Question: In Problems a-b complete the squares to find the center and ra-dius of the sphere whose equation is given. a. x2 + y2 + z2

In Problems a-b complete the squares to find the center and ra-dius of the sphere whose equation is given.
a. x2 + y2 + z2 - 12x + 14y - 8z + 1 = 0
b. x2 - y2 + z2 + 2x - 6y - 10z + 34 = 0

Step by Step Solution

★★★★★

3.42 Rating (165 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

a x 2 12x 36 y 2 14y 49 z 2 8z 16 1 36 49 ... View full answer

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Document Format (1 attachment)

955-M-C-D-E (2872).docx

120 KBs Word File

Students Have Also Explored These Related Calculus Questions!

In Problems 1-2, eliminate the cross-product term by a suitable rotation of axes and then, if necessary, translate axes (complete the squares) to put the equation in standard form, Finally, graph the...

In Problems a-b, first find the general solution (involving a constant C) for the given differential equation. Then find the particular solution that satisfies the indicated condition. a. dy/dx = x2...

In Problems a-b, a function f and its domain are given. Deter-mine the critical points, evaluate f at these points, and find the (global) maximum and minimum values. a. (x) = x2 - 2x; [0, 4] b. f(t)...

Calculus 3 Sections 12.1 and 12.2 Reading Assignment: 3D Coordinates and Vectors Answer Only Exercise 1 by using a screenshot provided Calculus Pearson textbook. Make sure you read these three...

Calculus 1 Content Covered: - Rectangular Coordinates in 3-Space; Spheres; Cylindrical Surfaces - Quadric Surfaces - Partial Derivatives - The Chain Rule - Maxima and Minima of Functions of Two...

And radius for the first one b) Find the direction of vector v. 4) Show that the equation x2 + y2 + z2 = 12x +2y represent a sphere. Find its center and 5) Find the rectangular coordinates for the...

Calculus 3 Please help me this problems and also write the numbers of each question 4. DETAILS SCALCET9 12.1.019. Write the equation of the sphere in standard form. x2 + y2 + z2 + 6x - 2y - 2z = 5...

Any help that can be given would be greatly appreciated! 1. Given f(x) = 5x -8 , find f (-4)- f(0) 2. Determine if the function f (x) =- 3x+2 is one-to-one. If it is, find f (x) . 4 3. Find the...

MAT 141 - 3 Rev '23 1) Vector U = has a terminal point at (2,-1) . Find the initial point. 2) If vector U = and vector V = , find 30 - 4V . Write your answer in the i, j, k notation. 3) Find the...

9/14/10 12:27 PM Page 321 Chapter dug84356_ch05a.qxd 5 Factoring The sport of skydiving was born in the 1930s soon after the military began using parachutes as a means of deploying troops. Today,...

Which of the following statements is true regarding variance analysis in the modern manufacturing environment? a. It requires all variances, regardless of size, to be investigated by managers. b. The...

Japan is expected to have inflation of 2% for the coming year, while the US is expected to have deflation of 3%. The spot exchange rate is yen 95/$. A Toyota made in Japan costs yen 4.75 million. a.)...

4 1 7 A tacable bond with a coupon rate of 6 . 0 0 % has a market price of 9 9 . 3 9 % of par. The bond matures in 2 0 . 0 0 years ans pays semi - annually. Assume an imvestor has a 2 2 . 0 0 %...

Economic growth and development in LDCs are low because many of them lack a. capital investment. b. technological progress. c. a favorable political environment. d. All of the answers above are...

The population of lemmings L(t) at the top of a cliff is increasing with the given formula. However, lemmings leap off the cliff at a rate equal to 0.1 L and pile up at the bottom. a. Write a...

Growth rates of insects depend on the temperature T. Suppose that the length of an insect L follows the differential equation dL/dt = 0.001T(t) with t measured in days starting from January 1 and...

Q1. Fitness data Various measures of heart and pulse rate were taken on men in a physical fitness course at N.C. State Univ runpulse: Pulse rate while running maxpulse: Maximum pulse rate rstpulse:...

Compute the following three ratios for The Home Depots year ended January 29, 2017: (i) fixed asset turnover, (ii) days to sell, and (iii) debt-to-assets. To calculate the ratios, use the Fiscal 2016...

The table of data lists input - output values for a function. Complete parts a through c . x y 1 3 3 . 2 2 8 5 . 7 4 3 8 . 2 5 8 9 . 3 7 3 1 1 . 3 8 8 1 3 . 7 1 1 0 3 1 9 . 1