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 of producing 680 cards, disregarding any xed costs. C'(x) = - 0.04x+ 90, 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) = - SH 2, with v(0) = 2 and 8(0) = 3 s2 The area is . (Simplify your answer.) Find the area of the region bounded by the graphs of the given equations. y=2.y=x/;,X=0 The area of the region is |:. (Simplify your answer.) - 1400x 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 = 19,000 when x= $3 per unit. 25-x The demand function is D(x) = Consider the graph to the right. Explain the idea of a critical value. Then determine which x-values are critical values, and state why. ,\\'l X: X 3 ".4 ".1 What is the idea of a critical value? Critical values are the y-values of relative extrema. Critical values are xvalues where relative extrema occur. Critical values are x-values where relative extrema may occur. Critical values are yvalues where relative extrema may occur. Which x-values are critical values? A. x1 , x3, x5, x6, x8, and x10 because relative extrema occur at these points. B. x4 and x7 because a corner exists at these xvalues. C. All x-values are critical values because they all occur at relative extrema or where the slopes of the tangent lines do not exist. D. x1,x3,x4, x5, x6, x7, x8, and x10 because the slopes of the tangent lines at these points are 0 or do not occur