of the month

Answer:

141.48

Step-by-step explanation:

Find the total net change:

Find the total net change:

31.34

+

117.42

+

(

−

52.48

)

+

(

−

102.33

)

+

64.9

31.34+117.42+(−52.48)+(−102.33)+64.9

=

58.85

=58.85

Add total net change to the initial value:

Add total net change to the initial value:

82.63

+

58.85

=

82.63+58.85=

141.48

141.48

The account balance was $141.48 at the end of the month.

The account balance was $141.48 at the end of the month.

The position value, r(t) is equals to the (t³/6)k + 2j and velocity value, v(t) is equals to ( t²/2 )k + 4i , for a(t) = tk, v(0) = 4i, r(0) = 2j.

Acceleration is defined as the rate of change of the velocity of an object with respect to time. Accelerations are vector quanty.

a = dv/dt

We have the following informations are available,

Initial velocity, v(0) = 4i

Initial position, r(0) = 2j

Acceleration at any time "t",

a(t) = tk

we have to determine the value of v(t) and r(t).

As we know, a(t) = dv(t)/dt = tk

integrating the above equation ,

v(t) = ∫tk dt = ( t²/2 )k + c

at t = 0 , v(0) = 0 + c = 4i ( since, v(0) = 4i

=> c = 4i

So, v(t) = ( t²/2 )k + 4i

Also, velocity is calculated by derivative of postion (r) with respect to time.

=> v(t) = dr(t) /dt

=> r(t) = ∫ v(t) dt

=> r(t) = ∫ ( t²/2 )k dt

integrating value of the right hand side,

r(t) = ( t³/2×3 )k +d

= (t³/6)k + d

At t = 0, r(0) = (0/6)k + d

=> r(0) = d = 2j

so, r(t) = (t³/6)k + 2j

Hence, the required position and velocity are

(t³/6)k + 2j and ( t²/2 )k + 4i.

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Answer:

do this ok this is step by step answer

Answer:

the last bullet point I guess is the answer

Answer:

the term is minus 1/4 so it would be 3, 2 3/4, 2 2/4.

Answer:

3840

Step-by-step explanation:

thbyrtjnbyj

The matrix M is: M = [2/9 -8/27 , 4/9 -8/27 ]

Let's say that M is a 2 x 2 matrix that satisfies M × [3 -2 , 6 -8 ] = [-2 16]. This means that the product of matrix M and matrix [3 -2 , 6 -8 ] will give us the result matrix [-2 16].  We know that the product of two matrices is equal to the sum of the products of their corresponding elements.  We can use this knowledge to solve for the unknown elements in matrix M. Let us assume that M = [a b , c d] so that we can solve for its elements.

a(3) + b(6) = -2 ... (1) c(3) + d(6) = 16 ... (2) a(-2) + b(-8) = -2 ... (3) c(-2) + d(-8) = 16 ...

(4)Simplifying equations (1) to (4),  we get:

3a + 6b = -2 ... (5) 3c + 6d = 16 ... (6) -2a - 8b = -2 ... (7) -2c - 8d = 16 ... (8)

Solving for a, b, c, and d, we get:a = 2/9 b = -8/27 c = 4/9 d = -8/27.

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When an increase in one variable is associated with an increase in a second variable, the two variables are known as positively correlated. The correlation coefficient is the measure of the degree of the relationship between two variables.

The correlation coefficient ranges from -1 to 1. A positive correlation coefficient indicates a positive relationship between two variables, while a negative correlation coefficient indicates an inverse relationship between two variables.

A positive correlation coefficient signifies that as one variable increases, the other variable also increases. For instance, the correlation between a person's height and weight is positive because as their height increases, so does their weight.

In the same way, as a person's income increases, so does their level of expenditure. Positive correlations can be either strong or weak.A strong correlation is indicated by a correlation coefficient close to 1, while a weak correlation is indicated by a correlation coefficient closer to zero.

For example, the correlation between a person's weight and the number of hours they exercise per week is strong. When a person's exercise time increases, so does their weight loss. In conclusion, when an increase in one variable is associated with an increase in a second variable, the two variables are positively correlated.

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Answer:

Step-by-step explanation:

length times width = area

so you have 8.5w=93.5

divide 8.5 on both sides to get your answer

w= 11

so your width must be 11 inches

Answer:

51

Step-by-step explanation:

Order of Operations: BPEMDAS

Step 1: Write out equation

2p² + 3s

Step 2: Define variables

p = 3

s = 11

Step 3: Replace variables

2(3)² + 3(11)

Step 4: Evaluate

2(9) + 33

18 + 33

51

Answer:

Step-by-step explanation:

i think the solution is (-2,0) because that is where they touch at the x axis

Questions about dropping or adding a class, as well as inquiries about the classes required for specific majors, are best answered by academic advisors or counselors.

These professionals have the expertise and knowledge regarding the specific requirements and policies of academic programs. They can provide accurate and up-to-date information about class registration, course sequencing, major requirements, and any relevant academic policies or procedures. Academic advisors can guide students in making informed decisions about their course schedules, ensuring that they meet the necessary requirements for their chosen majors or academic goals.

