MATH 210 Midterm: MATH 210 KSU Test 2f98
15 Feb 2019
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You must show all relevant work to receive full credit. The point value of each problem is shown in the left hand margin. (10) 1. Find f (a) and f (2a), if f (x) = ax2. A certain object, after being heated, cools at such a rate that its tempera- ture t (in degrees celsius) decreases 10% each minute. If the object is originally heated to 100oc nd lim t 10. T , where t is the time (in minutes). Find the average rate of change of y = 1 2x2 with respect to x from. Then compare this with the instantaneous rate of change of y with respect to x at p by nding mtan at p . (10) 4. Find the derivative of y = x2 the derivative at the point ( 2, 5). The value in dollars of a certain car is given by the function v = 6000 t+1 , where t is measured in years.
