MATH 152 Midterm: MATH 152 TAMU 2010a Exam 1b Solutions
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Solutions-form b: d. for f (x) = Now, we want to nd the value of c so that. 4: c. since the graph of y = cos x is above the graph of y = 1, The function y = 2x 6 crosses the x-axis at x = 3. Between x = 0 and x = 3, the graph of y = 0 is above the graph of y = 2x 6. Between x = 3 and x = 4, the graph of y = 2x 6 is above the graph of y = 0. = ( x2 + 6x)(cid:12)(cid:12) (0 (2x 6)) dx +z 4. Note: the enclosed region can also be viewed as the sum of the area of two triangles. The area of the triangle below the x-axis is 9 and the area of the trangle above the x=axis is 1. Hence the sum of these two triangles is 10. (2x 6 0) dx.
