final_01_Spring

final_01_Spring - Math 100 - Introduction to Multivariable...

Info iconThis preview shows pages 1–2. 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 100 - Introduction to Multivariable Calculus FINAL EXAMINATION Spring Semester, 2001 Time Allowed: 2 Hours. Total Marks: 100 Student Name: Student Number: 1. (20 marks) Show that for any continuous function f ( x,y ), Z a Z x f ( x,y ) dy ¶ dx = Z a Z a y f ( x,y ) dx ¶ dy. 2. (15 marks) Find the angle α , which is formed by the x-axis and the ray as in the following figure, such that the two shaded regions have the same area. Here the two circles are C 1 : x 2 + y 2 = 4 and C 2 : x 2 + ( y- 1) 2 = 1. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ............................................. . . . . . . . . . . . . . . . . . . . . . . . . . . . ........... . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ............ . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ....
View Full Document

This note was uploaded on 09/30/2010 for the course MATH 100 taught by Professor Qt during the Fall '09 term at HKUST.

Page1 / 5

final_01_Spring - Math 100 - Introduction to Multivariable...

This preview shows document pages 1 - 2. Sign up to view the full document.

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