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 = 7.0 in.; d = 9.4 in.
B. w = 7.0 in.; d = 11.4 in.
C. w = 5.0 in.; d = 11.4 in.
D. w = 6.0 in.; d = 10.4 in.
Answer: D
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A. {(-1, -6)} B. no solution; ? C. {(-1, -7)} D. {(-2, -6)}
Without graphing the function, determine its amplitude or period as requested.y = -3 sin 
xFind the amplitude.
A. 8?
B. 3
C. 
D. 
A certain tree grows by 2/t + e(-t2/2) feet per year, where t is the time in years. Use the trapezoidal rule with whole year intervals to estimate the total growth during the stated time interval.From t = 1 to t = 4
A. 4.221 ft B. 3.367 ft C. 4.404 ft D. 4.554 ft
Use the information given about the angle ?, 0 ? ? ? 2?, to find the exact value of the indicated trigonometric function.csc ? = 
, 
< ? < ?Find cos(2?).
A. 
B. - 
C. 
D. - 