Exam 1 - MATH 1014.03MW Exam 1 Monday, January, 24 2000...

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

View Full Document Right Arrow Icon
MATH 1014.03MW Exam 1 Monday, January, 24 2000 NAME: Student Number: No. Marks Instructions : This exam contains 4 questions and has a total of 100 marks. Show all of your work. (30 Marks)A 5 meters long ladder is leaning against a building. The bottom of the ladder is dragged along the ground, away from the building, at 3 meters per minute. How fast is the top of the ladder moving down the side of the building when it is 3 meters above the ground? Solution ( i ). We draw the following figure. ( ii ). Hypotheses: x '( t )=3, | AB |=5 and . ( iii ). Question: Find y '( t ) when y ( t )=3. ( Method 1 ) By the above figure, we have Taking the derivative of Eq. relative to t , we have This implies
Background image of page 1

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

View Full DocumentRight Arrow Icon
By Eq. , we have . This, together with Eq. , implies When x '( t )=3 and y ( t )=3, we have . ( Method 2 ) By the above figure, we have This implies Taking the derivative of Eq. relative to t , we have By Eq. , we have . This, together with Eq. , implies When x '( t )=3 and y ( t )=3, we have . ( Method 3
Background image of page 2
Image of page 3
This is the end of the preview. Sign up to access the rest of the document.

This note was uploaded on 12/16/2009 for the course MATH 1014 taught by Professor Ganong during the Fall '09 term at York University.

Page1 / 5

Exam 1 - MATH 1014.03MW Exam 1 Monday, January, 24 2000...

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