1.) Find the area bounded by the regions given by the graphs of y 3x2-10x and y x2+2x. Make sure you know how to find the intersection of the two graphs using algebra. (ans: 24) 2.) Find the area of the region in the first quadrant bounded by the lines y 8x, x 1,y and the curve y (ans: 5/a) .) Use the disk or washer method to setup a definite integral (do not integrate) for the region bounded by the following functions: ys 5-х, y-0 , y-4 ,X-0 about the y-axis. Show the representative rectangle within the region at hand. (ans: Use the same region as in problem#3. Revolve the region about the line y-4. Use Shell method to setup the integral (do not evaluate). Make sure to include the enresentative rectangle within the region at hand. (ans: )

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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1.) Find the area bounded by the regions given by the graphs of y 3x2-10x and
y x2+2x. Make sure you know how to find the intersection of the two graphs using
algebra. (ans: 24)
2.) Find the area of the region in the first quadrant bounded by the lines y 8x, x 1,y
and the curve y
(ans: 5/a)
.) Use the disk or washer method to setup a definite integral (do not integrate) for the region
bounded by the following functions: ys 5-х, y-0 , y-4 ,X-0
about the y-axis. Show the representative rectangle within the region at hand. (ans:
Use the same region as in problem#3. Revolve the region about the line y-4.
Use Shell method to setup the integral (do not evaluate). Make sure to include the
enresentative rectangle within the region at hand. (ans: )
Transcribed Image Text:1.) Find the area bounded by the regions given by the graphs of y 3x2-10x and y x2+2x. Make sure you know how to find the intersection of the two graphs using algebra. (ans: 24) 2.) Find the area of the region in the first quadrant bounded by the lines y 8x, x 1,y and the curve y (ans: 5/a) .) Use the disk or washer method to setup a definite integral (do not integrate) for the region bounded by the following functions: ys 5-х, y-0 , y-4 ,X-0 about the y-axis. Show the representative rectangle within the region at hand. (ans: Use the same region as in problem#3. Revolve the region about the line y-4. Use Shell method to setup the integral (do not evaluate). Make sure to include the enresentative rectangle within the region at hand. (ans: )
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