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.

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter2: Equations And Inequalities

Section2.7: More On Inequalities

Problem 44E

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