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Question 2. Consider the equation 3(x2 +y?)² – 100cy. 1. (1 point) Show that (x, y) – (3, 1) is & solution to this equation. 2. (2 points) Show that if (o, 30) is a solution to this equation, then (y0, o) and (-xo, -30) are also solutions to this equation. dy 3. (4 points) Find dx (3,1) 一 dy dy 4. (2 points) Using your answer from part (2), deduce four points (2, y) such that dr (2,y) dx (3,1) dx 5. (1 point) What is [Note: You do not need to compute the derivative from scratch] dy l(3,1)

Question 2. Consider the equation 3(x2 +y?)² – 100cy. 1. (1 point) Show that (x, y) – (3, 1) is & solution to this equation. 2. (2 points) Show that if (o, 30) is a solution to this equation, then (y0, o) and (-xo, -30) are also solutions to this equation. dy 3. (4 points) Find dx (3,1) 一 dy dy 4. (2 points) Using your answer from part (2), deduce four points (2, y) such that dr (2,y) dx (3,1) dx 5. (1 point) What is [Note: You do not need to compute the derivative from scratch] dy l(3,1)

Algebra for College Students
Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter13: Conic Sections
Section13.1: Circles
Problem 48PS
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Question 2. Consider the equation 3(x2 +y?)² – 100cy. 1. (1 point) Show that (x, y) – (3, 1) is & solution to this equation. 2. (2 points) Show that if (o, 30) is a solution to this equation, then (y0, o) and (-xo, -30) are also solutions to this equation. dy 3. (4 points) Find dx (3,1) dy dy 4. (2 points) Using your answer from part (2), deduce four points (2, y) such that dr (2,y) dx (3,1) dx 5. (1 point) What is [Note: You do not need to compute the derivative from scratch] dy l(3,1)
Transcribed Image Text:Question 2. Consider the equation 3(x2 +y?)² – 100cy. 1. (1 point) Show that (x, y) – (3, 1) is & solution to this equation. 2. (2 points) Show that if (o, 30) is a solution to this equation, then (y0, o) and (-xo, -30) are also solutions to this equation. dy 3. (4 points) Find dx (3,1) dy dy 4. (2 points) Using your answer from part (2), deduce four points (2, y) such that dr (2,y) dx (3,1) dx 5. (1 point) What is [Note: You do not need to compute the derivative from scratch] dy l(3,1)
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