Exam 3 (b) - By Eq. , we have . This, together with Eq. ,...

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MATH 1300.03F D Exam 3 Wednesday, December, 1 1999 NAME: Student Number: No. Marks (5 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: (1). We draw the following figure. (2). Hypotheses: x '( t )=3, | AB |=5 and . 3. Question: Find y '( t ) when y ( t )=3. Solution: By the above figure, we have Taking the derivative of Eq. relative to t , we have This implies
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Unformatted text preview: By Eq. , we have . This, together with Eq. , implies When y ( t )=3, we have . (5 Marks) Sketch the rough graph of the area given by each of the following definite integrals. Use this graph to determine the value of the definite integral. ( a ) . Solution: and . It follows that ( b ) , where Solution: and Hence, we have . (5 Marks) Find the area of the region enclosed between the graphs of the functions Solution: Let . Then . Hence, x =-2, x =0 and x =2. Hence, the area of the region =| A |+| B |=4+4=8. Kunquan Lan Wed Dec 1 13:53:22 EST 1999...
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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.

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Exam 3 (b) - By Eq. , we have . This, together with Eq. ,...

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