Solve the problem.A rock falls from a tower that is 83.3 m high. As it is falling, its height is given by the formula
with t in seconds. How many seconds will it take for the rock to hit the ground (h = 0)?
A. 8.9 sec
B. 1416.1 sec
C. 4.1 sec
D. 9.1 sec
Answer: C
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Solve the problem.Write an iterated triple integral in the order for the volume of the rectangular solid in the first octant bounded by the planes
,
, and
.
A.
B.
C.
D.
Use the Trapezoidal Rule with n = 4 steps to estimate the integral.
A.
B.
C.
D.
Solve the problem.A rectangular piece of cardboard measuring 12 inches by 34 inches is to be made into a box with an open top by cutting equal size squares from each corner and folding up the sides. Let x represent the length of a side of each such square. What is the maximum volume of this box? If necessary, round to 2 decimal places.
A. 1463.73 B. 1217.88 C. 509.66 D. 16,172.76
Solve.A railroad tunnel is shaped like a semi-ellipse. The height of the tunnel at the center is 26 ft and the vertical clearance must be 13 ft at a point 21 ft from the center. Find an equation for the ellipse.
A. +
= 1
B. +
= 1
C. +
= 1
D. +
= 1