Find the points on the cone z = x + y2 that are closest to the point (8, 2, 0). %3D (x, y, z) = (smaller z-value) (x, y, z) = (larger z-value)

Q: F .2 .2 x- +y at A=(2, 3), B=(-2, 2) and C=(3, -4).

A: 1.) div F at A(2,3) = <4,6>2.) div F at B(-2,2) = <-4,4>3.) div F at C(3,-4) =…

Q: If the point A(2,7) was dilated by a factor of 2 with a center at the origin and then translated by…

A: A dilation by a factor of 2, transforms A(2,7) into B(4,14)  [Since, 2×(2,7) = (4,14)]

Q: Find the center, transverse axis, vertices, foci, and the asymptote of the y^2-x^2-4x+4y-1=0

A: Steps and explanations are as follows: In case of any doubt, please let me know. Thank you.

Q: What is the reflection over the y-axis of (-7,8)

A: Given  Point : (-7,8)

Q: Use method of variation of parameters. y" +2y-8y = 2e-2x - e-x.

A:

Q: A line goes through the points (-4,7) and (1, 2). What is the equation of the line? A y = x – 3 By =…

A: In this question first of all we find slope of required line, then solve it further to find out the…

Q: Find Duf at P. f(x, y, z) = 6x³y³z³; P(2, — 2, 2); u = Duf = i + - 2|3 k

A:

Q: Find the distance from the point to the line.   (−4,4,−1)​; x=-3+3t, y=-1+t, z=1+2t   The distance…

A:

Q: csc²a = acote

A:

Q: 5- 24 1+ A to A' type your answer. B' type your answer. and C' type your answer.

A: The given data is:   From the graph, the coordinate of A2,-3, B5,-4, and C2,-4 To find the…

Q: x is cross product

A: Given, let f,g:R→R3 be differentiable functions. The derivative of their vector cross product is…

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.