Chapter52008

Calculus: Early Transcendental Functions

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Chapter 5 Test November 17, 2008 Name 1. Why is there so much time pressure for these calculus tests? It seems like there' s never enough time. Below, you will find a table representing a student' s work rate on this calculus test. Use a right - rectangle approximation method to estimate the number of problems the student will finish. Be careful, the sub - intervals are not uniform ! Time H minutes L 0 6 13 21 26 32 39 45 50 Rate i k j j j test problems ÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄ ÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄ minute y { z z z 0.3 0.2 0.1 0.4 0.3 0.1 0.3 0.4 0.5 2. Evaluate - 2 2 i k j j 4 - "############### 4 - x 2 y { z z dx 3. Evaluate 1 2 1 ÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄ ÄÄÄÄÄÄÄÄÄÄÄ 2 x è!!!!!!!!!!!!!!!!! x 2 - 1 dx 4. Find dy ÄÄÄÄÄÄÄÄ dx if y = cos - 1 I x ÄÄÄÄ 2 M cos 2 x H log 2 t L 2 dt

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5. Write the following expression as a definite integral, but do not evaluate the resulting integral : lim n Æ • k = 1 n i k j j j 2 i k j j j p ÄÄÄÄ 6 + 2 p k
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