MATH 220 Final: MATH 220 KSU Final Exam f13t4

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Please make sure that your cell phone is turned o . You will have 110 minutes to complete the exam. 16: (6 points each) evaluate the following limits. page 1 of 8, lim x 2 x3 4x x 2, lim h 0 tan h. 3x3 + 4x2 : (8 points) use the de nition of derivative as a limit to nd f (x) for f (x) = x2, (8 points each) compute the following derivatives. Just give the x-coordinates: (3 points each) the graph of y = f (x) is given below. page 4 of 8. The horizontal axis is time measured in seconds, and the vertical axis is velocity in m/sec. Also, make a sketch of the graph of y = x and illustrate the rectangles on your graph. (leave your answer as a sum. 6: (8 points each) evaluate the following integrals, z sin x cos x dx page 6 of 8, z 1 x sec2(7x) +