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1 | | Which of the following could be the graph of y = (3)x ? |
| | A) | (36.0K)
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| | B) | (36.0K)
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| | C) | (36.0K)
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| | D) | (36.0K)
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2 | |
If f (x) = 10x , what would the value of | (0.0K) | be? |
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| | A) | 1 |
| | B) | ln(10) |
| | C) | x/10 |
| | D) | x |
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3 | | Evaluate ln(0.25) to 3 decimal places. |
| | A) | −1.386 |
| | B) | −0.25 |
| | C) | 0.25 |
| | D) | 1.386 |
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4 | | Solve - 25 = - 10ex , rounding to 2 decimal places. |
| | A) | 2.50 |
| | B) | 1.82 |
| | C) | 0.92 |
| | D) | There is no solution. |
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5 | |
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| | A) | (0.0K) |
| | B) | (0.0K) |
| | C) | (0.0K) |
| | D) | (0.0K) |
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6 | | Find the equation of the line tangent to the curve y = e3 ln x at x = e2 |
| | A) | y = ex - e2 |
| | B) | y = ex - e3 |
| | C) | y = ex + e3 |
| | D) | y = e2x + e3 |
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7 | | What are the local maxima, if any, of y = e-x2 ? |
| | A) | (0, 1) |
| | B) | (−1, 1) and (1, 1) |
| | C) | (−1, e) and (1, e) |
| | D) | There are no local maxima. |
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8 | | The value of an investment is modelled by the equation V (t) = V0e0.05t , where V0 is the initial value and t is time in years. At what rate would an initial investment of $2500 be growing after 40 years? |
| | A) | $18 472.60 |
| | B) | $2500.00/yr |
| | C) | $923.63/yr |
| | D) | $45.23/yr |
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9 | | A 10.0-mg radioactive sample of kryptonite decays to 8.5 mg after one day. What is the disintegration constant for kryptonite to three decimal places? |
| | A) | 0.850 |
| | B) | 0.452 |
| | C) | 0.163 |
| | D) | 0.016 |
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10 | | The population of a species of bacteria (in thousands) can be modelled by P (t) = e-0.03t sin(2t) + 6 , where t is time in hours from the beginning of the experiment. After how many hours does the population reach its minimum? |
| | A) | 0.78 h |
| | B) | 2.35 h |
| | C) | 5.49 h |
| | D) | 52.61 h |
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