Find the center of mass of a thin plate covering the given region with the given density function.The region enclosed by the parabolas y = 72 - x2 and y = x2, with density ?(x) = x2
A. 
= 36, 
= 0
B. 
= 0, 
= 
C. 
= 0, 
= 36
D. 
= 0, 
= 72
Answer: C
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Find the absolute extreme values of the function on the interval.f(x) = tan x, - 
? x ? 
A. absolute maximum is -1 at x = 
; absolute minimum is 
at x = - 
B. absolute maximum is 
at x = 
; absolute minimum is -1 at x = - 
C. absolute maximum is 
at x = 
and - 
; no minimum value
D. absolute maximum is 
at x = 
; absolute minimum is -1 at x = - 
Graph the function, showing all asymptotes (those that do not correspond to an axis) as dashed lines. List the x- and y-intercepts.f(x) = 
A. No x-intercepts, no y-intercepts ;
B. No x-intercepts, no y-intercepts ;
C. No x-intercepts, no y-intercepts ;
D. No x-intercepts, no y-intercepts ;
Solve the problem.Consider the quadratic model h(t) = -16t2 + 40t + 50 for the height (in feet), h, of an object t seconds after the object has been projected straight up into the air. Find the maximum height attained by the object. How much time does it take to fall back to the ground? Assume that it takes the same time for going up and coming down.
A. maximum height = 50 ft; time to reach ground = 2.5 seconds B. maximum height = 75 ft; time to reach ground = 1.25 seconds C. maximum height = 50 ft; time to reach ground = 1.25 seconds D. maximum height = 75 ft; time to reach ground = 2.5 seconds
Evaluate the expression using the order of operations.9 + (-1) + 3 ? (-3)
A. 17 B. 1 C. -1 D. 19