For the pair of functions, find the product (fg)(x).f(x) = 5x + 3, g(x) = -x2 + 5x + 8
A. -5x3 - 23x2 + 55x - 24
B. -10x2 + 22x2 - 55x + 24
C. -5x3 + 22x2 + 55x + 24
D. 5x3 + 22x2 - 55x - 24
Answer: C
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Provide an appropriate response.For the space curve x = t, y = t2, z = t , find the points at which the function f(x, y) takes on extreme values if fx = 64, fy = 
, and fz = -80t.
A. t = -8 and t = 5
B. t = -16 and t = 10
C. t = 0
D. t = - 4 and t = 
Tell whether the following is an expression or an equation.-4x5 + x4
A. Expression B. Equation
The primal problem and the final tableau in the solution of the primal problem are given. Use the final tableau to solve the dual problem.Primal problem:Maximize 6x1 + 7x2subject to 2x1 + 3x2 ? 12 2x1 + x2 ? 8and x1 ? 0, x2 ? 0Final tableau in solution to primal problem: x1 x2 x3 x4 M 
A. Maximum = 32 when y1 = 2 and y2 = 1 B. Minimum = 0 when y1 = 0 and y2 = 0 C. Minimum = 32 when y1 = 2 and y2 = 3 D. Minimum = 32 when y1 = 2 and y2 = 1
Solve the proportion.
= 
A. 
B. 42
C. 
D. 