Related_Rates_HW - Related Rates HW For #1-2, assume that x...

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Related Rates HW For #1-2, assume that x and y are BOTH differentiable functions of t. Find the required values of dt dy and dt dx . 1) x x y 3 2 - = (a) Given 2 = dt dx , find 3 = x when dt dy . (b) Given 5 = dt dy , find 1 = x when dt dx . 2) 4 = xy (a) Given 10 = dt dx , find 8 = x when dt dy . (b) Given 6 - = dt dy , find 1 = x when dt dx . 3) A point is moving along the graph of the function x y tan = such that dt dx is 2 centimeters per second. Find dt dy for the specified values of x. (a) 3 π - = x (b) 4 - = x (c) 0 = x (d) 1 = x In #4-5, using the graph shown, (a) determine whether dt dy increases or decreases for increasing x and constant dt dx ; (b) determine whether dt dx increases or decreases for increasing y and constant dt dy . 4) 5)
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6) The radius of a circle is increasing at a rate of 2 centimeters per minute. Find the rate of change of the area when (a) r = 6 centimeters and (b) r = 24 centimeters. 7)
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Related_Rates_HW - Related Rates HW For #1-2, assume that x...

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