Let f(x) = 1 - x 2 . a. Show that the graph of f is the

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Let f(x) = √1 - x².

a. Show that the graph of f is the upper half of a circle of radius 1 centered at the origin.

b. Estimate the area between the graph of f and the x-axis on the interval [-1, 1] using a midpoint Riemann sum with n = 25.

c. Repeat part (b) using n = 75 rectangles.

d. What happens to the midpoint Riemann sums on [-1, 1] as n →∞?

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Calculus Early Transcendentals

ISBN: 978-0321947345

2nd edition

Authors: William L. Briggs, Lyle Cochran, Bernard Gillett

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Question Posted: Mar 05, 2019 12:48 PM

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Let f(x) = 1 - x 2 . a. Show that the graph of f is the

Question:

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a Note that if y 1 x 2 then y 2 1 x 2 so x 2 y 2 1 which represents a circle of ra...View the full answer

Calculus Early Transcendentals

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