Find the standard equation of the circle concentric with x? + y? +2x – 4y – 5 = 0, radius is 7.

Q: 2a? + 2y? + 8x + 4y + 8 = 0 is the equation of a circle with center (h, k) and radius r for: h and k…

A: The equation of the circle 2x2+2y2+8x+4y+8=0, we have to find the center and radius of this equation…

Q: (x – 9)² + (y + 4)² = 25 7. What is the radius of this circle?

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Q: Calculate (2 + x²y) ds where C is the upper half of the circle x² + y? = 1 (y>0) -1

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Q: Find the length of the arc of the curve 9y? 4x3 from the origin to the point (3,2v3).

A: Here, the given curve is: 9y2=4x3⇒y2=4x39⇒y=23x32 Now, the length of the curve on [a,b] is given by:…

Q: 4. Evaluate y ds where C is the upper half of circle x? + y? = 9, traversed in the counterclockwise…

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Q: b) Use Greens theorem to findf x² ydx – xy?dy where C is the circle x? + y? = 4 going counter clock…

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Q: [19] Find the center and the radius of the circle x + y – 8x+ 2y+13= 0. Work:

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Q: 4- Find the center and radius of the circle: x² + y? + 4x – 6y – 3 = 0

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Q: Suppose you have a circle with center (h, k) and radius r. Write an equation that would allow you to…

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Q: Use the Distance Formula to show that the circle with center (0, 0) and radius length r has the…

A: Given: x2+y2=r2 Formula used: OA=x-02+y-02

Q: (b): §. (x* – 2y³)dx + (2x³ – y*) dy, where C is the circle x² + y² = 4.

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Q: Find the center and radius of the circle defined by the equation given below. x2 + 2x + y? + 10y =…

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Q: Use the arc length formula to find the length of the curve y = 5 - 4x, -15 xs 3. Check your answer…

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Q: What is the equation of the a circle with a center located at (4,-1) and a radius of 9? O (z + 4)? +…

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Q: 35. Write an equation of the circle that is tangent to both axes with radius V7 and center in…

A: Let a circle be tangent to the x-axis at point (x,0). Then the line perpendicular to x-axis at this…

Q: 2* + y – 10x+ 18y – 90 = 0 is the equation of a circle with center (h, k) and radius r for:

A: The given equation of a circle x2+y2-10x+18y-90=0 Completing the squares…

Q: Write the equation of the circle in general form that will satisfy t conditions. C. 25. Center 5:4,…

A: Given that: 28. Line segment joining (0, 7) and (-6, -3) is a diameter.30. Center is at (0, -9) and…

Q: What is the equation for the following circle? center: (12, -1), radius: V209 (-12)2 +(y +1)? = 209…

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Q: Find the standard form for the equation of a circle (z – h) + (y – k)² = r? with a diameter that has…

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Q: find the standard equation of the circle 1. concentric with x^2+y+2-6x-4y=36, radius 5 identify…

A: Recall: Equation of the circle : x2+y2+2gx+2fy+c=0 ; where (-g,-f) is the center (x-h)2+(y-k)2=r2;…

Q: The radius of the circle x2+y2=9 is 3.

A: Consider the given circle as x2+y2=9

Q: Find the standard form for the equation of a circle (2 – h)' + (y – k) = r² with a diameter that has…

A: To find the standard form for the equation of circle  Given the diameter that has endpoints (-10,…

Q: Evaluate (r2 + y?)ds, C is the left half of the circle with radius 4 centered at (0,0) and is…

A: We calculate this by using concepts of line Integrals !

Q: |xy dA, D is enclosed by the quarter-circle 20. y - 1 - x² , x > 0, and the axes

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Q: I have taken the integral of A, and I'm towards the end of finding B but I'm confused on how I use…

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Q: at is the equation of a circle with radius V5 and center (5,0)? A. (x + 5) + y? = v5 о в. (т +5)?…

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Q: Find the distance from the point (5,8) to the circle x+y2 + 2x + 6y +3 = 0

A: Please see the explanation below

Q: 2² + y? 14x + 10y + 10 = 0 is the equation of a circle with center (h, k) and radius r for:

A: Given : x2+y2-14x+10y+10 = 0

Q: What is the equation of the circle that has radius of 2 and centre at (-1,3)? A. (x+1) + (y – 3)² =…

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Q: 3. If y = 7x cuts the circle x² + y² = 50 at A and B. Find the coordinates of A and B. %3D %3D

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Q: 19.) Question is attached!

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Q: 3a? + 3y? – 18z – 24y + 48 = 0 is the equation of a circle with center (h, k) and radius r for: h…

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Q: The equation of circle C is (x+3)^2+(y-8)^2%3D36. What is its radius (h,k)? *

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Q: What are the center and radius of the circle given by x^2 + y^2 + 22x + 18y - 14 = 0?

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Q: What is the equation of the circle with the given parameters? Center: (13, -13) Radius: 4 O (r +13)?…

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Q: 3. For a circle with the equation: (x- 3)^2 + (y-5)^2 = 361, what is the length of its radius? *

A: Let's find length of circle radius = r = ?

Q: Find the length of the arc of the curve 9y? = 4x3 from the origin to the point (3,2V3).

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Q: What is the standard equation of the circle center at (3, 4) and tangent to the line x + 2y = 1? A.…

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Q: Q3 What are the radius and center of the following circle? x² + y? + 4x – 4y + 4 = 0

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Q: What is the distance between the center of the two circles whose equation is r +y + 6x + 10y – 12 =…

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Q: Find the center C(h,k) and radius (a) of the circle 9 4x - 4 .2 x² +y - %D

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Q: Q1/ Find the standard equation of circle if a diameter has end points (2,0) & (0, 2 ).

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Q: Find the center and radius of the circle x2 + y2 + 4x = -2y +11. Sketch the circle. %3D ....-

A: Convert the equation of circle into standard form: (x-h)^2 + (y-k)^2 = r^2

Q: Q1/ Find the equation of the circle tangent at least to three lines (y= 1, y= 5, x= 2 and x=7). 40%

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Q: Q3. What are the radius and center of the following circle? x² + y? + 4x – 4y + 4 = 0

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Q: What is the radius of the circle with equation I +y+6z 54 +2y? Write the answer in the space…

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Q: Determine the evolute of the circle x2+y2=R2.

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Q: 9. Find the center and radius of the circle z? + y? -2r+ 8y-1=0

A: We first write the given equation in standard form.…

Q: 2. Write the equation of the circle with Center (-1, – 8) and Radius : V7 x2 + 2x + y? + 16y + 58 =…

A: Topic-analytic geometry