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

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: Plot the points from the table onto the coordinate plane below. y -5 3 -3 -4 -4 -1

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

A:

Q: Find the slope of the curve y = 2+ 3x? – 4x³ at the point where x = a.

A: slope of curve at x= a is f'(a)

Q: Find the equation of the line passing through the point (2, 3) and parallel to the x-axis.

A: Given that the line is parallel to x-axis it implies the slope of the line will be equal to zero.…

Q: Find an equation of the set of all points equidistant from the points A(-1, 5, 4) and B(6, 2, –1).

A: Given : A(-1,5,4) and B(6,2,-1) Let P(x,y,x) be at equidistance from A  and B Now find the distance…

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: Graph the ordered-pair solutions of y = x2 when x = −2, −1, 0, 1, and 2

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Q: The point that is 2 units to the left of the y-axis and 4 units above the x-axis has coordinates (,.

A: A point which is a units to the left of y-axis and b units above the x-axis is given by the…

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: Determine the y-intercept of the following equation. (x – 1)(x + 3) = Y O (-3, 0) (-3,0) (0, 1) and…

A: Put x=0 on the equation and the find the value of y

Q: Find all points having a y-coordinate of - 3 whose distance from the point   (1, 2) is 13.

A: Consider the points are A = (x,-3) and B=(1,2) The distance between A and B is 13 units.   If the…

Q: Find the point on the line  y = 4x + 3  that is closest to the origin

A:

Q: Find the point on the line y = x + 1 that is closest to the point (4, 1).

A: The given equation of the line is, y=x+1 Let the point x,x+1 is closest to the point 4,1 Using…

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

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Q: Which points on the graph y = x² are closest to the point (0, 4)?

A: Since multiple questions are asked , According to guidelines I will answer the first one.

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

A:

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

A: I have given an answer in step 2.

Q: x

A:

Q: Find the point on the y-axis which equidistant from the point A (6,5) and B (-4,3)

A: Please refer to the image below

Q: about the y-axis

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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: 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: Containing the points (-3,4) and (2,5)

A: The points are (-3, 4) and (2,5). The equation of line in slope-intercept form is given as…

Q: Find an equation for the contour of f(x, y) = 2a²y + 6x + 15 that goes through the point (4, 1).…

A: A contour line of the quadric surface is the curve of intersection of the quadric surface with the…

Q: The point that is symmetric with respect to the x-axis to the point (2,-5) is _____.

A: The point that is symmetric with respect to the x axis to the point (2,-5) is be found with the help…

Q: Find the point on the x-axis that is equidistant from the points (0,−1) and (5,−3)

A: To find the coordinates of the point satisfying the given conditions

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: Find the slope of the equation at the point (2,2) * x²y = 8 O -1/2

A: Slope of a equation y=fx at a point a,b  is given by dydx(x,y)=(a,b)=df(x)dx(x,y)=(a,b)As per…

Q: Find the solution of the equation which passes through the x-axis.

A: If it passes through the X-axis, then, y=0 & z=0 is satisfied. So, we get, 0 = (p²+q²)/2 +…

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

A:

Q: Find the point on the line y = 5x + 3 that is closest to the origin.

A: *to find:- shortest distance point coordiantes from origin.

Q: Find the equation of the plane perpendicular to the x-axis and passing through the point (-2,3,2)

A: Find the equation of the plane perpendicular to the x-axis and passing through the point (-2,3,2)

Q: Graphically, find the point (x1, y1) which lies on both lines 2x + y = 4 and x −y = 2.

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Q: +2

A: X Intercept when graph crosses x axis Y intercept when graph crosses y axis

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

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Q: Determine the points of intersection of y = x2 and y = x + 1.

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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: Sketch the graph of the equation, and label the x- and y-intercepts

A: Solution: Consider the given equation is: y = -x Graph:

Q: Find an equation of the set of all points equidistant from the points A(-3,

A: Given, the coordinate points A-3, 6, 2 and B5, 2, -3.

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

A:

Q: y = (x-5)(x+1)

A: Given equation of curve y=x3(x-5)(x+1)                   (1) We have to trace the curve of above…

Q: The point P(4, -2) lies on the curve y = -

A: As per our guidelines, we are supposed to answer one question at a time. Kindly repost other…

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 y"=6x^2, and which passes through the points (0,2) and…

A: The given differential equation is in the variable separable form and can be solved by integrating…

Q: Write an equation for a line perpendicular to f (1) = 5x – 1 passing through the point (5, 20). %3D…

A:

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.