Find the point on the sphere x^2 +y^2 +z^2 =4 which is closer to the point (1,-1,1)

Q: Find the parabola of the form y=ax^2+b which best fits the points (1,0), (4,4), (6,8) by minimizing…

A:

Q: determine the equation of this parabola

A: The general form of the parabola is y=ax-h2+k where h,k is the vertex of the parabola.

Q: sketch y+3x =9 in two dimensional and three dimensional space

A: sketch y+3x =9 in two dimensional and three dimensional space

Q: Q3\Find the parametric and symmetric equations of the line through the points (3,2,0) and (- 5,0,…

A:

Q: 13) Find the points of intersecti on of the parabola and the line. y=2x^2-3x-1 and y=x+5

A: Equate the equations with each other and solve for x to find the point of intersection .

Q: A parabola of y=x^2 has been regraphed and now sits with each side plotted at (-3,5) and (3,5) and…

A:

Q: Find the coordinates of a rectangle with corner points at A: (2,4), B:(2,8), C: (5,8), and D: (5,4),…

A: We have to find co-ordinate after translating 6 units up and 2 units left

Q: how that the point (1,0,-1) is the centre of the sphere passing through…

A: Let O=(1,0,-1), A=(1,8,-8) B=(-9,0,5) C=(7,-8,-1) D=(-7,0,7) It is enough to show that…

Q: The end points of line segment 4, which lies in the xy-plane, are (-2, 5) and (6,-3). Which of the…

A: i have used the formula of midpoint of the two points and the slope point form of the straight line…

Q: Find the distance between the points whose coordinates are given (48,32),(44,20) Although i do know…

A: Find the distance between the points whose coordinates are given (48,32),(44,20)

Q: Given the equation 9x^2 + 199 + 100y = 108x-25y^2, it is verified that its center (h, k) and…

A: Given the equation 9x2+199+100y=108x-25y2

Q: what is the standard formof ellipse whose foci are f^(1)(-8,0) and f^(2) (8,0)

A:

Q: The hill has the shape of a cone, which in the XYZ system has the equation z = 4 - sqrt(x^2+y^2) A…

A: Given that hill has the shape of the cone given by z=4-x2+y2 and the tourist moves uphill whose path…

Q: Find the parabola of the form y=ax^2+b which best fits the points (1,0), (4,4), (6,8) by minimizing…

A:

Q: 19) Find the equation for the line in 3-space passing through the points (2,5,3) and (3, -3, 7)…

A:

Q: 0/ Find the Palametric equations of the line of intersection of Planes? PL= -2x+3y +7Z =-2…

A:

Q: Find the point on the sphere x²+y²+z²=5184 that is farthest from the point (-8,9,-15). ( )

A:

Q: had a question regarding how to find the point on a sphere nearest to other points. I was given…

A:

Q: y -1 Q2) L, =Xx2 = -1 - 2 Fand equation of plane Canternng them

A:

Q: Find the scalar equation of the plane that contains the line x+1 -3=. and is parallel to x+2=+4_:+2…

A:

Q: the midpoint of line segment with end points (-1,6,2) and (3, 2, -4) What is the distance between B…

A:

Q: The following line intersect with the xz-plane. What is the point? x = -2; y = 4+2λ; z = −3+2

A:

Q: Find the point on the sphere x^2+ y^2+ z^2= 9 farthest from the point (-1,-1,1).

A: To find the point on the sphere  that is farthest from the point , we can use the property that the…