Complete the equation of this circle: (x- [ ? ])²+(y –[ D²= [ ] |

Q: For x^2+y^2-8x-4y+C=0 (a)If this is the equation of a circle with centre (4,2) and radius 3,find the…

A: Given…

Q: The center of a circle lies on the line y = 6x + 2 and is tangent to the x-axis at (-2,0). What is…

A:

Q: x^2+y^2−16x+14y+ 97= 0 is the equation of a circle with center (h,k) and radius r for: h= and k=…

A: Solution is done in step 2

Q: Q2/ Find the equation of the circle tangent to the lines, y= -2x+3, y 2x+7, and y

A: Answer

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: 2+y 4x + 2y +1 = 0 is the equation of a circle with center (h, k) and radius r for: h = and k = and…

A: We use completing square method to convert it into standard equation of circle  Standard equation of…

Q: x + y? – 14x + 6y + 54 = 0 is the equation of a circle with center (h, k) and radius r for: %3D h =…

A: Lets find radius r  and  center(h,k).

Q: (d) Find the points on the curve x'y = 60 nearest the origin.

A:

Q: r (t) = is a line circle O helix parabola

A:

Q: Change this equation in to circle graphing form, showing work: x² – 10x + y? + 4y – 11 = 41

A:

Q: Find the equation of the circle with center at the origin and radius v11 * X^2+y^2=v11 X^2+y^2= 11 O…

A:

Q: what is the standard equation for the circle that is given in the general form? x2+y2+4x+6y-36=0

A: According to the problem, we have

Q: follows N2. 6. Find the center and radius of the circle described by the equation r +y + 6x – 4y –…

A:

Q: e2z dz, I (z+ 1)* (b) Where C is a circle |z| = 3

A: The given integration is ∮ce2zz+14dz where c is the circle z=3 Here the pole z=-1,which is of order…

Q: Find the length of the curve. x- 4t°, y= 6t, 0sts 3

A:

Q: 2x + 2y? + 20x + 4y + 20 = 0 is the equation of a circle with center (h, k) and radius r for: h and…

A: Given :  2x² + 2y² + 20x + 4y + 20 = 0 To find: center (h,k) and radius r?

Q: dy for the circle defined by the equation x2 + y2 = 18. dx 4) Find

A: Given equation of circle is x2+y2=18 Power rule of differentiation states ddxxn=nxn-1…

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: x + y° – 14x + 16y + 49 = 0 is the equation of a circle with center (h, k) and radius r for: h = and…

A:

Q: Find an equation of the circle that satisfies the stated conditions.

A: Given that, the equation is   x2+y2+4y -117 = 0  To Find the standard equation of the circle

Q: write the equation of the circle satisfying the given conditions. Express your answers in the form…

A: A function is a relation between an input variable and an output variable wherein each input…

Q: Q5/ Find the equation of the circle tangent to the lines y=2, x-3 and y = x+2.

A: Explained below

Q: Q2/ Find the equation of the circle tangent to the lines, y -2x+3, y = - 2x+7, y=+ and y =+

A: In the above question we have to find the equation of the circle at the tangents -  y= -2x+3 ; y =…

Q: 2x2 + 2y? + 16x + 16y – 34 = 0 is the equation of a circle with center (h, k) and radius r for: -

A:

Q: htre of the circle x +y -4x-2y-3 = 0. Find

A:

Q: 3x? + 3y? – 30x – 6y + 3 = 0 is the equation of a circle with center (h, k) and radius r for: - h =…

A: Given the equation of circle , need to find its centre and radius.

Q: The area of the upper half of the circle whose equation is (x – 1)? + y? = 1 is given by

A:

Q: x2+y2−2x+2y+1=0 is the equation of a circle with center (h,k)(h,k) and radius rr for: h=h=   and…

A: We will solve the given equation in form of (x-h)2 + (y-k)2 = r2

Q: Q2/ Find the equation of the circle tangent to the lines, y =-2x+3, y = - 2x+7, y-+늘and y- +글 %3D…

A: The lines given by y=-2x+3 and y=-2x+7 will be parallel to each other as they have the same slope m.…

Q: Which is the center and radius of the circle given by the equation, x² + y² - 6x 10y + 11 = 0?

A: The answer as follows:

Q: x + y - 16x + 18y + 109 = 0 is the equation of a circle with center (h, k) and radius r for: h = and…

A:

Q: write the equation of the circle that satisfies the given conditions. Express your answers in the…

A: Center of the circle is -3, -4 and radius is 5.

Q: write the equation of the circle that satisfies the given conditions. Express your answers in the…

A: Consider the equation of a circle with center at 2,8 and radius r=3. The standard form of the…

Q: Find the equation of the circle, if the center of the circle of radius 3 lies on the line x + 2y = 4…

A: Let the center of the circle is (h, k). If its center passing through the line x + 2y = 4, then h+…

Q: 10. The radius of the circle with equation x² +y² – 10x + 12y + 41 = 0 is A 5V2 B 3V5 с 25 D 4V5

A:

Q: The equation x2 + y2 + Dx + Ey + F = 0 is called the_________ form of the equation of a circle.

A: The general form of the equation of a circle is x2+y2+Dx+Ey+F=0. D, E and F are constants.

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).

A:

Q: Give the equation of the circle centered at the origin and passing through the point (0, 3). D=0

A:

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

A:

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

A:

Q: Give the equation of the circle centered at the origin and passing through the point (-8, 0). O=0

A: A circle is the locus of points in two-dimensional space equidistant from a fixed point. The…

Q: Find the center and radius of the circle x2+y2−6x+4y−3=0. Then graph the circle.

A: Consider the general form for the equation of the circle.

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

A:

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

A:

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

A:

Q: Find the standard form of the equation of the circle. Center ( - 1, 3) and tangent to the line y = 2

A: To find: The standard form of the equation of the circle. Given information: Center ( - 1, 3) and…

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.