Provide an appropriate response.Find the extrema of f(x, y, z) = x + yz on the line defined by x = 5(4 + t), y = t - 5, and z = t + 4. Classify each extremum as a minimum or maximum. (Hint: w = f(x, y, z) is a differentiable function of t.)
A. (10, -7, 2), minimum; (30, -3, 6), maximum
B. (30, -3, 6), minimum; (0, -5, 0), minimum
C. (30, -3, 6), minimum
D. (10, -7, 2), minimum
Answer: D
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Simplify the difference quotients 
and 
for the following function. Rationalize the numerator when necessary.f(x) = 
A. - 
; - 
B. 
; 
C. 
; 
D. - 
; - 
Write the expression as a single logarithm. Leave your answer in simplest form without negative or fractional exponents.4 loga 7 + 2 loga 6
A. loga(74 ? 62)
B. (loga 72)(loga 62)
C. loga(28 + 28)
D. loga 
Solve the equation.23(x + 8) = 32(x + 5)
A. 109 B. -19 C. -109 D. 19
Find all of the real and imaginary roots, stating the multiplicity of each.f(x) = -6x2(x - 6)(x + 1)3
A. -1 with multiplicity 3 0 with multiplicity 2 1 with multiplicity 1 6 with multiplicity 1 B. -1 with multiplicity 3 0 with multiplicity 2 6 with multiplicity 1 C. -1 with multiplicity 3 6 with multiplicity 1 D. -1 with multiplicity 1 1 with multiplicity 1 6 with multiplicity 1