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Tutorial 11 Solutions.pdf - Question 1 If V is the volume...

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Question 1 IfVis the volume of a cube with edge lengthxand the cube expands as time passes, finddVdtin terms of dx dt
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Rajeev MaharajMATH130 Tutorial 11
Question 5 A cylindrical tank with radius 5 m is being filled with water at a rate of 3 m3 /min. How fast is the height of the water increasing?
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Rajeev MaharajMATH130 Tutorial 11
Question 11 Ifx2+y2+z2 = 9,dx/dt= 5, anddy/dt= 4, finddz/dtwhen (x,y,z) = (2,2,1).
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Rajeev MaharajMATH130 Tutorial 11
Question 45 A plane flies horizontally at an altitude of 5 km and passes directly over a tracking telescope on the ground. When the angle of elevation isπ/3, this angle is decreasing at a rate ofπ/6 rad/min. How fast is the plane traveling at that time?
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