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# Can you help me with this AP Calculus problem?

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...

# Find the interest earned on an interest-bearing account

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

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

# Should I use U-substitution for finding the Integral of X^2/(x^2 + x-6)

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

# derivadas de la funcion y= sen x

que derivadas sales de la funcion y= sen x

# Central Angle and Depth Relation Calculus

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)?

# Find the arc length of the curve on the interval [0, 2p]

1, x = 2+t2 , y = t2 + t3

# Find slope and concavity (if possible) at the given value of the parameter ?

1, x = t2 + 5t +4 , y= 4t , t=o 2, x = cosθ, y = 3sinθ , θ=0

# Let f(x) = integral from (-2) to (x^2-3x) of e^(t^2) dt. At what value of x is f(x) a minimum?

At what value of x is f(x) a minimum?   I know f'(x) = e^((x^2-3x)^2) , but I don't know how to continue.   Thanks!

# find the values of r

r^4 − 2r^3 +r^2 + 8r − 20=0

# Determine the equations for the tangents to the points on the curve y=-x^4 + 8x^2 such that the tangent lines are perpendicular to the line x=1

Determine the equations for the tangents to the points on the curve y=-x^4 + 8x^2 such that the tangent lines are perpendicular to the line x=1

# Determine the slope of the tangent to the graph of y = 6x^4 +2x^3 +5 at the point (-1,-3)

Find the answer first using the deriavtive of the polynomial function.

# Calculus - Continuity Problem

the problem is let F(x) = ((x3 - B) / (x-2)) if X<0 , Ax+B if 0<x<4 , 2x2 if x>4  I have to find both A ad B which make it continuous...

# determine the point at which the slope of the tangent to each parabola is zero

here the the equation of the parabola: y=6x^2 - 3x +4

# Solve for x: sin (inverse) x + sin (inverse) 2x = pi/3

Solve for x: sin (inverse) x + sin (inverse) 2x = pi/3   [ sin (inverse) refers to the inverse function of sine. Also written as sin^-1 ]

# Partial Derivatives

Let a and b be positive constants. Let R(x,y) = bx^(a)y^(b) 1. Calculate x(∂R/∂x) + y(∂R/∂y). 2. Calculate (a + b)R(x,y). 3. How are the two expressions above related...