1271practicemidterm3F2009

1271practicemidterm3F2009 - Name: Signature: Section: Math...

Info iconThis preview shows pages 1–6. Sign up to view the full content.

View Full Document Right Arrow Icon
Name: Signature: Section: Math 1271. Lecture 030 Practice Midterm Exam III There are a total of 100 points on this 50 minute exam. To get full credit for a problem you must show the details of your work. Answers unsupported by an argument will get little credit. No books, notes, calculators, cell phones or other elecronic devices are allowed. Do all of your calculations on this test paper. Problem Score 1. 2. 3. 4. 5. Total: 1
Background image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Problem 1 Compute the following: a. (5 points) Let F ( x ) = Z x 0 ( K + tan 3 θ ) where K is a constant. Find K if F 0 ( π 4 ) = 2 . b. (5 points) Evaluate the definite integral Z 1 2 0 dx 1 - x 2 . 2
Background image of page 2
c. (5 points) Compute f 0 ( x ) if f ( x ) = Z 5 x 2 - 1 1 sin( t 3 ) dt. d. (5 points) Evaluate lim h 0 (1 + 5 h ) 1 h . 3
Background image of page 3

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Problem 2 (20 points) Find the area of the finite region in the plane bounded by the curve y = - x 2 + x + 2 and the x -axis. 4
Background image of page 4
Problem 3 (20 points) Find the absolute maximum and absolute minimum of f ( x ) = x - sin(2 x ) on the interval [0 , π 4 ] . (Some possibly useful facts: π 3 . 14 , 2 1 . 41 , 3 1 . 73 .) 5
Background image of page 5

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Image of page 6
This is the end of the preview. Sign up to access the rest of the document.

Page1 / 8

1271practicemidterm3F2009 - Name: Signature: Section: Math...

This preview shows document pages 1 - 6. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online