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A note card company has found that the marginal cost per card of producing x note cards is given by the function below, where C'(x)
A note card company has found that the marginal cost per card of producing x note cards is given by the function below, where C'(x) is the marginal cost, in cents, per card. Find the total cost 0' producing 760 cards, disregarding any xed costs. C'(x) = - 0.06x+ 77, for X5 1000 The total cost is cents Find s(t), where s(t) represents the position function, v(t) represents the velocity function, and a(t) represents the acceleration function. a(t) = 6t + 8, with v(O) = 5 and 3(0) = 9 s(t) Find the area under the graph offover the interval [- 1,3]. 2 x51 f(x)= x +1 2x x>1 The area is . (Simplify your answer.) Find the area of the region bounded by the graphs of the given equations. y=s,y=;,x=o The area of the region is . (Simplify your answer.) - 1600x Arm has the marginal-demand function D'(x) = 2, where D(x) is the number of units sold at x dollars per unit. Find the demand function given that D = 15,000 when x= $4 per unit. 25-x The demand function is D(x) =
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