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Solve 6,7 ,8 ,9 ,10 ans 11 in 20 minutes as soon as possible I'lnG lllt' dl Cd :1 ILIUDbu u, c. n. e... .

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Solve 6,7 ,8 ,9 ,10 ans 11 in 20 minutes as soon as possible

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I'lnG lllt' dl Cd :1 ILIUDbu u, c. n. e... . c , - - MM - _ 2 _ 2 Find the volume of the solid obtained by rotating the region bounded by the curves y a: and a: y about the line y = 1. Sketch the region. Exercise 7: The base of a solid is a circle 332 + y2 = 9. Parallel cross - sections perpendicular to the base are squares. Find the volume of the solid. Exercise 8: Using the method of cylindrical shells, nd the volume generated by rotating the region bounded by the curves y : 4:1: 11:2, y = 3 aboutthe linex= -1. Exercise 9: Atank has the shape of an inverted circular cone with base radius 4 m and height 12 m. lt's lled with water to a height of 8 m. Find the work required to empty the tank by pumping all of the water to the top of the tank. (The water mass density is 1000 kg/m3 .) Exercise 10: a) Find the average value of f(x) = 2X(1-x) on the interval [0, 1]. b) Find c such that f(c) = fave. Exercise 11: Use the Substitution Method to evaluate the following integral: L11 4:133Va34 + ldacdx

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