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(a)
To find: The center and radius of circle
(a)
![Check Mark](/static/check-mark.png)
Answer to Problem 18T
The center of circle is
Explanation of Solution
Section1:
The given equation of circle is
The equation of circle with center
Rewrite the given equation,
Compare above equation with equation (1) to get the center
Thus, the center of circle is
Section2:
From the section1 the center of circle is pass through origin and the radius of circle is 5 that is shown below,
Figure (1)
Figure (1) shows the graph of circle
(b)
To find: The center and radius of circle
(b)
![Check Mark](/static/check-mark.png)
Answer to Problem 18T
The center of circle is
Explanation of Solution
Section1:
The given equation of circle is
The equation of circle with center
Rewrite the given equation,
Compare given equation with above equation to get the center
Thus, the center of circle is
Section2:
The given equation of circle is
From the section1 the center of circle is
Figure (2)
Figure (2) shows the graph of circle
(c)
To find: The center and radius of circle
(c)
![Check Mark](/static/check-mark.png)
Answer to Problem 18T
The center of circle is
Explanation of Solution
Given:
The equation is
Calculation:
Section1:
The equation of circle with center
First, group the x-terms and y-terms then make a complete square within each group in the given equation,
Add
Compare the above equation with equation (1) to get the center
Thus, the center of circle is
Section2:
From the section1 the center of circle is
Figure (3)
Figure (3) shows the graph of circle
Chapter 1 Solutions
Precalculus: Mathematics for Calculus - 6th Edition
- A tank initially contains 50 gal of pure water. Brine containing 3 lb of salt per gallon enters the tank at 2 gal/min, and the (perfectly mixed) solution leaves the tank at 3 gal/min. Thus, the tank is empty after exactly 50 min. (a) Find the amount of salt in the tank after t minutes. (b) What is the maximum amount of salt ever in the tank?arrow_forwardpleasd dont use chat gptarrow_forwardBy using the numbers -5;-3,-0,1;6 and 8 once, find 30arrow_forward
- Show that the Laplace equation in Cartesian coordinates: J²u J²u + = 0 მx2 Jy2 can be reduced to the following form in cylindrical polar coordinates: 湯( ди 1 8²u + Or 7,2 მ)2 = 0.arrow_forwardFind integrating factorarrow_forwardDraw the vertical and horizontal asymptotes. Then plot the intercepts (if any), and plot at least one point on each side of each vertical asymptote.arrow_forward
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- Suppose that R (x) is a polynomial of degree 7 whose coefficients are real numbers. Also, suppose that R (x) has the following zeros. -1-4i, -3i, 5+i Answer the following. (b) What is the maximum number of real zeros that R (x) can have? ☐arrow_forwardi need help please dont use chat gptarrow_forward3.1 Limits 1. If lim f(x)=-6 and lim f(x)=5, then lim f(x). Explain your choice. x+3° x+3* x+3 (a) Is 5 (c) Does not exist (b) is 6 (d) is infinitearrow_forward
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