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Approximate the area under the curve y = :53 from a: = 0 to a: = 2 using a Right Endpoint approximation with 4 subdivisions.

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Approximate the area under the curve y = :53 from a: = 0 to a: = 2 using a Right Endpoint approximation with 4 subdivisions. [:1 Approximate the area under the curve graphed below from a: = 1 to a: = 6 using a Left Endpoint approximation with 5 subdivisions. In order to approximate the area under f (m) = 3\"2 from a: = 4 to a: = 20 using 20 rectangles and the left endpoint method, what values should be used for Ax, 931-, f(m,-), c, and d in the Riemann sum 1 Z f(m)Aa;? 1'2: Hint: for c and d, we want to think about the indices that we use to describe our x's. Check out formulas 2 and 3 on p. 262 of your text. How do we index (number) the x's in each formula? What's the first and last index? That tells you your c and d value. In order to approximate the area under f(:v) = cos(2a:) + 9 from .71: = 5 to a: = 12 using 7 rectangles and the right endpoint method, what values should be used for Am, 931-, f(:n.;), c, and din the Riemann .1 sum 2 an-)Aw? 1'2: 15-16 - Use Definition 2 to find an expression for the area under the graph of f as a limit. Do not evaluate the limit. 2x 15. f(x) = x2 + 1' 16. f(x) = x2 + V1 + 2x, 45x57

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