(A) 7
(B) 82
(C) 124
(D) 141
(E) 164
- The first-quandrant area inside the rose r = 3 sin 2θ is approximately
(A) 0.59
(B) 1.50
(C) 1.77
(D) 3.00
(E) 3.53
Section II
Part A TIME: 30 MINUTES
2 PROBLEMS
A graphing calculator is required for some of these problems.
See instructions.
- (a) For what positive values of x does converge?
(b) How many terms are needed to estimate f (0.5) to within 0.01?
(c) Would an estimate for f (−0.5) using the same number of terms be more accurate, less accurate,
or the same? Explain. - An object in motion along the x-axis has velocity v(t) = (t + et )sin t^2 for 1 ≤ t ≤ 3.
(a) Sketch the graph of velocity as a function of time in the window [1,3] × [−15,20].