Sketch D and g(D) from the description of D and change of variables x = u cos v, y = u sin v where D is the rectangle 1 ? u ? 2, 0 ? v ? ?

A.

?

B.
?

C.
?

D.
?


Answer: D

Mathematics

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Graph the pair of parametric equations with the aid of a graphing calculator.x = cos t + 4 cos 3t, y = 5 cos t - 4 sin 3t, 0 ? t ? 2?

A.

B.

C.

D.

Mathematics

The displacement d (in meters) of an object at time t (in seconds) is given. Describe the motion of the object. What is the maximum displacement from its resting position, the time required for one oscillation, and the frequency?d = 5 sin (5t)

A. simple harmonic; 5 m;   ? sec;   oscillations/sec
B. simple harmonic; 5 m; 5 ? sec;   oscillations/sec
C. simple harmonic; 5 m;   sec;   ? oscillations/sec
D. simple harmonic; -5 m;   ? sec;   oscillations/sec

Mathematics

Find all rational zeros of f. Then (if necessary) use the depressed equation to find all roots of the equation f(x) = 0.f(x) = x4 + 3x3 - 4x2 - 10x - 4

A. {1, -2, -2 + , -2 - }
B. {-1, 2, -2 + , -2 - }
C. {-1, -2, -2 + , -2 - }
D. {-1, 3, -2 + , -2 - }

Mathematics

Solve the system of equations by the substitution method.

A. (4, -2) B. (-2, 4) C. no solution D. (5, -3)

Mathematics