A cross-section of an airplane wing is shown. Measurements ofthe wing, in centimeter, at 19-sentimeter intervals are 6.3, 20.6,26.9, 29.0, 27.2, 26.8, 23.8, 20.3, 16.2, 8.2, 3.1. Use themidpoint rule with n = 5 to estimate the area of the wing'scross-section if a = 190. (Assume the thickness of the edges if0).
______ cm^2.
A cross-section of an airplane wing is shown. Measurements ofthe wing, in centimeter, at 19-sentimeter intervals are 6.3, 20.6,26.9, 29.0, 27.2, 26.8, 23.8, 20.3, 16.2, 8.2, 3.1. Use themidpoint rule with n = 5 to estimate the area of the wing'scross-section if a = 190. (Assume the thickness of the edges if0).
______ cm^2.
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I need help solving some problems including area bounded by aregion and volume by cylindrical shells.
1) y = 3/x
y=12x
y=1/12x
x>0
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y=4-(1/2x)
y=0
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x = 4sqrt(5y)
x=0
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4)Find the volume V of the solid obtained by rotatingthe region bounded by the given curves about the specifiedline.
y = ln3x
y =4
y =5
x = 0
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5)
Find the volume V of the solid obtained by rotating theregion bounded by the given curves about the specified line.
y =3x5
y =3x
x ââ°Â¥ 0
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6)
Find the volume V of the solid obtained by rotating theregion bounded by the given curves about the specifiedline.
x = 2y
7)A CAT scan produces equally spaced cross-sectional views of ahuman organ that provide information about the organ otherwiseobtained only by surgery. Suppose that a CAT scan of a human livershows cross-sections spaced 1.5 cm apart. The liver is 15 cm longand the cross-sectional areas, in square centimeters, are 0,17, 58, 79,95, 107, 118, 129, 64, 39,and 0. Use the Midpoint Rule with n = 5 to estimate thevolume V of the liver.
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Let S be the solid obtained by rotating the region shown inthe figure about the y-axis. (Assume a = 7 and b = 2.)
y=ax(x-b)^2
What are its circumference c and height h?
Use shells to find the volume V of S.
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y=asin(bx^2)
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