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32π

Approximate the area of the shaded region using the Trapezoidal Rule and Simpson's Rule with n = 4. ...

Calculate the directional derivative in the direction of v at the given point.
fx, v)- tan Cy). -(1,...

I need step by step with explanations, because I turned my brain off and I’m having trouble turning ...

Find the function which solves the initial value problem
dy/dx= 3ex −2x;  y(0)=−1.

Find the exact length of the curve of the equation that is in the picture, make sure that you show a...

Water drains from the conical tank at the rate of 5ftmin
14.
4
10
Exit rate: 5 ft/min
a. What is the...

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a. Determine whether the Mean Value Theorem applies to the function f(x)= ex on the given interval [...

Find the work required to move the object on the line segment. Please refer to attached image.

What is the position at time t of a car that is accelerating at a rate of 5 meters per second square...

Find the point P on the line y = 5x that is closest to the point (52,0).  What is the least distance...

Use the substitution formula
Integral from a to b f left parenthesis g left parenthesis x right pare...

Find the values of the convergent series
[from k=4 to infinity] E (2/3)3n-1 (-4/7)2n+3
*that E just ...

For the year data given in the chart find a power function that is used to model the Lorenz function...

A​ hot-air balloon is 190 ftabove the ground when a motorcycle​ (traveling in a straight line on a h...

Hello, 
I am having trouble in finding the difference between these equations to find the solutions....

Find the derivative of y with respect to x.

How can I get the result?
Which is the result?

find the inverse of  y from the function that is in the picture below

Use Green's Theorem to evaluate the line integral oriented counterclockwise. 
Please refer to attach...

Use properties of limits and algebraic methods to find the limit, if it exists. (If the limit is inf...

2
sec x
Ay
and the
2
In the figure to the right, the equation of the solid curve is y
equation of th...

Find the area of the region that lies inside both curves.

r = 9 + cos(θ),    r = 9 − cos(θ)

A three times differentiable function fwith f'(x) 0 has a D-derivative at x given
2
f'"(x) 3(f"(x)
D...

Given the marginal cost function C’(x) = 3x2 – 6x, find the cost to produce x items if the fixed cos...

The DeWitt Company has found that the rate of change of its average cost for product is C'(x)=(1/4)-...

y′=−2ex −2x2 +3x+6
y(0)=5
Solve the initial value problem above. Do not include "y=" in your answer.

I did the test points but not sure how to answer??? It’s positive when less than 3, less than 0 and ...

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(x2+2x)3
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+C
6
22-1C
+
-2 2x)1+C

Find an equation of the tangent line to the curve at the given point.
y x-2x +
1, (2, 5)
Need Help?
...

7n
5-4n
For the following answer blanks, decide whether the given sequence or series is convergent o...

Given f(x) = x^3 + 3x - 2 , find y = (f ^-1 (x))' at the point (2,1)

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using the formula attached to this question find the GINI Index if the Lorenz Function is Y= 0.92x1....

Find all the roots of the given function.

Use the shell method to find the volume of the solid generated by revolving the region bounded by th...

26. Let R be the region bounded by(y = x^2) and y = 4. Compute the volume of the solid formed by revolving R about the given line.y = 4		(b) the y-axis		(c) y = 6(d) y = –2		(e) x = 2		(f) x = –4(b) this is what figured out and got from symbolabpi\int _{-2}^2\:\left(4\right)-\left(x^2\right)     or 33.51032

In order to understand the given question, please see the picture on the white board.&nbsp;The parabola represents the curve y = x2. AB is the line y = 4 that cuts the parabola at point A and B.x coordinate of the points A and B are -2 and 2 respectively.The shaded portion is the area enclosed between the line y=4 and the curve y = x2. Now consider a thin strip of area shown as double hashed. If the entire graph is rotated across y=4 i.e. line AB, the thin stip of area will give rise to a circular area on full rotation.The radius of this circle will be, R = 4 - x2. &nbsp;Please see what R is pictorially.

Area of this typical circle, A = pi.(R2)If we move this circle by an amount dx across the x axis, we will end up getting a small volume, dV = A.dxIn order to get the entire volume we will have to integrate dV = A.dx over the entire range of x i.e. from point B to A.

Please see the evaluation of volume on white board. Since the integran is an even ...

Calculus

Math

26. Let R be the region bounded by(y = x^2) and y = 4. Compute the volume of the solid formed by revolving R about the given line. y = 4		(b) the y-axis		(c) y = 6 (d) y = –2		(e) x = 2		(f) x = –4(b) this is what figured out and got from symbolab pi\int _{-2}^2\:\left(4\right)-\left(x^2\right) or 33.51032

32π

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