An open box is to be made from a square piece of cardboard, 
on a side, by cutting equal squares with sides of length x from the corners and turning up the sides (see figure below). After determining the function V, in terms of x, that represents the volume of the box, use a graphing utility to estimate the dimensions that will maximize its volume.
A. 
B. 
C. 
D. 
E. 
Answer: B
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Find the arc length of the given curve.x =2 cos t, y = 2 sin t, z = 9t, -? ? t ? ?
A. ?
B. 
C. 2?
D. 170?
Solve the problem.A curved bridge rises over a river, so that the two endpoints of the bridge are 140 yards apart horizontally. You walk across the bridge with a device to measure its length and discover that the walking distance is 142 yards. Approximately how high does the bridge rise above the horizontal?
Fill in the blank(s) with the appropriate word(s).
Find the acceleration of an object for which the displacement s (in m) is given as a function of the time t (in s) for the given value of t.s = -5t3 - 3t2 - 7t - 5, t = 2 s
A. -79 ft/s2 B. -32 ft/s2 C. 81 ft/s2 D. -66 ft/s2
Solve the equation. Simplify. If the solution is an improper fraction, write it as a mixed number.5
= 1
m
A. m = 2
B. m = 2
C. m = 3
D. m = 2