Show that the ellipsoid 3x 2 + 2y 2 + z 2 = 9 and the sphere

Question:

Show that the ellipsoid 3x² + 2y² + z² = 9 and the sphere x² + y² + z² - 8x - 6y - 8z + 24 = 0 are tangent to each other at the point (1, 1, 2). (This means that they have a common tangent plane at the point.)

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For book-img-for-question

Calculus Early Transcendentals

ISBN: 978-1285741550

8th edition

Authors: James Stewart

See More Books

Question Posted: Apr 10, 2019 08:56 AM

Show that |exp(z2)| exp(|z|2).
Show that the two expressions are equivalent. 1. 4x2 + 6y2 / 10 x2 / (1/4) + 3y2/5 2. 4x2/14 - 2y2 = 2x2/7 - y2 / (1/2) 3. 25x2 / 36 + 4y2 / 9 = x2 / (36/25) + y2 / (9/4)
(a) Show that the parametric equations x = a sin u cos v, y = b sin u sin v, z = c cos u, 0 < u < , 0 < v < 2, represent an ellipsoid. (b) Use the parametric equations in part (a) to graph the...
Why would an organization use outplacement strategies before downsizing? Outplacing employees helps former employees develop new skill sets. Outplacement strategies are a means of eliminating problem...
The income statement of Munsun Company is presented Additional information: 1. Accounts receivable decreased $380,000 during the year, and inventory decreased $300,000. 2. Prepaid expenses increased...
Two channels have the same cross-sectional area, but different geometry, as shown. a. Which channel has the largest wetted perimeter? b. Which channel has more contact between water and channel wall?...
1 What are the main business processes in Tesco that are crucial to satisfying customer requirements?
On January 1, 2021, the general ledger of 3D Family Fireworks includes the following account balances: During January 2021, the following transactions occur: 1. January 2 Provide services to...
Summer Company holds assets with a fair value of $125,000 and a book value of $81.000 and liabilities with a book value and fair value of $24,000 Required: Compute the following amounts if Parade...
Open the Orders Solution.sln file contained in the VB2017\Chap03\Orders Solution folder. The interface provides a button for adding the number ordered to the total ordered, and a button for...
Are there any points on the hyperboloid x 2 - y 2 - z 2 = 1 where the tangent plane is parallel to the plane z = x + y?
Show that every plane that is tangent to the cone x 2 + y 2 = z 2 passes through the origin.
Innovations Corporation is preparing its statement of cash flows for the past year. The company has gathered the following information about the past year just ended on December 31. Requirement...
Describe in your own words how you would expect the data points on a scatterplot to be distributed if the following features were present (i.e. for each part, explain how the feature would look on a...
imagine this experimental setup: One temperature probe is in embedded in a small block of frozen sugar water at -20. The frozen sugar water is in a small test tube The melting/freezing point of this...
Question 2: (40 points: 10 each) During September, Sweet Foods manufactures a single product. The Company's material purchases amounted to 9,000 pounds at a price of $9.80 per pound. Actual costs...
E12-23 (Algo) (Supplement 12B) Preparing a Statement of Cash Flows, Indirect Method: T-Account Approach [LO 12-S2] Golf Goods Incorporated is a regional and online golf equipment retailer. The...
A symmetric compound channel in over bank flow has a main channel with a bottom width of 30 m, side slopes of 1:1, and a flow depth of 3m. The floodplains on either side of the main channel are both...
Listed below are the ages of the Presidents of the United States at the times of their inaugurations. Construct a 99% confidence interval estimate of the mean age of presidents at the times of their...
Prove the following D,(cos x) = - sin x (Hint: Apply the identity cos(A + B) = cos A cos B sin A sin B)
f(x) = 2x + 3 and h(x) = -3x - 12. For each of the above products of functions, graph each component piece. Compute the value of the product at x = -2, x = -1, x = 0, x = 1, and x = 2 and graph the...
F(x) = x2+ 1 and G(x) = x + 1. For each of the above products of functions, graph each component piece. Compute the value of the product at x = -2, x = -1, x = 0, x = 1, and x = 2 and graph the...
F(x) = x2 + l and H(x) = -x + l. For each of the above products of functions, graph each component piece. Compute the value of the product at x = -2, x = -1, x = 0, x = 1, and x = 2 and graph the...
During the month of September,the Cider Pressing Company is trying to determine how much cider they are going to sell in October and November. One gallon of cider typically sells for $7 per gallon....
This is very confusing please help with descriptions if possible. Complete this question by entering your answers in the tabs below. Prepare a master budget for the three-month period ending June 30...
Doug recibe un dplex como regalo de su to. La base del to para el dplex y el terreno es de $90,000. En el momento de la donacin, el terreno y el edificio tienen un FMV de $40 000 y $80 000,...

Show that the ellipsoid 3x 2 + 2y 2 + z 2 = 9 and the sphere

Question:

Step by Step Answer:

First note that the point 1 1 2 is on both surfaces The ell...View the full answer

Calculus Early Transcendentals

Students also viewed these Mathematics questions