Solve the problem.The stiffness of a rectangular beam is proportional to its width times the cube of its depth. Find the dimensions of the stiffest beam than can be cut from a
cylindrical log. (Round answers to the nearest tenth.)
A. w = 5.5 in.; d = 9.5 in.
B. w = 6.5 in.; d = 10.5 in.
C. w = 6.5 in.; d = 8.5 in.
D. w = 4.5 in.; d = 10.5 in.
Answer: A
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Solve the problem.Evaluatewhere R is the interior of the ellipsoid
. Hint: Let
and then convert to spherical coordinates.
A. 90?2 B. 120? C. 120?2 D. 90?
Find the slope of a line tangent to the curve of the given equation at the given point.y = ;
A. -
B.
C. -
D.
Solve the problem.Use the formula s = r? to determine the value of s in the figure. Round to two decimal places, if necessary.
A. 3.82 in. B. 21.21 in. C. 1215 in. D. 2.36 in.
Describe the situation with a linear inequality and then solve the inequality.When making a long distance call from a certain pay phone, the first three minutes of a call cost $2.10. After that, each additional minute or portion of a minute of that call costs $0.50. Use an inequality to find the number of minutes one can call long distance for $7.10.
A. at most 13 minutes B. at most 3 minutes C. at most 14 minutes D. at most 10 minutes