Techniques - Calculus - Exam, Exams for Calculus. Jaypee University of Engineering & Technology


Description: 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 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+extan x
b.) (5 pts.) p(t) = 1
1 + t2
c.) (5 pts.) y=xcos x
2.) (15 pts.) Consider the integral Z2
(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.
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Address: Mathematics
University: Jaypee University of Engineering & Technology
Subject: Calculus
Upload date: 06/03/2013
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