Find the given value.Find (f ? g)(-5) when f(x) = x + 3 and g(x) = 2x2 + 12x + 2.
A. 16
B. 66
C. -416
D. 64
Answer: A
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Solve the problem.A box with an open top is to be constructed from a rectangular piece of cardboard with dimensions 13 inches by 26 inches by cutting out equal squares of side x at each corner and then folding up the sides as in the figure. Express the volume V of the box as a function of x.
A. V(x) = (13 - x)(26 - x) B. V(x) = (13 - 2x)(26 - 2x) C. V(x) = x(13 - x)(26 - x) D. V(x) = x(13 - 2x)(26 - 2x)
Solve the initial value problem.
= csc2 15? cot 15?, r
= 3
A. r = 
csc3 15? cot2 15? + 3
B. r = - 
tan2 15? + 
C. r = - 
cot2 15? + 
D. r = 
cot2 ? + 
Find the exact value of the expression.
A. - 
B. -2
C. - 
D. -
Solve the problem.Find (i) the exact volume, and (ii) the approximate volume, using 3.14 for ?, of the circular cone with base radius 11 inches and height 3 yards. Express the answers in cubic inches. Round the approximate answer to the nearest tenth.
A. (i) 13,068? in.3; (ii) 41,033.5 in.3 B. (i) 4356? in.3; (ii) 13,677.8 in.3 C. (i) 1452? in.3; (ii) 4559.3 in.3 D. (i) 121? in.3; (ii) 379.9 in.3