Find the indicated derivative of the function.f'''(x) of f(x) = 

A. 6(x + 1)-4
B. 6(x + 1)-3
C. -6(x + 1)-4
D. -6(x + 1)-3


Answer: A

Mathematics

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Find the derivative of y with respect to x, t, or ?, as appropriate.y = e10 - 6x

A. -6e10 - 6x B. e-6 C. 10e10 - 6x D. -6 ln (10 - 6x)

Mathematics

Solve the problem.In one study, a type of fish was exposed to a toxin. The table lists toxin concentrations in the fish after a certain number of hours. The concentration C of the toxin in the fishes' bloodstream was measured in micrograms of toxin per gram of fish after x hours of exposure.  (i) Describe the relationship between x and C; (ii) Use regression to find a cubic polynomial function f(x) that models the data; (iii) graph C and the data; (iv) Concentrations above 30 are lethal to the fish. Determine how many hours of exposure it takes for this to occur.

A. (i) As x increases, C increases; 
(ii) f(x) ? 0.38x3 - 4.35x2 + 22.97x - 33.40
(iii)
 
(iv) x ? 6.0 (approximately)
B. (i) As x increases, C increases; 
(ii) f(x) ? 0.38x3 - 5.35x2 + 24.97x - 33.40
(iii)
 
(iv) x ? 9.1 (approximately)
C. (i) As x increases, C increases; 
(ii) f(x) ? 0.28x3 - 5.35x2 + 22.97x - 33.40
(iii)
 
(iv) x ? 6.2 (approximately)
D. (i) As x increases, C increases; 
(ii) f(x) ? 0.28x3 - 4.35x2 + 24.97x - 33.40
(iii)
 
(iv) x ? 7.9 (approximately)

Mathematics

Provide an appropriate response.True or false?   +  = 

Fill in the blank(s) with the appropriate word(s).

Mathematics

Multiply.3 ? 

A.
B.
C.
D.

Mathematics