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Use the Power Rule to compute the derivative. (Use symbolic notation and fractions where needed.) Use the Power Rule to compute the derivative. (Use symbolic

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Use the Power Rule to compute the derivative. (Use symbolic notation and fractions where needed.) Use the Power Rule to compute the derivative. (Use symbolic notation and fractions where needed.) Compute f ' and nd an equation of the tangent line to the graph at x = :1. f(x) = f3, a = 5. (Use symbolic notation and fractions where needed. Let y = f (x) and express equation in terms of x and y.) Let f (x) = 26/37:. Compute f ' (64) and nd an equation of the tangent line to the graph at x = 64. (Use symbolic notation and fractions where needed. Let y = f (x) and express equation in terms of x and y.) f'(64)= l equation: Find the equation of the tangent line to y = 3e" at x = 7. (Use symbolic notation and fractions where needed.) Calculate the derivative of the function P (V) = = at V = -2. (Use symbolic notation and fractions where needed.) dP = dV v=-2Calculate the derivative of the function R (W) = 2W4\" at W = 7. (Use symbolic notation and fractions Where needed.) dR ' Ii dWW7 Find the points on the graph of f (x) = 36x 33:3 where the tangent line is horizontal. (Use symbolic notation and fractions where needed. Give your answer as a comma separated list or ordered pairs in the form (13*), (*,*), (*,*)---) Find all values of x where tangent lines to y = x6 and y = x7 are parallel. (Give your answer in the form of a comma separated list. Use symbolic notation and fractions where needed.) Determine a and b such that p(x) =x2 +ax+b satises p(1) = 0 and p' (1) = 5. (Give an exact answer. Use symbolic notation and fractions where needed.) The average speed of a gas molecule in meters per second is uayg = % , where the temperature T is given in kelvins, the molar mass M is given in kilogrammoles, and R = 8.31. :1 Calculate 5;"; at T = 350 K for krypton, which has a molar mass of 0.0838 kg/mol. (Use decimal notation. Give your answer to four decimal places.) d mm

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