Math 1250 practice sheet %231 with solutions (1) - Math 1250 Practice sheet#1 x 2 x 14 with n = 3 1 a Estimate the area under the curve f(x =

# Math 1250 practice sheet %231 with solutions (1) -...

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Math 1250 Practice sheet #1 1.a) Estimate the area under the curve f(x) = x, 2 x 14, with n = 3 rectangles, taking the height of the rectangles to be f evaluated at the right endpoint of each interval. Sketch the corresponding rectangles on the graph. Width of each rectangle = Δx = _____________ sum of areas = _________ b) repeat with n = 6 rectangles. Width of each rectangle = Δx = _____________ sum of areas = ________ 2. The graph of f(x) = x 2 + 4 is given. Math 1250 practice sheet #1 page 1 of 4 i = index numb er x i = right end point of i th interval f(x i ) = height of i th rectangle f ( x i )⋅ Δx = area of i it rectangle 1 2 3 i = index numb er x i = right end point of i th rectangle f(x i ) = height of i th rectangle f ( x i )⋅ Δx = area of i it rectangle 1 2 3 4 5 6
Estimate the area under f(x) and between x = 3 and x = 6 using n = 5 rectangles.Use the right endpoint of each interval to find the height of the rectangles. Sketch the associated rectangles.