Barrons AP Calculus

(Marvins-Underground-K-12) #1
3.

(a)
(b)
(c)
4.
(a)

Part B

TIME: 60 MINUTES
4 PROBLEMS


No calculator is allowed for any of these problems.


If you finish Part B before time has expired, you may return to work on Part A,
but you may not use a calculator.


Consider     the     first-quadrant  region  bounded     by  the     curve   ,   the
coordinate axes, and the line x = k, as shown in the figure above.
For what value of k will the area of this region equal π?
What is the average value of the function on the interval 0 ≤ x ≤ k?
What happens to the area of the region as the value of k increases?

Given   the following   differential    equation        =   x   −   2y  +   1.
Sketch the slope field for the differential equation at the nine
indicated points on the axes provided.
Free download pdf