MAT-1120 Midterm: MATH 1120 App State Spring2014 Test2
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Be sure to show your work! (a) consider i = z 6. Write down the midpoint approximation for i if n = 3 (i. e. m3). [don"t worry about simplifying. ] (b) let i = z. 2 e x2/4 dx. (the graph of y = e x2/4 is decreasing and concave down on [0, 2]. ) 2 + cos(t) t2 dt: (12 points) consider a pyramid with height 5 and square base which is 10 by 10. (a) slice the pyramid horizontally. [don"t worry about evaluating this integral. : (14 points) consider the region bounded by y = x2 and y = 2x. Write down an integral which computes the volume of the solid obtained by rotating this region about. (a) . the axis y = 3. [don"t worry about evaluating this integral. : (10 points) set up the integral which computes the arc length of y = ln(x) when 1 x 15.
