Test by Mrs. Halfacre

Integrate 2x/(x^2 + 9)dx from 0 to 4.

16

ln (25/9)

ln 4

If g(x) = cos (arcsin x), what is the range of g(x)?

[-pi/2, pi/2]

[-1,1]

[0,1]

If g(x) = 2x + 5, then the derivative of the inverse of g(x) is

1/2

2

2x - 5

If f(x) = e^(-2x), then f ' ' ' ' (x) =

16 e^(-2x)

-8 e^(-2x)

8 e^(-2x)

y = arccos (6x^2) Find y'

x/sqrt(1 - 6x^2)

sin (12x)

(-12x)/sqrt(1 - 36x^4)

If y = ln(4x) + 4^x, then dy/dx =

1/x + x(4^(x - 1))

1/x + 4 ln x

1/x + 4^x ln 4

the integral of (x/(x + 3))dx =

ln |x + 3| + C

x - ln |x + 3| + C

None of the above answers are correct

A culture of bacteria doubles itself every hour. If N is the original number present, then the amount present after 1 hour and 40 minutes is

N[(32)^(1/3)]

9/2 N

sqrt(2) N

The integral of (x^2)/(2x^3 - 4) dx =

ln |2x^3 - 4| + C

(1/6)x ln|2x^3 - 4| + C

e^(2x^3 - 4) + C

If y = e^(sin x), then dy/dx =

e^(cos x)

(e^x)(sin x)

(e^sin x)cos x