Find the derivative of the function.f(x) = (3x - 4)(7 - 9x3 )
A. -108x4 + 108x3 + 21x
B. -108x3 + 108x2 + 21
C. -108x3 + 108x2 + 21x - 28
D. -27x3 + 36x2 + 21
Answer: B
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Find the value of the specified finite sum.Given = 2 and
= 8, find
.
A. -18 B. 18 C. -14 D. 14
Evaluate the expression without using a calculator. (Assume the variable represents a positive number.)
?
?
A. ?
B. ?
C. ?
D. ?
E. ?
Solve the problem.An open-top box is to be made by cutting small identical squares from each corner of a sheet of tin and bending up the sides. If each corner square is x inches on a side, the volume of the box (in in.3) is given by: V(x) = 196x - 56x2 + 4x3By sketching the graph of V(x), estimate the value of x that maximizes the volume of the box.
A. 7 in. B. 1.8 in. C. 3.5 in. D. 2.3 in.
Simplify without using a calculator.
A.
B. 9
C.
D. 3