Simplify the expression. If any variables exist, assume that they are positive and write your answer in radical notation.
?
? 
A. 5
B.
C.
D. 5
Answer: D
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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 = 3 sin t, y = 5 cos t, 0 ? t ? 2?
A. +
= 1
Counterclockwise from (0, 3) to (0, 3), one rotation
B. +
= 1
Counterclockwise from (5, 0) to (5, 0), one rotation
C. +
= 1
Counterclockwise from (3, 0) to (3, 0), one rotation
D. +
= 1
Counterclockwise from (0, 5) to (0, 5), one rotation
Find the volume of the solid generated by revolving the region bounded by the graphs of the equations about the indicated line. Sketch the region and a representative rectangle.
Evaluate the expression without using a calculator.log2212
A. 12 B. 14 C. log212 D. 2
Solve the equation by completing the square.x2 + 12x + 27 = 0
A. ±
B. 36, -9
C. 3, 9
D. -3, -9