The graphs of the polar curves r=3 and r=4-2sin(theta) are shown in the figure above. The curves intersect when theta=pi/6 and theta=5pi/6. a) Let S be the shaded region that is inside...

The graphs of the polar curves r=3 and r=4-2sin(theta) are shown in the figure above. The curves intersect when theta=pi/6 and theta=5pi/6. a) Let S be the shaded region that is inside...

for the function f(x)=1/3(x+2)^2(x-3)^2, find the transition points, intervals of increase/decrease,concavity,and asymptotic behavior.

What can you conclude about the graph of f(x) from the following table? justify your answer -1 ...

Find the maximum value M and the minimum value m of the function in the given interval use sign charts to support your findings A) y=2 radical x- 3x ;[1,4] B)y=cube root of x+1 + the cube...

Every month, a particular interest-bearing account earns 0.2 percent interest on the average balance for that month. The function B(t) =7.5t^2 -300t +5000 represents one investor's balance...

Find the MacLaurin Series of f(x) = x3sin(x)

I am trying to understand what's best to start this problem.

que derivadas sales de la funcion y= sen x

how is the relationship between the central angle theta and the depth of an amount of liquid in a cylinder tank on its side h= r(1-cos(theta/2)?

A company produces mattresses and wishes to maximize its profit. The cost, in dollars, for x mattresses can be modeled by the function C(x) = 18000 + 400x – 3.5x2 + 0.002083x3. The demand...

If 16x^2 - 24x + k = 0 has two roots (a double root) equal to 3/4, 4 = ?

A water tank in the shape of a hemispherical bowl of radius 4 m is filled with water to a depth of 2 m. How much work is required to pump all the water over the top of the tank? (The density of the...

) Let f(x) = e x – 2 + 5. Answers...

) Let f(x) = e x – 2 + 5. Answers...

Set up, but do not evaluate, the integral which gives the volume when the region bounded by the curves y = Ln(x), y = 1, and x = 1 is revolved around the line y = −1

I don't understand how to find an acute angle between 3y= x - 7 and 2y= 3 - 4x. Could you help me?

I'm having a lot of trouble with the set up and integration. Please help me with this problem, thank you. I know you are supposed to use the formula integral(2pi * y * sqrt(1+(y')^2)).

Let g(x,y)=(xy)^(1/3). e.Does the graph of g have a tangent plane at (0,0)? Explain briefly. f.Is g differentiable at (0,0)? Explain briefly. I asked this question yesterday...

A stone is thrown into a lake and a circular ripple moves out atba constant speed of1m/s. Find the rate of change of surface area at the instant when its radius is 2m.

Let g(x,y)=(xy)^(1/3). a. Is g continuous at (0,0)? I put down yes since it's not undefined there. b.Calculate ∂g/∂x and ∂g/∂y when xy≠0. This wasn't too bad and...

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