Chapter52006

Calculus: Early Transcendental Functions

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Chapter 5 Test November 13, 2006 Name 1. Working to get community service hours on his resume, your friend Sammy decides to volunteer at the Santa Clara County Office of Government, counting votes until midnight on election day H see chart below L . Approximate the number of votes that Sammy counted, using left - hand rectangles H be careful, not all time intervals are uniform L . Time H hours L 1 2 4 6 7 8 10 12 Rate i k j j j votes ÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄ hour y { z z z 55 53 50 33 45 50 40 34 2. Evaluate - 3 2 H 5 - » x + 1 »L dx 3. Evaluate 0 1 H x 2 + 1 L 2 dx 4. Find dy ÄÄÄÄÄÄÄÄ dx if y = sin - 1 H x 2 L 3 csc H 2t L dt
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5. Write the following expression as a definite integral, but do not evaluate it : lim n Æ• k = 1 n i k j j j j j i k j j j 1 + 2k ÄÄÄÄÄÄÄÄ n y { z z z 2 - 3 i k j j j 2 + 4k ÄÄÄÄÄÄÄÄ n y { z z z + 1 y { z z z z z i k j j j 6 ÄÄÄÄÄ n y { z z z 6. For the following function, at what point H s L on the interval does the function assume its average value? f H x L = x 2
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Chapter52006 - Chapter 5 Test November 13, 2006 Name 1....

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