MATH 220 Midterm: MATH 220 KSU Test 3f06
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You may use a calculator, but no books or notes. (10 pts. ) 30 x 3 points. dx using 4 rectangles and right end- (6 pts. ) Evaluate the inde nite integral z x5 x + 6 x2 dx. The cost, in dollars, of producing x items is c = 14400 + 100x + x2. The price is described by the demand function p = 500 x. (a) give the equation for the average cost per item, and minimize the average cost. Page 3 of 6 (b) give equations for the revenue and the pro t, and maximize the pro t. (8 pts. ) 1 sin(t2) dt, nd the second derivative f (x). While driving his car, fred coasts onto an entrance ramp for the highway. He then begins to accelerate, and travels the length of the 300 foot ramp in 6 seconds. Assume that fred"s acceleration after t seconds satis es a = 4t feet/ sec2.