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Exercise 5: The equation for the unit circle is x? + y? = 1. (a) Solve for y (assuming y is non-negative, so we get a function). (b) Sketch the function found in part (a). (c) Express the area of a semicircle as an integral, using this function. Last modified: January 8, 2020, Due: January 15, 2019. MATH 15200, SECTION 13 (d) For this function, write down the expression for the (maximal) lower sum of a regular partition of size n wheren is even. (e) Using your knowledge of the area of a circle, write down a sum that tends to T as n gets large. Remark: This gives a method for approximating 7.

Exercise 5: The equation for the unit circle is x? + y? = 1. (a) Solve for y (assuming y is non-negative, so we get a function). (b) Sketch the function found in part (a). (c) Express the area of a semicircle as an integral, using this function. Last modified: January 8, 2020, Due: January 15, 2019. MATH 15200, SECTION 13 (d) For this function, write down the expression for the (maximal) lower sum of a regular partition of size n wheren is even. (e) Using your knowledge of the area of a circle, write down a sum that tends to T as n gets large. Remark: This gives a method for approximating 7.

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Exercise 5: The equation for the unit circle is x? + y? = 1. (a) Solve for y (assuming y is non-negative, so we get a function). (b) Sketch the function found in part (a). (c) Express the area of a semicircle as an integral, using this function. Last modified: January 8, 2020, Due: January 15, 2019. MATH 15200, SECTION 13 (d) For this function, write down the expression for the (maximal) lower sum of a regular partition of size n wheren is even. (e) Using your knowledge of the area of a circle, write down a sum that tends to T as n gets large. Remark: This gives a method for approximating 7.
Transcribed Image Text:Exercise 5: The equation for the unit circle is x? + y? = 1. (a) Solve for y (assuming y is non-negative, so we get a function). (b) Sketch the function found in part (a). (c) Express the area of a semicircle as an integral, using this function. Last modified: January 8, 2020, Due: January 15, 2019. MATH 15200, SECTION 13 (d) For this function, write down the expression for the (maximal) lower sum of a regular partition of size n wheren is even. (e) Using your knowledge of the area of a circle, write down a sum that tends to T as n gets large. Remark: This gives a method for approximating 7.
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