MA 125 Midterm: Cal_1_test_4 Fall 2015
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Show all your work and justify your answer! No partial credit will be given for the answer only! 2: evaluate z x3 + 1 x4 + 4x dx, solve e3x+2 = 9, solve ln(2x + 1) = 2. 3: use newton"s method to approximate the value of 101. Start with x1 = 10 and only compute the second approximate value x2: given f (x) = x5 + 2x + 1 show rst that f (x) is one-to-one and next compute the derivative (f 1) (1) Part ii: [8 points] comment on the following solution. Explain each of the steps and comment if they are correct. Indicate in the graph how you found your values; do not use your calculator to nd these values! y f (x) = ln(x) x. 6: [16 points] graph the function f (x) = x2 ln(x) for x > 0. Indicate in the graph: (a) x- and y-intercepts (b) horizontal and vertical asymptotes (if any).
