Evaluate. Assume u > 0 when ln u appears. 
A. - 4(8 + 4x3)-3/4 + C
B. 6(8 + 4x3)5/4 + C
C. (8 + 4x3)5/4 + C
D. (8 + 4x3)5/4 + C
Answer: D
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Solve the problem.Assume that a population is growing initially at a rate of 5.5%. If P2 = 0.72, use the logistic growth model to compute the value of P3.
A. 0.78 B. 0.85 C. 0.70 D. 0.73
For the function, find the average rate of change of f from 1 to x: f(x) =
A.
B.
C. -
D.
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 Function z = 6x + 7yConstraints x ? 0 y ? 0 2x + 3y ? 12 2x + y ? 8
A. maximum 32; at (3, 2) B. maximum 52; at (4, 4) C. maximum 32; at (2, 3) D. maximum 24; at (4, 0)
Suppose that y varies directly with x. Find an equation that relates x and y.y = 180 when x = 290
A. y = 1.61x B. y = 0.72x C. y = 180x D. y = 0.62x