Consider the circle 2x² + 2y² - 12x+8y-24 = 0. (a) Find the center (h, k) and radius r of the circle. b) Find the intercepts (if any) and c) Graph the circle.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Please solve these mathematical problems. Thanks in advance. 

10. Consider the circle 2x² + 2y² - 12x + 8y - 24 = 0.
(a) Find the center (h, k) and radius r of the circle.
(b) Find the intercepts (if any) and
(c) Graph the circle.
11. Answer the following questions about the function f(x): =
2x²
x+1
(a) Is the point (-1, 1) on the graph of f(x)?
(b) If x = 1, what is f(x)? What point is on the graph of f(x)?
(c) If f(x) = 1, what is x? What points are on the graph of f(x)?
(d) What is the domain of f(x)?
(e) List the x and y intercepts, if any, on the graph of f(x).
Transcribed Image Text:10. Consider the circle 2x² + 2y² - 12x + 8y - 24 = 0. (a) Find the center (h, k) and radius r of the circle. (b) Find the intercepts (if any) and (c) Graph the circle. 11. Answer the following questions about the function f(x): = 2x² x+1 (a) Is the point (-1, 1) on the graph of f(x)? (b) If x = 1, what is f(x)? What point is on the graph of f(x)? (c) If f(x) = 1, what is x? What points are on the graph of f(x)? (d) What is the domain of f(x)? (e) List the x and y intercepts, if any, on the graph of f(x).
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