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.