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1 | | Differentiate:
(0.0K) . |
| | A) | (0.0K) |
| | B) | (0.0K) |
| | C) | (0.0K) |
| | D) | (0.0K) |
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2 | | Differentiate: q (x) = (3x2 - 1)(8 - x3) . |
| | A) | -18x3 |
| | B) | -3x (5x3 - x - 16) |
| | C) | -3x5 + x3 + 24x2 - 8 |
| | D) | 12x4 - 3x3 + 42 |
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3 | | Differentiate:
(0.0K) . |
| | A) | 0 |
| | B) | 1 |
| | C) | (0.0K) |
| | D) | (0.0K) |
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4 | |
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| | A) | (0.0K) |
| | B) | (0.0K)
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| | C) | (0.0K)
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| | D) | (0.0K) |
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5 | | Find the slope of the tangent to the function y = 6x2 - (4/x) when x = 2. |
| | A) | 25 |
| | B) | 24 |
| | C) | 21 |
| | D) | 12 |
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6 | | Find the equation of the tangent to the curve
(0.0K)
at the point (3, 2).
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| | A) | y = x - 1
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| | B) | (0.0K)
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| | C) | (0.0K)
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| | D) | (0.0K) |
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7 | | The position of a particle can be modelled by the function s (t) = 4t3 - 2t2 + 6t - 1 where t = time in seconds and s is measured in metres. How fast was the particle moving after 6 seconds? |
| | A) | 827 m/s |
| | B) | 782 m/s |
| | C) | 699 m/s |
| | D) | 414 m/s |
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8 | | The total cost, C, in dollars, of operating a paper mill is C (p) = 0.4p2 + 50p + 10000 , where p is the number of sheets of paper produced a day, in thousands. Find the marginal cost of producing 10 000 sheets of paper. |
| | A) | $9 540 |
| | B) | $10 540 |
| | C) | $11 540 |
| | D) | $12 540 |
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9 | | A certain electric current, I, in amperes, can be modelled by the equation (0.0K) where R is resistance in ohms. What is the rate of change of the current with respect to resistance when the resistance is 15 Ω? |
| | A) | −0.6 amp/Ω |
| | B) | −0.3 amp/Ω |
| | C) | 0.3 amp/Ω |
| | D) | 0.6 amp/Ω |
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10 | | If f '(x) = 4x2 - 5 , which of the following could be f (x) ? |
| | A) | 5x3 - 5x |
| | B) | 2x3 - 2x |
| | C) | 4x3 - 5x |
| | D) | (4/3)x3 - 5x + 3 |
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