mth_251_simonds_final_exam_200801

mth_251_simonds_final_exam_200801 - Mr. Simonds' MTH 251...

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Mr. Simonds’ MTH 251 – Final Exam Page 1 of 10 MTH 251 – Winter Term 2008 Final Exam – Given March 19 Name 1. Write each derivative in the provided blank. Please do all of your scratch work on the provided scratch paper and write only you final answer in the blank . Please completely simplify each derivative formula. a. Find () cos 2 d x dx . a. b. Find tan 4 x d dx ⎛⎞ ⎜⎟ ⎝⎠ . b. c. Find 2 7 4 d x dx x . c. d. Find 2s i n d x x dx . d. e. Find 9 ln d x dx . e. f. Find ln 9 d dx . f. g. Find ln x d dx x . g. h. Find x d e dx . h. i. Find sec d x dx . i.
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Mr. Simonds’ MTH 251 – Final Exam Page 2 of 10 2. A pop tart is tossed into the air from the top of a building on planet Xenon. The height above the ground (ft) of the pop tart t seconds after it is tossed is given by the function () 2 10 50 240 ht t t =− + + . Use calculus to determine the highest elevation reached by the pop tart. Make sure that your reasoning is clear. 3. Find the equation of the tangent line to the curve 2 2 43 t y t + = at the point where 1 t = . Make sure that both your reasoning and your conclusion are clear.
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Mr. Simonds’ MTH 251 – Final Exam Page 3 of 10 4.
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mth_251_simonds_final_exam_200801 - Mr. Simonds' MTH 251...

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