MATH 110 Midterm: Math 110 Exam 3 V2
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This test is a closed-book test; you are allowed to use a calculator but you have to show all work. Be sure to look at all problems before deciding which to do rst. Note that some problems are easier than others. You may use the backs of the pages if you need additional space. Be sure to show your work: (30 points) (a) given that f (x) = 2x(3 x)4. On which open intervals is f concave upward/ concave downward? (b) given that f (x) = x3 relative extrema. Use the second derivative test, to locate all its: (30 points) (a) find dy dx for the following: (i) y = e3x+x. 4 (ii) y = 3x + x2 ln x (b) solve the following for x: (i) ln(3x + 2) = 1 (ii) 3e3x. 1 = 5: (30 points) evaluate the following inde nite integrals (a)
