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paper6 - y-axis and the ball as being obtained by revolving...

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MAT126, Paper Homework 6 1. A spherical ball of radius 2” is placed in a bowl in the shape of a half-sphere of radius 4”. If the bowl is filled with water to a depth of 3”, calculate the volume of water needed. Hint: Think of the bowl as being described by rotating part of the circle x 2 + ( y - 4) 2 = 16 around the
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Unformatted text preview: y-axis, and the ball as being obtained by revolving the circle x 2 + ( y-2) 2 = 4 around the y-axis. 2. Write an integral that represents the length of the curve y = sin( x ) for 0 ≤ x ≤ π . Use Simpson’s rule with n = 4 to approximate the value of the integral, correct to 3 decimal places....
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