Solve the problem. Assume that relative maximum and minimum values are absolute maximum and minimum values.A company that manufactures tennis rackets has determined that the demand functions for the two types of rackets they produce are given by
and
where q1 is the price of the standard tennis racket, q2 is the price of the competition tennis racket, x is the weekly demand for standard rackets, and y is the weekly demand for competition rackets. How many of each type of racket must be produced to maximize revenue?
A. 26 standard rackets and 25 competitive rackets
B. 25 standard rackets and 25 competitive rackets
C. 26 standard rackets and 26 competitive rackets
D. 25 standard rackets and 26 competitive rackets
Answer: A
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Parametric equations and 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 = 4 cos t, 0 ? t ? 2?
A. +
= 1; Counterclockwise from
(3, 0) to (3, 0), one rotation
B. +
= 1; Counterclockwise from
(0, 3) to (0, 3), one rotation
C. +
= 1; Counterclockwise from
(4, 0) to (4, 0), one rotation
D. +
= 1; Counterclockwise from
(0, 4) to (0, 4), one rotation
Find the center and radius of the circle.x2 + (y - 5)2 = 4
A. (0, -5), r = 2 B. (-5, 0), r = 4 C. (0, 5), r = 2 D. (5, 0), r = 4
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 = -(x + 5)2 B. y = -x2 + 5 C. y = -(x - 5)2 D. y = -x2 - 5
Solve the equation for the specified variable.F = for m
A. m =
B. m = -Fr2 - GM
C. m =
D. m =