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:
Answer rating: 66% (9 reviews)
First note that the point 1 1 2 is on both surfaces The ell...View the full answer
Answered By
Utsab mitra
I have the expertise to deliver these subjects to college and higher-level students. The services would involve only solving assignments, homework help, and others.
I have experience in delivering these subjects for the last 6 years on a freelancing basis in different companies around the globe. I am CMA certified and CGMA UK. I have professional experience of 18 years in the industry involved in the manufacturing company and IT implementation experience of over 12 years.
I have delivered this help to students effortlessly, which is essential to give the students a good grade in their studies.
3.50+
2+ Reviews
10+ Question Solved
Related Book For
Question Posted:
Students also viewed these Mathematics questions
-
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...
-
Which of the following is not a typical housekeeping task? a. Displaying instructions b. Printing summaries c. Opening files d. Displaying report headings
-
Using an incremental internal rate of return (IRR) analysis, the decision to replace the "current best" by the "challenger"' is based on what decision rule? a. The internal rate of return of the...
-
The general ledger of Red Storm Cleaners at January 1, 2015, includes the following account balances: The following is a summary of the transactions for the year: a. Sales of services, $60,000, of...
-
e3z (i) Find all the poles of the function f (z) = and plot them on 22(22 +22+2) (ii) an Argand diagram. Hence evaluate the integral of (2) dz, writing your solutions in the form a + jb where a and b...
-
It took a long time but the Securities and Exchange Commission finally acted and held auditors responsible for the fraud that occurred in banks during the financial recession. Surprisingly to some,...
-
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.
-
The following information was taken from the balance sheet of Laribee Company (amounts are in thousands of dollars): Current liabilities* ............................ $ 24,480 Long-term debt...
-
Develop a brief that discusses how the flooding of a major state route in the city of Akron, compares to the administrative problem of accurately determining eligibility and the amount of benefits...
-
Because it is unlikely she will be able to visit you this year, your wealthy American aunt wants to send you a present for your birthday. You expect she will give you USD 4813 in 2 months. Having...
-
A Python code that collects final grade scores from users. You can keep a minimum of 3 users entering final grades. Now calculate the mean and based on the mean return the final letter grade as per...
-
Assess warehousing location of BEST and its appropriateness. What factors should be taken into consideration when determining the appropriate number of warehouses?
-
Write a C program to find area of rectangle (Ar) and find value of 'y', y=x+2x+x-2 Note: Area of rectangle(Ar)-L*W, assume any values for L, W, and x. Use proper math function wherever required.
-
Windham Industries has an annual plant capacity of 80,000 units; current production is 65,000 units per year. At the current production volume, the variable cost per unit is $40.00, and the fixed...
-
Catherine (aged 42) and Johnson (aged 45) have been married for 12 years. Johnson is a project manager of an event company at a monthly salary of $55,000 with an additional one-month salary of...
-
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...
-
Sapsora Company uses ROI to measure the performance of its operating divisions and to reward division managers. A summary of the annual reports from two divisions is shown as follows. The companys...
-
The company applies overhead cost to jobs on the basis of machine-hours. For the current year, the company estimated that it would work 42,000 machine-hours and incur $191,100 in manufacturing...
-
Explain performance management and the roles it plays within an organization. Describe a performance appraisal process and assess the importance of performance appraisals in an effective performance...
Study smarter with the SolutionInn App