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Quiz 8 Math 142 Fall 2011 Help is legal. 3x f (x) 4 x 2 x 16 1. x 2 2 x 4 4 x 6 Evaluate f ( x ) dx 2 Show your work. Graph f(x) and use geometry. Print Name___________________________ Section_________________________ 2. a) Find L 6 and R 6 and L6 R 6 for f ( x ) 4 x on the interval [1, 4 ]. b 2 2 Sketch the rectangles for each of the left and right hand sums. lim L n lim R n 4 x dx n n 4 b) Find 2 1 . 3 3. Evaluate by hand and showing all work x x 16 dx 2 . 0 4. A marginal cost function is given by first 100 units is $3500. a) Find the cost function. C ' ( x ) 0 . 02 x 15 . The total cost of producing the b) Find the average value of the total cost over the interval [0, 100]. c) Find the average cost per unit for the first 100 units.