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Unformatted text preview: dy dt = ky, where t is the time in days. (a) If y is 1 when t = 0 and y is 5 when t = 2, ±nd k . (b) Using the value of k from (a), ±nd y when t = 3. 5. True or false? Give a reason for each answer. a) e log 2 x = O ( x ) . b) tanh x = o ( √ x ). c) If f = o ( g ), g = o ( h ), then fg = o ( h ). 6. Evaluate the following. a) sin(tan − 1 x ) . b) sin(sec − 1 ( x/ 6). 1 7. Evaluate the following: [28] (a) Z x √ − 3 + 4 x 2 − x 4 dx (b) Z √ 2 dx x 4 + 3 x 2 + 2 (c) Z 1 + tan 2 x 1 − tan 2 x dx (d) Z dx 5 x p ln(3 x ) dx 2...
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 Fall '07
 BERMAN
 Math, Continuous function, Inverse function, Injective function

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