The center of a circle lies on the line y= 4x +1 and is tangent to the x-axis at (-3,0). What is the equation of the circle in standard form? Enter your answer by filling in the boxes.

Q: Find the exact length of the curve. y = 4 + 2x3/2, 0 < x < 1

A:

Q: The equation of a circle of radius 2 centered at the point (2,-3) is:

A: Please refer the attached image for complete solution.

Q: Find the exact length of the curve. x- 2, y=? - 2, Osts 6

A:

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: Find the exact length of the curve. y = 3 + 6x³/2, 0≤x≤1

A: Given :y=3+6x3/20≤x≤1

Q: Find the equation of the family of curves whose at any point (X, Y) is 1. 3x? + 4 2. * y X+1 3. y-1…

A: Here, there is a little word missing in sentence, 'Find the equation of family of curves whose slope…

Q: Find the equation of the line tangent to the circle x + y + 6x - 2y - 15 = 0 at the point (1,-2).

A:

Q: Find the equation of the circle that passes through the point (9,7) and is tangent to both the y…

A:

Q: A circle has an equation of x2+y2+6x+6y+8=0. What is the distance between points of intersection of…

A:

Q: what is the equation of the circle passing through the (x y) points (0 0) (0 6) and (-6 0)

A:

Q: Find the exact length of the curve. y=3+8x3/2, 0 less than or equal to X less than or equal to 1.

A:

Q: Find the equation of a line tangent to the circle x2 +y2 – 4x + 2y - 31 = 0 at the point (2,5). Draw…

A:

Q: Find the equation of the circle if the circle is tangent to the line x + y = 1 at the point (0,1)…

A:

Q: 7. Find the equation of the circle with center (2, -4) and tangent to the y- axis.

A: As per guidelines we are supposed to solve the maximum one questions at a time. plz repost another…

Q: Find the standard form of the equation of the circle. Center (4, - 2) and tangent to the line x = 1

A: Center (4,- 2) and tangent to the line x=1we have to find equation of circle

Q: Find the length of the curve: x3 1 y = - 3 4x' 1<x< 3

A:

Q: The equation with the circle for 1-3 is: (x-2)^2 + (y+3)^2 =9

A: The equation of circle x-22+y+32=9

Q: Find the points on the curve y = 14x closest to the point (0, 1). and

A: This question is based on application of Derivative.

Q: What is the equation of a circle with center (3,5) and tangent to the x-axis? (Put a zero if the…

A:

Q: Find the exact length of the curve.y = 4 + 2x3/2, 0 ≤ x ≤ 1

A: Please see the white board for the formua to calculate the length, L of the curve y = f(x), over the…

Q: Find an equation for a circle of radius 4 and center at the point (0,-2).

A: Given: For a circle,                           radius, r = 4 And            center, (h, k) = (0,-2)

Q: Find the length of the chord intercepted by the circle x2+y2+3y-22=0 on the line y=x-3

A:

Q: Find the equation of the circle tangent to 3x+y+14=0 and x+3y+10=0 with radius square root of 10

A: A tangent to a circle is perpendicular to the radius vector on the point of contact. To find the…

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

A:

Q: Find the exact length of the curve. y = 5 + 2x³/2, 0≤x≤ 1 2.268 X

A:

Q: 1. Determine the equation of the circle which is tangent to the line 21y = 20x - 42. The center of…

A:

Q: 2) What is the standard equation of the circle with a Center (0,0) and a radius of 2.5? (x-h) ^2 +…

A: Given: The center of the circle as (0,0) and radius as 2.5. The objective is to find the equation of…

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

A:

Q: Write the equation in standard form for the circle with radius 4 centered at the origin. x² + y² =…

A: Use the standard formula for the equation of circle when centre and radius are 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 the…

A:

Q: Find the equation of a line tangent to the circle x² + y² + 2x – 4y – 31 = 0 at the point (5,2).…

A: Given: The equation of the circle is  x2+y2+2x-4y-31=0   To determine: The equation of a line…

Q: Find the exact length of the curve. x3 y = 1 + 4x 1< x < 3 3.

A:

Q: Find the exact length of this curve : to y= 16 2x² |<x<2

A:

Q: Find the length of the tangent to the circle x²+y²-2x-3y-1=0 from the point (2,5).

A:

Q: Find the exact length of the curve.y = 1 + 4x3/2, 0 ≤ x ≤ 1

A: Given curve is

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

A:

Q: Find the exact length of the curve. 1 y = + 10x37 6 1 ≤ x ≤ 3

A:

Q: b. the length of the tangents from the point (2, 5) to the circle x +y² -14x-2y+34= 0

A:

Q: Find the exact length of the curve. y = 5 + 8x/2, 0<x<1

A: Topic = application of derivatives

Q: 4. Find the equation of a circle with center at (4, -3) and is tangent to the line 4x-5y 20. %3D y.

A: Explanation of the answer is as follows

Q: ont 9. x2 + y2 – 2x + 10y +1 = 0 10. x2 + y2 -6y - 4 0

A:

Q: Find the standard equation of the circle whose center is on the line y = 3x - 3 and this circle cuts…

A: We 1st assume the standard equation of circle and use the given conditions to derive the require…

Q: At what points will the line y = -2x intersect the unit circle x2 +y2 =1 ?

A: The circle equation is x2+y2=1 and the line equation is y=-2x.

Q: find the standard form of the equation of the circle with center(-6,5) and tangent to the line y=3

A:

Q: i) Find the exact length of the curve y=+15x52 4x3 1 ≤ x ≤ 2,

A: As per our guideline, we are supposed to solve only first question. Kindly repost other question as…

Q: The length of the curve 4/2 3 y = xi - 1,0 < x < 1 is .

A: Given,            The length of the curve y=423x32-1 , 0≤x≤1 is 136.To find : Check whether the…

Q: 3. Write the equation of the circle with center at (4,-5) and touching the line 3x – 2y -7= 0.

A: Consider that the center of circle be -4,-5 and line 3x-2y-7=0 touches the circle.   Since the line…

Q: The center ofa circle lies on the line y= 4x +1 and is tangent to the x-axis at (-3,0). What is the…

A: As the tangent at (-3,0) is x axis, then the normal at (-3,0) passes through the centre of circle.

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…

Q: 2. Find the equation of the tangent to the circle x2 + y2 +4x +16y - 32 = 0 through (4, 0).

A: