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

Calculus

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
Showing pages  1  -  2  of  6
MATH 105 FINAL EXAM April 13, 2010
Name:
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
t+1
1 + t2
c.) (5 pts.) y=xcos x
1
2.) (15 pts.) Consider the integral Z2
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
The preview of this document ends here! Please or to read the full document or to download it.
Document information
Uploaded by: gauravv
Views: 828
Downloads : 0
Address: Mathematics
University: Jaypee University of Engineering & Technology
Subject: Calculus
Upload date: 06/03/2013
Embed this document:
Docsity is not optimized for the browser you're using. In order to have a better experience please switch to Google Chrome, Firefox, Internet Explorer 9+ or Safari! Download Google Chrome