Use the following property of the definite integral to estimate the definite integral


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

Solve for x using an equivalent exponential expression.Find the volume of a rectangular box 3 feet by 7.3 feet by 4 feet.

A. 48 cu ft B. 213.16 cu ft C. 65.7 cu ft D. 87.6 cu ft

Mathematics

Solve the system.

A. x = 0, y = 1, z = 0 B. x = -1, y = 1, z = 1 C. x = 0, y = 0, z = 1 D. x = 1, y = -1, z = 1

Mathematics

Provide an appropriate response.Critique the validity of the expression  = .

A. It is valid, because a derivative can be squared the same as any function.
B. It is not valid, because it should read " = ± ".
C. It is not valid, because the notation  does not mean the square of .
D. It is valid, because  cannot be negative.

Mathematics