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)?

The velocity v m s –1 of a particle at time t seconds, is given by v = 2t + cos2t, for 0 ≤ t ≤ 2. (a) Write down the velocity of the particle when t = 0. When t = k, the acceleration...

what values for length and width give the maximum area if the perimeter is 100

F=e^y i+(xe^y+e^z)j + (ye^z)k evaluate ⌠Fdr along A(0,2,0) and B(4,0,3). Find if its conservative and if so find its potential then use A and B.

Evaluate I =⌠⌠FdS , where F( x,y,z) = x^3 i + y^3 j + z^3 and S is the surface of the solid bounded by the hemisphere z =sqrt(1-x^2-y^2)and the plane z = 0

Helium is pumped into a spherical balloon at a rate of 5 cubic feet per second. How fast is the radius increasing after 2 minutes? Rate of change of radius (in feet per second)...

Evaluate the definite integral (if it exists) 2 ∫ −1x(√x-1) dx 1

Evaluate the definite integral a ∫−2x√(x^2+a^2) dx -a

Evaluate the definite integral 1 ∫ x^2√(4x+8x) dx 0

List the critical numbers of the following function in increasing order. Enter N in any blank that you don't need to use. G(x)=^3√3x^2-3x The square root is over everyt...

Evaluate the given indefinite integrals. a) ∫ a dx=_____+C b) ∫ t^2 dx=_______+C

If f(x)=1x+2, find f′(−5), using the definition of derivative. f′(−5) is the limit as x→_____ of the expression __________ The value of this limit is _________

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