Solve the problem.An appliance company determines that in order to sell x dishwashers, the price per dishwasher must bep = 420 - 0.4x.It also determines that the total cost of producing x dishwashers is given byC(x) = 4000 + 0.8x2.What is the maximum profit?
A. $69,500
B. $36,750
C. $40,750
D. $32,750
Answer: D
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Use a tree diagram showing all possible results when a die is rolled twice. List the ways of getting the following result.The sum of the numbers showing is 8.
A. (2,6),(3,5),(4,4),(5,3),(6,2) B. (2,6),(3,5),(4,4) C. (4,4) D. (2,6),(3,5),(5,3),(6,2)
Rewrite the given integral so that it fits the form , and identify u, du, and n.
A. ; u = csc x, du = cot6x dx, n = 2
B. -; u = cot x, du = - csc2 x dx, n = 6
C. ; u = cot x, du = csc2 x dx, n = 6
D. ; u = tan x, du = csc2x dx, n = -6
Simplify the expression representing the derivative of a function.f'(x) = (4x4 - 3x3 + 6x - 5)(6x) + (x - 3)(6x2 - 6)
A. 24x5 - 18x4 - 6x3 + 18x2 - 36x - 18 B. 24x5 - 18x4 + 6x3 + 18x2 - 36x + 18 C. 24x5 - 18x4 + 6x3 - 36x2 - 36x + 18 D. 24x5 - 18x4 - 18x2 - 30x + 18
Find the domain of the rational function.f(x) =
A. {x|x ? 0, x ? -25} B. {x|x ? -5, x ? 5, x ? -8} C. {x|x ? -5, x ? 5} D. all real numbers