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(3) Based on your work from parts 1 and 2 you have just proved a very important inequality. Write down that inequality.

(3) Based on your work from parts 1 and 2 you have just proved a very important inequality. Write down that inequality.

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 94E
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Question 2. Chun starts with numbers a, b ≥ 0 and puts them on a line. Then they draw a semi-circle with diameter a + b, and draw a vertical line of length e as in the diagram. C a b (1) Assuming a + b is always the same number (but a and b can change), what is the smallest possible value of c you can get? What happens to a and b when that happens? What is the largest possible value of c you can get (as a function of a and b)? What relationship do a and b have when that happens? (2) Using geometry, show that c² = ab. (Hint: You may use the fact that the angle a in the diagram is always 90 degrees.) (3) Based on your work from parts 1 and 2 you have just proved a very important inequality. Write down that inequality. Dear Expert: Please just answer Part 3 and do not include Parts 1 and 2 if against policy
Transcribed Image Text:Question 2. Chun starts with numbers a, b ≥ 0 and puts them on a line. Then they draw a semi-circle with diameter a + b, and draw a vertical line of length e as in the diagram. C a b (1) Assuming a + b is always the same number (but a and b can change), what is the smallest possible value of c you can get? What happens to a and b when that happens? What is the largest possible value of c you can get (as a function of a and b)? What relationship do a and b have when that happens? (2) Using geometry, show that c² = ab. (Hint: You may use the fact that the angle a in the diagram is always 90 degrees.) (3) Based on your work from parts 1 and 2 you have just proved a very important inequality. Write down that inequality. Dear Expert: Please just answer Part 3 and do not include Parts 1 and 2 if against policy
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