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)?

Approximate the zero(s) of the function. Use Newton’s Method and continue the process until two successive approximations differ by less than 0.001. Then find the zero(s) using a graphing utility...

Complete two iterations of Newtons Method to approximate a zero of the functions using the initial given guess. Show all work. 1. f(x) = x^2 -...

The sum of the perimeters of an equilateral triangle and a square is 24. Find the dimensions of the triangle and the square that produce a minimum total area.

A rectangular page is to contain 38 square inches of print. The margins on each side are 1 inch. Find the dimensions of the page such that the least amount of paper is used.

A farmer plans to enclose a rectangular pasture adjacent to a river (see figure). The pasture must contain 80,000 square meters in order to provide enough grass for the herd. No fencing is needed...

Find the length and width of a rectangle that has the given perimeter and a maximum area. Perimeter: 264 meters

Find two positive numbers satisfying the given requirements. The sum of the first and twice the second is 80 and the product is a maximum.

calculus, differentiability

#1 f(x) = x [Times the SQUARE ROOT OF(x+24)] #2 f(x)...

Determine the open intervals on which the graph is concave upward or concave downward. f (x) = (x^2 + 2)/ (x^2 − 4)

Determine the open intervals on which the graph is concave upward or concave downward. f(x) = 28/(x^2 + 3)