MATH 1071Q Quiz: #Wk.13_Section_6.4

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Section objectives: know how to nd the left-hand and right-hand sums to estimate the area under a curve (by hand, with a small number of rectangles). If f (x) 0, then r b. If f (x) g(x) for a x b, then r b. 1 x2 + 2x dx using n = 4 rectangles and right endpoints. Then use left endpoints with n = 4: find the value of the de nite integral by nding the area of the appropriate geometric shape. 1 x + 2 dx: munir is driving his car with a velocity (in miles per hour) of v(t) = 30t + 2 for. During the second hour: we want to try to get a lower and upper bound on r 1. 1 ex(1 x). (a) first, we want to nd lower and upper bounds on the function f (x) = ex(1 x).

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