9. The critical numbers of the function f(x) = x^3 - 12x^2 + 48x - 54 include:
A) 4
B) ±4
C) 4 and 0
D) -4 and 0
10. Suppose that the profit of a product from the advertising cost x is approximated by P(x) = -x^3 + 36x^2 + 14x - 30. The point of diminishing returns between 0 to 18 is:
A) (12, P(12))
B) (16, P(16))
C) (14, P(14))
D) (14, 30
11. Antiderivatives of y = (1)/(x) include
A) y = (1)/(x^2) + 1
B) 2 + ln(x)
C) y = -(1)/(x^2)
D) y = (1)/(√(x)) - 1
12. The indefinite integral of y = x^(2(e-1)) is
A) (1)/(2e-1)x^(2e-1)
B) (1)/(2e-1)x^(2e-1) + c
C) (1)/(2)x^(e-1) + c
D) y = (1)/(2(e-1))x^(2(e-1)) + c
13. The indefinite integral ∫ 10e^(5u) du is
A) 10e^(5u) + c
B) 50e^(5u) + c
C) 2e^(5u) + c
D) 0.5e^(5u) + c
14. The indefinite integral of y = log_(2)x is
A) (ln2)*(1)/(x) + c
B) (ln2)*(1)/(x^2) + c
C) x*log_(2)x - (x)/(ln2) + c
D) log_(2)(x^2) - (x)/(ln2) + c
15. The area of the region enclosed by the curve of y = x^2, the lines x = 1 and x = 3, and the x-axis is:
A) (80)/(3)
B) 9
C) (28)/(3)
D) (26)/(3)