MAT 126 Midterm: MAT 126 SBU Exam 126 1 S06
31 Jan 2019
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Answer each question in the space provided and on the reverse side of the sheets. Unless otherwise indi- cated, answers without justi cation will get little or no partial credit! Cross out anything that grader should ignore and circle or box the nal answer: (a) (10 points) estimate the area under the graph of f (x) = 16 x2 from x = 0 to x = 4 using four rectangles and right endpoints. Is your estimate and underestimate or an overestimate? (b) (10 points) repeat part (a) using left endpoints: (a) (10 points) evaluate integral by interpreting it as area. 25 x2dx (b) (5 points) determine a region whose area is equal to lim n n. Do not evaluate the limit: given two functions f (x) and g(x) which satisfy. 3 f (x)dx = 5, z 5 g(x)dx = 1, z 5. 0 (3f (x) g(x))dx (f (x) + 2g(x))dx.
