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1) A.0.110 B.0.064 C. 0.031 D.0.01 E.0 2) A machine is rolling a metal cylinder

ID: 2829786 • Letter: 1

Question

1)

A.0.110

B.0.064

C.0.031

D.0.01

E.0

2)

A machine is rolling a metal cylinder under pressure. The radius of the cylinder is decreasing at a constant rate of 0.05 cm/sec and the volume Vis 128 ? cm3. At what rate is the length h changing when the radius r is 2.5 cm? V = ? r2h.

A.20.48 cm/sec

B.0.4096 cm/sec

C.-16.38 cm/sec

D.0.8192 cm/sec

E.None of these

3)

Given that f(x)=-x^2+8x-15 has a relative m aximum at x=4,choose the correct statem ent.

A.f' is positive on the interval (-?,?)

B.f' is negative on the interval (4,?)

C.f' is negative on the interval (-?,4)

D. None of these

4)

A.f is not continuous on [ -2, 0 ] but f is differentiable on (-2,0)

B.f is continuous on [ -2, 0] but f is not differentiable at x = -1

C.f is not continuous on [ -2, 0 ] AND f is not differentiable at x = -1

D.None of these

5)

The rate of change in numbers of quail in a population is given by dQ / dt = 10Q - 5Q2 where Q is the number of Quail (in hundreds) t years after January 1, 2009. For what value of Q is the number of quail increasing the fastest?

A.Q=0

B.Q=1

C.Q=2.5

D.Q=5

E.Q=10

6)

0

800

1600

2000

nonexistent

7)

The position function for a particular object is s(t) = 4t2 + 3t + 5. Which of the following statements is true?

The velocity is constant.

The initial position is 3.

The initial velocity is 5.

The velocity at time t = 1 is 11.

None of these.

8)

x - 3y = 0

y - 3x = 0

x + 3y = 0

y + 3x = 0

Does not exist.

Explanation / Answer

A.0.110
B.0.4096 cm/sec
C.f' is negative on the interval (-?,4)
C.f is not continuous on [ -2, 0 ] AND f is not differentiable at x = -1
B.Q=1
1600
The initial velocity is 5.
y - 3x = 0