Chapter52005

# Calculus: Early Transcendental Functions

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Chapter 5 Test November 14, 2005 Name 1. You went trick or treating 2 weeks ago. Your friend Nimrod dares you to eat as many M & M ± sa s you possibly can in 30 seconds. Foolishly, you take him up on the dare, as evidenced by the chart below. Approximate the number of M & M ± s you ate, by using trapezoids . Be careful, the time intervals are not uniform. Time H seconds L 0 6 11 17 21 25 30 Velocity J M& M ± s cccccccccccccccccc second N 66 4 305 7 H burp ! L 2. Evaluate 2 5 Q 1 cccc 2 x U dx H where P x T is the greatest integer, or step, function L 3. Evaluate 0 1 H x 2 + 2x LH + 1 L dx 4. Find dy cccccc dx if y = H ln 2 L 2 x x tan 1 td t

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5. Write the following expression as a definite integral, but do not evaluate it : lim n →∞ k = 1 n i k j j log 5 i k j j π cccc 3 + 7 π cccccccc 6n k y { z z + i k j j π cccc 6 + 7 π cccccccccc 12 n k y { z z y { z z i k j j 7 π ccccccc 6 n y { 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 = è!!!!!!!!!!!!!!
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Chapter52005 - Chapter 5 Test 1 You went trick or treating...

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