Provide an appropriate response.
If C(x) = 8x + 1,000 and A(x) = 
, R(x) = $20x, and P(x) = R(x) - C(x), then if x = 200, P(x) =
A. 1,400
B. 1,200
C. 1,600
D. 1,800
Answer: A
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Use similar triangles and the fact that corresponding sides are proportional to find the length of the side marked with an x.
A. 39 in. B. 156 in. C. 4.3 in. D. 0.9 in.
Solve the inequality graphically.
x > 
x
A. x > 0 B. x > 1 C. x < 0 D. x < 1
Find the horizontal asymptote(s), if any, of the graph of the rational function.g(x) = 
A. y = -4 B. y = 0 C. y = 9 D. no horizontal asymptote
Provide an appropriate response.Find the value(s) of t corresponding to the extrema of f(x, y, z) = sin(x2 + y2)cos(z) subject to the constraints x2 + y2 = 3t, 
and z = 
. Classify each extremum as a minimum or maximum. (Hint: w = f(x, y, z) is a differentiable function of t.)
A. t = 
, minimum; t = 0, maximum
B. t = 
, minimum; t = - 
, maximum
C. t = - 
, maximum
D. t = 
, minimum