1. Let f(x) = x3 + 4x - 1. The slope of the tangent line at P(15, 2) on the graph f -1 is

a) -679

b)

c)

d) -16

e) none of these

2. Evaluate the limit of f as x approaches infinity if f(x) = [1 + (2/x)] x .

a) e

b) e2

c) 2e

d) e/2

e) none of these

3. Let . Then the derivative of F(x) is

a) 2x cos (x4) - cos (x2)

b) cos (x4) - cos (x2)

c) -2 sin (x2)

d) 2x sin (x2)

e) none of these

4. Find the volume of the figure obtained by revolving the area below the graph of y = x2 from x = 2 to x = 3 around the y-axis.

a)

b)

c)

d)

e) none of these

5. If f is an odd function, integrable on [-a, a], then

a) 0

b)

c)

d) undefined

e) none of these

Sample Morning Component Rules
Main Sample Questions Page