Find the point on the graph of y2 - xz2 = 4 nearest the origin.

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

A: Given, y=1-x

Q: Sketch the graph of the equation 3x − 3y + 1 = 0

A: Given equation:  3x − 3y + 1 = 0

Q: The diagram shows the curve y= 4x –x and the straight line x=4.

A:

Q: Match the equation with its graph. y2 z2 = 1 16 31 21 --5 -31 4 4.

A:

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

A:

Q: Which points on the graph of y = 4 - x2 are closest to the point (0,2)? Ans. and

A: We will use Lagranges multiplier to find nearest points on graph

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: 3. Which graph represents the equation below ソ=ーデマ 1 y3--x+2

A:

Q: Graph the curves y = x3 - 4x and x =y3 - 4y and find their points of intersection correct to one…

A: We will graph the functions using a graphing calculator

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

A:

Q: Match the equation with its graph. y2 +z2 - x² = -1 = -1 %3D |

A: To be found :     Graph of y2 + z2  - x2 = -1

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: Find the point on the line y = 2x + 8 that is closest to the origin.

A:

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

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: Please find attached

A: To sketch the graph of the equation given.

Q: find (y" ) for the following equation 3x²-2y'-y=6 at point (2,1)

A: Take the first derivative of the whole term than find y' at given point after this calculate second…

Q: Find the points of intersection of the curves y = 5x2 - 3x - 2 and y = 2x - 1.

A: We have the equation of curves as y=5x2-3x-2            ⋯⋯1y=2x-1                      ⋯⋯2

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

A: Given, the line equation

Q: Find the length of the curve Y 12x', 1<X< 2

A: Given curve is: Y=X55+112X3, 1≤X≤2 To find the length of the curve.

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

A:

Q: Which is the graph of the ine y-2 = 3(x - 1)?

A:

Q: Find a point on the parabola y - x* + 9 which is closest to the origin.

A:

Q: Find the output for the graph y = 3x + 2 when the input value is 3. y = [?]

A: y=3x+2 here input value is 3 so take x=3

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 point on the graph of the equation 16x = y2 that is closest to the point (6, 0).

A: The function is 16x=y2 and the point is 6,0.

Q: Find the coordinates of the midpoint between the two points on the graph.

A: To find the midpoints

Q: Find the point on the parabola y = x³ that is closest to the point (1, 2) with two digits accuracy…

A:

Q: Find the point(s) of intersection of the parabola with equation y = x2 - 5x + 4 and the line with…

A: Given equations are,

Q: Find the slope of the curve y = x2 + 4x - 10 At the point (2, 3)

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 image of the point (1,2) in the straight line 3x+4y-1=0

A:

Q: Graph the curves and show that the 2x2-y2=C is a solution to yy'-2x=0.

A:

Q: Plot the graph of Y=3x – 4 between x= -2 and x=4

A: Given equation: Plot the graph of y = 3x-4: The graph is:

Q: Find the point when the line y=-3x+8 that is closest to the origin.

A:

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

A:

Q: The graph of linear equation x+2y = 2, cuts the y-axis at:

A: Given linear equation is x+2y=2.

Q: Find the slope of the curve defined by the equation x²y – 8 = 0 at the point (2, 2)?

A: The required slope of the given curve can be found as below

Q: Find an equation of a line parallel to y-3x=5 and passing through the point (2,2) y=?

A: parallel to y= 3x + 5  p(2,2)

Q: Where the graph y = x^3 − 3x^2 + 2x − 10 is concave up and concave down?

A:

Q: What causes the graph of y = x² to open downward?

A:

Q: What point on the graph of y = x² is closest to the point (3,0)?

A:

Q: Find the point on the line y = 2x + 1 that is closest to the point (5, 2).

A:

Q: Sketch the graph of the equation. x2 + y2 + 4x – 10y = 24

A:

Q: Find the point of the line y = 2x − 1 that is closest to the origin.

A:

Q: What point on the line y=3x+6 is closest to the​ origin?

A: The point on the line closest to the origin is the foot of perpendicular drawn from origin to the…

Q: Sketch the graph of the equation x + 2y + 6 = 0

A: Sketch the graph of the equation x + 2y + 6 = 0

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: Graph the curves y = (x - 3)2 ex

A: Here given as y=x-32ex When x=3 Then y3=3-32e3=0

Q: Graph the curves y = x2(2x2 - 9)

A: To determine: Graph of the curve y=x22x2-9

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.