Question: Exercise 4.6.2 Find the second derivative Of the function. (b) f (x) = x2e2r Exercise 4.6.5 Find the value ofa so that the tangent

Exercise 4.6.2 Find the second derivative Of the function. (b) f (x)

Exercise 4.6.2 Find the second derivative Of the function. (b) f (x) = x2e2r Exercise 4.6.5 Find the value ofa so that the tangent line to y = In(x) at x a is a line through the origin. Sketch the resulting situation. Exercise 4.6.7 The unit selling price p (in dollars) and the quantity x demanded (in pairs) ofa certain brand of women 's gloves is given by The demand equation p = I Ooe o 20,000 (a) Find the revenue function R (Hint: R(x) = px). (b) Find the marginal revenue function R. (c) What is the marginal revenue when x = 10? Exercise 4.6.9 The price ofa certain commodity in dollars per unit time (measured in weeks) is given by (a) What is the price of the commodity at t = O? (b) How fast is the price of the commodity changing at t O? (c) Find the equilibrium price of the commodity (Hint: It's given by lim p. lim te Also use the fact that

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