1/ Find the area of the region enclosed between the curves y= 2x2+10 and y=4x+16 and ,x=-2 and x=5? ans/ 142/3

Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter65: Achievement Review—section Six
Section: Chapter Questions
Problem 33AR: Compute the cross-sectional area of the grooved block shown. Round the answer to 1 decimal place.
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1/ Find the area of the region enclosed between the curves y= 2x2+10 and
y=4x+16 and ,x=-2 and x=5?
ans/ 142/3
2/ determine the area of the region enclosed between the curves x=y.3
and y=x-1?
ans/ 18
3/ Find the area of the region enclosed between the curves y= x and x= y?
ans/
1/2
4/ Find the area of the region enclosed between the curves y= cos 2x,
y=0, x=TT/4, x= TT/2 ?
ans/ 1/2
5/ Find the volume of the solid generated by revolving the area
enclosed by y= x², y-0, x-1 about 1) y-axis
2) x=1 3)y=1
ans/ 1) v=TT/2
2) v= TT/6
3) 7T/ 15
6/ use cylindrical shell to find the volume of the solid generated when the
region under 2y=x+4, y=x, x=0 is revolving about 1)y- axis 2) x=4?
ans/ 1) 32 TT/3
2) 64 TT/3
Transcribed Image Text:1/ Find the area of the region enclosed between the curves y= 2x2+10 and y=4x+16 and ,x=-2 and x=5? ans/ 142/3 2/ determine the area of the region enclosed between the curves x=y.3 and y=x-1? ans/ 18 3/ Find the area of the region enclosed between the curves y= x and x= y? ans/ 1/2 4/ Find the area of the region enclosed between the curves y= cos 2x, y=0, x=TT/4, x= TT/2 ? ans/ 1/2 5/ Find the volume of the solid generated by revolving the area enclosed by y= x², y-0, x-1 about 1) y-axis 2) x=1 3)y=1 ans/ 1) v=TT/2 2) v= TT/6 3) 7T/ 15 6/ use cylindrical shell to find the volume of the solid generated when the region under 2y=x+4, y=x, x=0 is revolving about 1)y- axis 2) x=4? ans/ 1) 32 TT/3 2) 64 TT/3
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