Find the volume of the solid.Use  for ?.

A. 2 cu mi
B. 13 cu mi
C. 71 cu mi
D. 23 cu mi


Answer: D

Mathematics

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An objective function and a system of linear inequalities representing constraints are given. Graph the system of inequalities representing the constraints. Find the value of the objective function at each corner of the graphed region. Use these values to determine the maximum value of the objective function and the values of x and y for which the maximum occurs.Objective Functionz = 9x - 18yConstraints0 ? x ? 5 0 ? y ? 8 4x + 5y ? 30 4x + 3y ? 20

A. Maximum: -78.75; at (1.25, 5) B. Maximum: 0; at (0, 0) C. Maximum: 45; at (5, 0) D. Maximum: -108; at (0, 6)

Mathematics

Determine whether the given function is one-to-one. If it is one-to-one, find its inverse.f(x) = 

A. f-1(x) = (x + 5)3
B. f-1(x) = x3 + 5
C. f-1(x) =  - 5
D. f-1(x) = (x - 5)3

Mathematics

Solve the problem.Estimate the minimum number of subintervals needed to approximate the integral with an error of magnitude less than 10-4 using the Trapezoidal Rule.

A. 245 B. 151 C. 174 D. 300

Mathematics

Simplify the expression by using the order of operations.2 ? 9 - 2

A. 20 B. 36 C. 14 D. 16

Mathematics