Parametric equations and a parameter interval for the motion of a particle in the xy-plane are given. Identify the particle's path by finding a Cartesian equation for it. Graph the Cartesian equation. Indicate the portion of the graph traced by the particle and the direction of motion.x = 4 cos t, y = 4 sin t, ? ? t ? 2?
A. x2 + y2 = 1
Clockwise from (1, 0) to (1, 0), one rotation
B. x2 + y2 = 16
Counterclockwise from (-4, 0) to (4, 0)
C. x2 + y2 = 16
Clockwise from (4, 0) to (-4, 0)
D. x2 + y2 = 16
Counterclockwise from (4, 0) to (4, 0), one rotation
Answer: B
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Solve the problem.The accompanying figure shows the graph of y = x2 shifted to a new position. Write the equation for the new graph.
A. y = x2 + 6 B. y = (x + 6)2 C. y = x2 - 6 D. y = (x - 6)2
Find all vertical asymptotes of the given function. f(x) = 
A. x = 0, x = -16 B. x = -4, x = 4 C. x = 0 D. x = 0, x = -4, x = 4
Solve the problem.In the spinner shown below, the regions numbered 1 and 2 correspond to 90? angles. The region numbered 3 corresponds to a 100? angle and the region numbered 4 corresponds to a 60? angle. Find the probability that, when spun randomly, the spinner will land on the region numbered 5.
A. 
B. 
C. 
D. 
E. none of these
Without using the trigonometric function keys, use a calculator and the given trigonometric values to find the indicated value. Round to four decimal places.Given:sin 68° = 0.9272cos 68° = 0.3746tan 68° = 2.4751Find sec 292°.
A. -0.9272 B. 1.0785 C. -1.0785 D. 0.3746