Q7// Find the distance between line L1:y=2 x+6 and circle with .center (1,2) and radius 2

Q: What is the maximum vertical distance between the line y = x + 30 and the parabola y = x2 for -5 s x…

A: given, equation of line is y = x + 30 and equation of parabola is  we have to find maximum vertical…

Q: Find the shaded area of diagram that shecked by curve y = x2 + 2x and the line y = -x.

A:

Q: Find the exact length of the curve.10. 36y 2 = (x2 – 4)3, 2 ≤ x ≤ 3, y ≥ 0

A: Given :                36 y2  =  ( x2 - 4)3  To find :                  The exact length of the…

Q: 4. Find the point on the curve y = 2x² – 12x + 5 where the tangent is horizontal.

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Q: The circle whose equation is ((x+3)^2)+((y+4)^2)=17 and the line whose equation is y= 4x+25 are…

A: Given query is to find the the point of tangency.

Q: What is the equation of the tangent line to the circle x2 + y? = 34 at the point (5, 3)?

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Q: Find the length of the curve y x² Inx 8 at (2 <x< 4)? -

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Q: Find the image of the line x = 1 under (a) flz) = z²

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Q: Find distance between point A(1,3) Perpenclicular on the line L: 2y =2 +X

A: Use the following formula: The perpendicular distance from the point A(x1,y1) to the line ax+by+c=0…

Q: Find the shortest distance between the line y - x=1 and the curvex =y.

A: NOTE: Refresh your page if you can't see any equations. . the given line is  compare this…

Q: Evaluate the length of the curve x = 5 - y+1,0<y<3

A: Given, x=5-y+1 ,     0≤y≤3

Q: Find the exact length of the curve. y = 7+ cosh (2x), 0 ≤ x ≤ 4 1 2

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Q: Find the length of the curve defined by 2? = 2y3 from x = 0 to x = 4:|| %3|

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Q: Solve the center qnd radius of the circle passing through the points P(1,1) and is tangent to the…

A:

Q: Find the equation of tangent to the circle x + y = 25 at the point (3, –4)

A: Equation of the tangent line

Q: Find thepoints on the curve y = 2x3 - 3x2 - 12x + 20 where thetangent line is parallel to the line y…

A: Given curve is y=2x3-3x2-12x+20 Given line is y=2-12x=-12x+2  Slope of the given line is -12.…

Q: Find the length of the arc of the curve 4y2 = 9x3 from the origin to the point (2,3v2).

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Q: Find the points on the lemniscate where the tangent is horizontal. 8(x2 + y2)2 = 81(x2 − y2)

A: The equation for the lemniscate

Q: Find the length of the curve. 29) y = 1,3. 6. 1. from x = 1 to x = 3 2х

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Q: Find the length of the curve defined by y = 3z3/2 - 3 from x = 3 to a = 9. The length is

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Q: Find the points where the line y=−3xy=-3x intersects a circle of radius 2 centered at the origin.…

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Q: For what values of a and b is the line-3x + y-b tangent to the curve y = az3 when x-5? a=

A: The value of slope of tangent to the curve at the point is the value of its derivative at that…

Q: b) Find the shaded area of diagram that shecked by curve y =x² + 2x and the line y

A: The area between curves y=f(x) and y=g(x) on an interval [a, b] where f(x)≥g(x) on the interval is…

Q: Find the slope of the tangent line to the circle x2+y2 = 4 at (1,-v3)

A: To find the slope of tangent line to the circle x2+y2=4 first find the derivative dydx.…

Q: Determine the length of the curve x = 3y2 -1 between y = 0 and y = 4 3/2

A: The given curve is x=3y32-1 We will find the arc length of the curve between y=0 and y=4

Q: Evaluate the length of the curve x = 6 – Vy – 2 , 3< y<6

A: To find the length of following curve  x = 6 - sqrt( y - 6) 3 ≤ y ≤ 6

Q: gion shaded in light blue is bounded by two curves, y = (x – 1)? + 33 (in dark red) and z+ 3)² + 1…

A: We will find the area between the curves.

Q: Find the length of the curve y=x^3/2 from (1,1) to (2,2squareroot2)

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Q: Find the are length of the curve 2x = 3 y over the interval from y=0 to y=1

A: To find: The arc length of the curve in the interval . Formula used: The arc length of the curve…

Q: Find the are length of the curve x = (y² + 2)/2 from y-0 to y=1

A: First, calculate dxdy for the equation, x=13(y2+2)32  . Then, use the formula, L=∫ab1+dxdy2 dy to…

Q: Find the set of values of y=2x+k meets the curve y=1+2kx-x² at 2 distinct points?

A: Given: y=2x+kat 2 distinct points

Q: Calculate the length of the curve defined by x =- Vy(y-3)on the interval 1 < y < 9.

A: x=13yy-3,   1≤y≤9 Differentiating with respect to y, we get…

Q: Find the point (in the first quadrant) on the lemniscate 2(x2 + y²)² = 25(x² - y²) where the tangent…

A:

Q: What is the maximum vertical distance between the line y = x + 42 and the parabola y = x for -6 s xs…

A: Consider the equation y=x+42 and y=x2; -6≤x≤7. Substitute y=x+42 in y=x2.…

Q: Find the length of the curve 9y2=8x3 from x=o to x=12 when y>0

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

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Q: Identify the center and radius of the circle passing through the points P(1, 3) and is tangent to…

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Q: Find the distance between line 2xy + z = 4.

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Q: 03) (Answer only two ): 4- Find the distance between the curve ( y=x+4) & line 0=x-4)

A: According to our guideline we can't solve multiple questions. so please repost the question…

Q: Find the length of the curve. y = In(secx), 0Sx</4

A:

Q: What are the coordinates of the points in the graph of y? - - x2 + 6x – 13 = 0 in which the tangent…

A: Note that the slope of a horizontal line is zero. Also the slope of a tangent is given by the…

Q: Find the area of the circle whose center is at (2, -5) and tangent to the line 4x+3y-8=D0

A: Area of the circle = 9π sq.units

Q: Find the distance between the point (1,1) and (3,9) along the curve y=x2

A: Given:The points (1,1) and (3,9) along the curve y=x2To find the distance we need use calculus as…

Q: What is the longest distance from the curve x ^ 2 + xy + y ^ 2 = 16 to the origin?

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Q: Find the equation of the line that is normal to the curve (y-x)2 = 2x + 4 at (6,2). %3D

A: Use equation of normal line

Q: Find the exact length of the curve. y = 4 글2-글 In(x), 1 < x < 4

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Q: What is y = _ + x3 1 curve x = 1 and x = 2 the length of the part 12 х between the abscissa points?

A: We find dy/dx using the power rule

Q: Find the exact length of the curve. y = 9 + ¹ cosh (8x), 0≤x≤7

A: The curve y=9+18cosh8x, 0≤x≤7

Q: Find the length of curve along y = x² from (0,0) into (2,4).

A:

Coordinate Geometry

Coordinate geometry, also known as analytic geometry or Cartesian geometry in classical mathematics, is a type of geometry that is studied using a coordinate system. Coordinate geometry is a branch of mathematics that describes the position of points on a plane using an ordered pair of numbers called coordinates.