Let f(x) = 1 - x 2 . a. Show that the graph of f is the
Question:
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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Step by Step Answer:
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
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Related Book For 
Calculus Early Transcendentals
ISBN: 978-0321947345
2nd edition
Authors: William L. Briggs, Lyle Cochran, Bernard Gillett
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