Graph the pair of parametric equations with the aid of a graphing calculator.x = 4 sin t - sin 4t, y = 4 cos t - cos 4t, 0 ? t ? 2?

A.

B.

C.

D.


Answer: C

Mathematics

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Determine whether the improper integral converges or diverges.

A. Converges B. Diverges

Mathematics

Find the exact value of the indicated trigonometric function of ?.tan ? = - , ? in quadrant IIFind cos ?.

A.
B.
C. - 
D. - 

Mathematics

Solve the problem.The annual population density of a species of insect after n years is modeled by a sequence. Suppose that the initial density of insects is 652 with r = 1.4. Write a recursive sequence that describes this data, where an  denotes the insect density during year n.Find the terms a1 , a2 , a3 , ...., a5 . Round to two decimal places, if necessary.

A. a1 = 652, a2 = 391.20, a3 = 234.72, a4  = 140.83, a5  = 84.50 B. a1 = 652, a2 = 652, a3 = 652, a4  = 652, a5  = 652 C. a1 = 652, a2 = 912.80, a3 = 1277.92, a4  = 1789.09, a5  = 2504.72 D. a1 = 912.80, a2 = 1277.92, a3 = 1789.09, a4  = 2504.72, a5  = 3506.61

Mathematics

Find the expected value.Suppose that 1,000 tickets are sold for a raffle that has the following prizes: one $300 prize, two $100 prizes, and one hundred $1 prizes. What is expected value of a ticket?

A. $300 B. $0.60 C. $1 D. $100

Mathematics