Answered: Find an equation of the sphere…

College Algebra

10th Edition

ISBN:9781337282291

Author:Ron Larson

Publisher:Ron Larson

Chapter4: Rational Functions And Conics

Section4.4: Translations Of Conics

Problem 5ECP

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Find the equation of sphere that passes through the point (-2, -8, -2) and centered at (8, 7, 8). Take note that x^2 refers to x?. .(x- 8)^2 + (y - 7)^2 + (z - 8)^2 = 20.6 o b. (x + 8)^2 + (y + 7)^2 + (z + 8)^2 = 20.6 o . (x - 8)^2 + (y - 7)^2 + (z - 8)^2 = 425 o d. (x + 8)^2 + (y + 7)^2 + (z + 8)^2 = 425
By completing the square, put the equation ²-64y²+z²+42-16z = -68 Into the standard form a(x-xo)2 + b(y-yo)² + c(z-zo)²=d. Then, use your answer to sketch a graph of this quadric surface on paper. 00+00+00-0
Consider the paraboloid given by the equation z = x^2 + y^2. Find the coordinates of the vertex and the focus of this paraboloid.
Find the point on the ellipse x² + 6y² + 3xy = 40 with the greatest x-coordinate. (Use decimal notation and fractions where needed. Give your answer as the coordinates of a point in the form (*,*).) (x, y) =
Find the parabola of the form y=ax^2+b which best fits the points (1,0), (4,4), (6,8) by minimizing the sum of squares, S, given by S=(a+b)^2+(16a+b−4)^2+(36a+b−8)^2.
Find the center and radius of the sphere: 3x² + 3y² + 3z² - 6x - 12y + 18z + 150 O - Center (1, 2, 3); Radius = 3 Center (1, 2, 3); Radius = 1 - - O Center (-1, - 2, 3); Radius = 1 O Center (-1, - 2, 3); Radius = √3 O none of these
Identify the quadratic surface of the equation 6x2 + 3y? + 2z2 + 24x – 6y – 12z+ 39 = 0 Choose an option: O one-leaf hyperboloid O ellipsoid O cylindrical surface O elliptical paraboloid cone-shaped surface O two-leaf hyperboloid O hyperbolic paraboloid O spherical surface
Consider the parabola y=ax^2+bx+c, where a, b, and c are constants. (a) Determine the vertex form of the parabola. (b) If the vertex of the parabola is at the point (1,−3) and it passes through the point (3,5), find the values of a, b, and c.
Complete the square method: Show all your work! Put x² + y² 10x + 6y 15 = 0 in center radius form. Identify its center: Ans.(x - 5)² + (y + 3)² = 49_c=(5, -3) r=7 radius length:

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Find an equation of the sphere concentric with the sphere x^2 + y^2 + z^2 + 4x + 2y − 6z + 10 = 0 and containing the point (−4, 2, 5).