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Techniques - Calculus - Exam

Exams, Calculus

Post: March 6th, 2013
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These are the Exam of Calculus which includes Worst, Wedding Cake, Volume of Cylinder, Very Cold Freezer etc. Key important points are: Techniques, Derivatives, Valid Techniques, Enough Steps, Clear, Integral, Interpret, Geometry, Compute, Signed Area
These are the Exam of Calculus which includes Worst, Wedding Cake, Volume of Cylinder, Very Cold Freezer etc. Key important points are: Techniques, Derivatives, Valid Techniques, Enough Steps, Clear, Integral, Interpret, Geometry, Compute, Signed Area
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MATH 105 FINAL EXAM Name: April 13, 2010 Your grade is based on correctness, completeness, and clarity on each exercise. You may use a calculator, but no notes, books, or other students. Good luck! 1.) (15 pts.) Compute the following derivatives, using any valid techniques you like. (Be sure to show enough steps so that it is clear which techniques you are using.) a.) (5 pts.) f (x) = √ π + ex tan x b.) (5 pts.) p(t) = 1 1 + t 1 + t2 c.) (5 pts.) y = xcos x 1 2 2.) (15 pts.) Consider the integral −1 (−x + 1) dx. a.) (5 pts.) Interpret the integral as “area under a curve”. Draw the graph with area shaded in, and use geometry to compute the signed area. b.) (5 pts.) Evaluate the integral using the Fundamental Theorem of Calculus. c.) (5 pts.) Are your answers the same or different? Explain why your answers should, or should not, be the same. 2 2 3.) (15 pts.) Consider the integral 1 1 dx. x2 a.) (5 pts.) Approximate the area under the curve using the a tra..

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