FinalOld - MATH 231, Calculus III, Section 1, Fall 2007...

Info iconThis preview shows pages 1–3. Sign up to view the full content.

View Full Document Right Arrow Icon

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

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

Unformatted text preview: MATH 231, Calculus III, Section 1, Fall 2007 Final Exam Date: Dec. 11, Tuesday Time: 9:00 am 12:00 noon Please write clearly, reduce answers to their simplest form, and box your answers. To receive full credit you must show ALL your work. Student's Name (Please print): __________________________________________ Pledge: On my honor as a student at the University of Virginia I have neither given nor received aid on this test. Signature: _______________________________ Problem Points Score 1 15 2 15 3 20 4 20 5 25 6 25 7 20 8 20 9 10 10 15 11 15 12 25 13 25 14 25 15 25 16 (Bonus) 25 Total 325/300 Problem 1 (15 points) (a) (5 points) For what value(s) of t are a = h t + 2 , t, t i and b = h t- 2 , t + 1 , 1 i orthogonal? (b) (10 points) Consider the surface S given by 2- 2 cos = 3 in spherical coordinates. Convert the equation into an equation in rectangular coordinates and identify (describe) the surface....
View Full Document

Page1 / 12

FinalOld - MATH 231, Calculus III, Section 1, Fall 2007...

This preview shows document pages 1 - 3. Sign up to view the full document.

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