Find the point on X-axis which is equidistant from (2,-5) and (-

Q: Graph the function y = x2 over the interval [-2, 2].

A: y=x2 We first make a table for the function x -2 -1 0 1 2 y 4 1 0 1 4

Q: For x = x (x - 1)(x + 2)², what is the coordinate of the rightmost fixed point?

A: Given differential equation is x ˙= xx-1x+22

Q: Find an equation for the contour of f(x, y) = 2x°y+ 8x + 15 that goes through the point (5, 2).

A:

Q: b. Find the slope of the curve at the given point. y* = 2x; (648,6)

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Q: Find the local extreme values of the function ƒ(x, y) = xy - x2 - y2 - 2x - 2y + 4.

A:

Q: Q5: (A): Finding a curve whose slope at the point (x, y)is 3x² if the curve is required to pass…

A: if the curve is passing through the point (1,-1) then we have to find the curve if the slope of the…

Q: Find the equation of the line tangent to the graph of f(x) = 3x³ + 6x? – 4x – 3 at x = -6,

A:

Q: A hiker realises that the sun is going down and she forgot her headlamp. If the surface of the…

A:

Q: find the point at which the line g(x)=−1x+0g(x)=-1x+0 intersects the line k(x)=−4x+9

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Q: Find the point at which the line f(x) = - 2x +4 intersects the line g(a) = -a

A: Given, f(x)=-2x+4 and g(x)=-x

Q: Find the point on the line – 6x + 2y +1= 0 which is closest to the point (1, – 3).

A:

Q: Find an equation for the set of points equidistant from the x-axis and the y-axis.

A: Let the point be (x,y,z) which is equidistant from the x-axis and the y-axis. Concept used:

Q: Find the slope of the curve y = x3 + 8x +14, where the curve crosses the x-axis

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Q: find the slope of the curve at the point indicated y = 5x - 3x2, x = 1

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Q: Trace the curve x^3 − 6x^2 + 11x − y = 6.

A: Given- x3-6x2+11x-y=6 To draw- The graph of the above function. Concept used- The above expression…

Q: x2-5х-6 y = (х+3) (х-3)

A: y=x2-5x-6x+3x-3 We have to find the values of x at which the given y is discontinuous.

Q: Find the coordinates of the point on x axis which is equidistant from (-2,5) and (2,-3)

A:

Q: Find an equation for the set of points equidistant from the point (0, 0, 2) and the x-axis.

A: To determine the equation for the set of the points.

Q: s reflected in the x-axis, then the

A:

Q: The linear functions m(x) and n(x) are perpendicular to each other and intersect on the x-axis. If…

A: Two lines with slope m1 and m2 are perpendicular to each other if m1m2=-1 Given: m(x)=4x+48 Let the…

Q: What will be the x-coordinate of Point C?

A: I have given an answer in step 2.

Q: Find the x and y intercept(s) of y=x2+4x+3

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Q: Q1/a) Find the curve whose slope at the point (x,y) is 3x2 if the curve is also passes through the…

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Q: If x² + xy + y3 = 1, find the value of y"' at the point where x = 1. y"' =

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Q: Find the equation of the line tangent to the graph of y = 2x3 – 8x? + 3x – 6 at x = 1.

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Q: Find the equation of the line perpendicular to the line 3x + 4y + 6 = 0 and making intercept -4on…

A:

Q: If x2 + xy + y3 = 1, find the value of y'' at the point where x = 1. y"':

A: The given question can be solved as shown in step2,

Q: Find all points on the y-axis that are 6 units from the point (4, - 3).

A: Consider the point A(4, - 3) which is 6 units from the point B(0,y).

Q: Find the equation of the line perpendicular to 6x+4y=7 passing through the point (0,4).   y=

A:

Q: Determine the slope 3(x2+y2)2=100xy at the point (3,1)

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Q: Find the point at which the line ƒ(æ) = 2x intersects the line g(x) = 4x + 12

A:

Q: х* - Зx* +2 ,2 y' x? ,2

A: The x-intercept is a point where the y-coordinate of that point is 0. To find the x-intercept put…

Q: Find the point on the line −5x+2y+6=0 which is closest to the point (0,−1). Answer =

A:

Q: Find the equation of the line perpendicular to 8x + 2y = 1 passing through the point (4, Y = -X

A:

Q: Find all points on the x-axis that are 6 units from the point .(4,-3)

A: Consider the point on the x-axis be (x, 0)

Q: At what point of the curve y = x3 + 3x are the values of y’ and y” equal?

A:

Q: If -y3 – 4y + a² – 5x: -y? then find at the point (3, –1). %3D

A: In this question we need to find a derivative of the given function at the point (3, -1 )

Q: Find the point on the line 4x+4y+5=0 which is closest to the point (4,3)

A: Given,A line 4x + 4y + 5 = 0 and a point (4,3).The equation of the line can be written as,

Q: Find the point on the line y = 2x that is closest to the point (5, 2).

A:

Q: Find an equation for the collection of points for which the distance to (12, 0) is twice the…

A: Refer to the question we need to find an equation for the collection of points for which the…

Q: y = 6x?, 1, and y 0, about the -axis.

A:

Q: Find the point on the line 5x + 2y + 7 = 0 which is closest to the point (1, –2)

A:

Q: Given f ( x ) = x 3 − 3 x 2, find the y-coordinate of the y-intercept.

A:

Q: Find the point on the y-axis that is equidistant from the points A(-4,-2) and B(3,1).

A: Given points (-4,-2) & (3,1)Point on y-axis means x-coordinate is zero i.e.,point is (0,y)

Q: Find the equation of the curve for which -6-9x and which passes through the points (0,-1) and (2,…

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Q: Find all points on the x-axis that are 14 units from the point (6, - 7).

A:

Q: Find the slope of x²y=8 at the point (2,2).

A: Given: x2y=8 To find: Slope of x2y=8 at (2,2)

Q: Which of the following is the y-coordinate for the point that lies on the line y=-3/4x+1 and has an…

A: substitute the  value of x .

Q: Find all points on the x-axis that are 5 units from the point (4, - 3).

A: Solution Given (x1,y1)= (4 -3) y2 = 0          (point lies on x- axis) we know the distance formula…

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.