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Mark the letter of the best or closest choice on
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1. |
If f ¢(x) = | 2 – x | – 1, then the function f has a point of inflection . . . |
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(A) when x = 0 |
(D) when x = ±1 |
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2. |
Let y = f (t) be a positive function that
exhibits exponential decay. Which of these is a differential equation that
properly represents the situation? |
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(A) y ¢ = ky,
where k < 0 |
(D) y ¢ = k/t, where k < 0 |
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3. |
If |
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(A) |
(D) |
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4. |
Water weighs 62.4 lbs. per
cubic foot. A leaky bucket has initial volume 1 cu. ft. and final volume .5
cu. ft., and water leaks at a constant rate as the bucket is lifted from ground
level to a height of 4 ft. The amount of work done is approximately . . . |
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(A) 125 ft-lbs. |
(D) 187 ft-lbs. |
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5. |
A particle’s velocity in the
up or down direction (where up = positive, down = negative) is given by v(t) = 2t – 8. The particle’s position at time t = 0 is the point (0, 0) in the xy-plane. At time t = 4, the particle is at the point .
. . |
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(A) (0, 0) |
(D) (8, 0) |
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6. |
In #5, what occurs at time t = 4? |
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I. The particle achieves its global maximum distance from the
origin. |
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(A) I only |
(D) I and II only |
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7. |
In #5, if y(t)
denotes the particle’s y coordinate
at time t, then the distance
traveled during the period when 2 £ t £ 4 equals . . . |
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(A) y(4) – y(2) |
(D) ½(y(2) – y(4)) |
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8. |
If x2 + y2
= 25, what is the value of |
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(A) –25/64 |
(D) 9/16 |
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9. |
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(A) 10 |
(D) 16 |
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10. |
If x3 – 2xy = 7x, then dy/dx
= |
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(A) |
(D) |
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11. |
The expression |
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(A) |
(D) |
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12. |
If the region enclosed by
the line y = 2x, the line x = 3, and
the x-axis is revolved about the y-axis, the volume created equals . .
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(A) 12p |
(D) 32p |
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13-15. |
FREE! |
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