It is recommended to reach out to the academic advising department at your institution to get personalized guidance and support regarding class registration and major requirements.

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Answer:

divide by -2/3 you will get -51

i believe :)

Step-by-step explanation:

The curve represented by this polar equation is a vertical line with angle  = /6 passing through the point (r, /6). To sketch this curve, simply draw a vertical line at an angle of /6 on the polar plane.

In conclusion, the curve with the given polar equation  = /6 is a vertical line passing through the point (r, /6).
To sketch the curve with the given polar equation  = -/6, follow these steps:
To sketch the curve with the given polar equation  = /6, we first need to understand what this equation represents. In polar coordinates, a point is represented by its distance from the origin (r) and the angle it makes with the positive x-axis ().
1. Understand the polar equation: The equation  = -/6 tells us that the angle  is constant and equal to -/6 radians, or -30 degrees.

2. Convert to degrees (optional): By converting -/6 radians to degrees, we get -30 degrees.
In this equation,  is constant at /6, which means that all points on the curve have the same angle of /6. This creates a vertical line passing through the point (r, /6) on the polar plane.

3. Sketch the curve: Since  is constant at -30 degrees, the curve is a straight line (or ray) that extends from the origin (the pole) and makes an angle of -30 degrees with the positive x-axis.

4. Label the curve: label the curve with the given polar equation θ = -π/6.

In summary, the curve described by the polar equation  = -/6 is a straight line (or ray) extending from the origin and making an angle of -30 degrees with the positive x-axis.

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Answer:

opens down

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

Here (h, k) - (- 10, - 1 ) , then

y = a(x + 10)² - 1

To find a substitute (- 8, - 5) into the equation

- 5 = a(- 8 + 10)² - 1 ( add 1 to both sides )

- 4 = a(2)² = 4a ( divide both sides by 4 )

- 1 = a

y = - (x - 10)² - 1 ← equation in vertex form

To determine if it opens up/ down consider the value of a

• If a > 0 then curve opens up

• If a < 0 then curve opens down

Here a = - 1 < 0 then curve opens down

Answer:

5 is the answer

Step-by-step explanation:

⅚÷⅙

5/6*6/1

5

Answer:

A

Step-by-step explanation:

Step-by-step explanation:

Let √2 + √3 be a / b.

a and b are co - primes.

a and b have 1 as a common factor.

√2 + √3 = a / b

( √2 + √3 )^2 = ( a / b )^2

(√2)^2 + (√3)^2 + 2.√2.√3 = a^2 / b^2

2 + 3 + 2.√2.√3 = a^2 / b^2

5 + 2.√2.√3 = a^2 / b^2

2.√2.√3 = ( a^2 / b^2 ) - 5

2.√2.√3 = ( a^2 - 5b^2 ) / b^2

√2.√3 = ( a^2 - 5b^2 ) / 2b^2

a and b are not co - primes, as they more than 1 as a common factor.

So,

√2 + √3 is irrational.

Hence, proved.

Answer:

The independent variable is the variable that is manipulated or changed during an experiment. In this case, the independent variable is represented by the x-values of the given points.

So, the answer would be option A: {-2, 3, 1, 5}

Step-by-step explanation:

brainliest Plsssss

Answer:

Please refer to the attached image for the graph of given function.

Step-by-step explanation:

Given the equation:

\(-x^{2} +4x+12\)

Let us rewrite by letting it equal to \(y\).

\(y=-x^{2} +4x+12\)

Now, we can see that it is a quadratic equation and it is known that a quadratic equation has a graph of parabola.

Let us compare the given equation with standard quadratic equation:

\(y=ax^{2} +bx+c\)

we get:

\(a = -1\\b = 4\\c = 12\)

Coefficient of \(x^{2}\) is negative 1, so the parabola will open downwards.

Axis of symmetry: It is the line which will divide the parabola in two equal congruent halves.

Formula for axis of symmetry is:

\(x = -\dfrac{b}{2a}\)

\(x = -\dfrac{4}{2(-1)}\\\Rightarrow x=2\)

It is shown as dotted line in the image attached in the answer area.

Axis of symmetry will also contain the vertex of the parabola.

It is a downward parabola so vertex will be the highest point on this parabola.

Putting x = 2 in the equation of parabola:

\(y=-2^{2} +4\times 2+12\\\Rightarrow y =16\)

So, vertex will be at P(2, 16).

Now, let us find points of parabola to sketch graph:

put x = 0, \(y=-0^{2} +4\times 0+12=12\)

Another point is Y(0,12)

Now, let us put y = 0, it will give us two points because the equation is quadratic in x.

\(0=-x^{2} +4x+12\\\Rightarrow -x^{2} +6x-2x+12=0\\\Rightarrow -x(x -6)-2(x-6)=0\\\Rightarrow (-x-2)(x-6)=0\\\Rightarrow x = -2, 6\)

So, other two points are X1(-2, 0) and X2(6,0).

If we plot the points P, Y, X1 and X2 we get a graph as attached in the image in answer area.