AP Calculus BC - CSA #2 Review

What is the limit as the function shown approaches 0?

What is the change in y according to θ for the function r = 2cos2θ at θ = π

The antiderivative of xcosx is

g is the antiderivative of f such that g(3) = 7. Where is g concave up?

Let f be cont. on [a, b]. If f has a rel max at c and a < c < b, what must be true?

If f''(x) = x(x+1)(x-2)², then the graph of f has inflection points when x =

The rate at which cars come into the lot is P' = t² on [0, 3]. If P(0) = 12, find P(3).

What is the area enclosed by the function r = 2cosθ

Where do the polar functions r = 1 and r = 2cosθ intersect?

Which of the following is true?

Find the average value of the continuous function f on [-4, 4].

What's Mr. Anderson's favorite calculus topic?

The rate the ants in Mr. A's backyard is given by the function. When is the rate highest?

What type of discontinuity is pictured here?

On [-4, 4], find the x-value of all relative maxima of f.

Use a trapezoidal sum to find the integral of f(x) on [0, 2]

If H is the temperature (°F) of Mr. A's coffee, where t is the hours since 6AM, what is H'(4)?

Which of the following is the equation of the tangent line of f(x) = x⁴ + 2x² when f'(x) = 1?

g is the antiderivate of f such that g(3) = 7. Find all values of f where g has a rel. max.

If x(t) = 4t and y(t) = 16t³, find dy/dx at t = 2.

If the velocity of a particle is given by <-2sint, 4t^2>, find the acc. vector at t = 3.

What is the area enclosed by the function r = 1 - cosθ?

A function f is continuous on [2, 5], with f(2)=17, f(5)=17. To use MVT, what do you need?

See the diagram shown.

If x(t) = 3t² and y(t) = 9e^t, find the distance travelled from t = 0 to t = 3.