Show that any tangent plane to the cone passes through the origin. z = ax + by

Question:

Show that any tangent plane to the cone

passes through the origin.

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

Step by Step Answer:

Related Book For book-img-for-question

Calculus

ISBN: 9781285057095

10th Edition

Authors: Ron Larson, Bruce H. Edwards

See More Books

Question Posted: Apr 01, 2023 12:35 AM

See More Questions

Show that the equation of the tangent plane to the ellipsoid x2 / (2 + y2 / b2 + z2 / c2 = 1 at (x0, y0, z0) can be written in the form x0x / (2 + y0y / b2 + z0z / c2 = 1
= is a so- 3. 14.3: Second Partial Derivatives: Verify that the function u(x, y, z) = 0 everywhere, except of x+y+z lution of the three dimensional Laplace equation Uxx + Uyy + Uzz course at the...
Show that the tangent plane to the surface z = x - y at (3,3,0) intersects the surface in two perpendicular lines.
make a stored procedure called projects_at_this_location that receives a location and returns the projects (if any) at that location as shown in the following sample run: (2 points) exec...
Quebec Super cheese Company (QSC) produces many varieties of cheese that are sold in every province in Canada, mainly through large grocery stores and specialty cheese shops. The cheese is produced...
Determine the values for x for which the radicals represent real numbers. (x-4)(x + 1)
You are working on charge-storage devices for a research center. Your goal is to store as much charge on a given device as possible. The facilities allow you to generate almost any potential...
SConnor Corporation sells products for $25 each that have variable costs of $13 per unit. Connors annual fixed cost is $264,000. Required Use the per-unit contribution margin approach to determine...
16. 17. The IUPAC nomenclature of an element with electronic configuration [Rn] 5f46d17s is: (a) Unnibium (b) Unnilunium (c) Unnilquandium (d) Unniltrium The compound(s) that is (are) removed as slag...
Find an equation of the tangent plane to the surface at the given point. (x, y) = 25 - y, (2, 3, 4)
Find an equation of the tangent plane to the surface at the given point. z = -9 + 4x - 6y - x - y, (2, -3, 4)
What statement would you use in an HTML document to display the text My Web Page in the browsers title bar? What section of the HTML document would this statement be written in?
On March 1 , 1 9 9 3 , Elwood deposited $ 4 , 2 0 0 into a bank account. The account credited interest at a nominal interest rate of 4 % per year, compounded quarterly, when the balance was under $ 5...
A taxpayer has $5,000 in cash donations to various charitable organizations during the year. $2,000 of these are not substantiated with a contemporaneous written acknowledgement from the donee...
Commercial Carpets manufactures custom mats. The details on its standard run of a 1 m x 2 m mat is as follows: Quantity Unit Selling Price Unit Variable Cost Fixed Costs 3 2 0 $ 5 6 $ 3 1 $ 1 , 9 0 0...
In an X-ray powder camera using incident copper radiation of wavelength 1.5418 , a diffraction line is produced at 20= 45.8. determine the miller indices for the reflecting planes if a = 3.44 .
A taxpayer gets into rocky straits with their spouse and begins the process of filing for divorce, choosing to file separately for TY2023. The taxpayer initially begins as the sole owner of their...
Five cards are dealt from a standard 52-card deck. What is the probability that the sum of the faces on the five cards is 48 or more?
Write electron configurations for the following ions, and determine which have noble-gas configurations: (a) Cd2+ (b) p3- (c) Zr4+ (d) Ru3+ (e) As3- (f) Ag+
Evaluate the following integrals. 6 (? " style="" class="fr-fic fr-dib"> dx (x 36)/2" > 6 (?
Evaluate the following integrals. dx 16 x
Evaluate the following integrals. dx (81 + x)
1: An employee works 42 hours (42-40 were overtime hours) during a workweek in December of 2023. He earns $40.50/hour, with his employer paying 1.5 times the regular rate of pay for overtime hours....
Dell Incorporated is the leading manufacturer of personal computers. In a recent year, it reported the following in millions of dollars: Net sales revenue Cost of sales Beginning inventory Ending...
A construction company entered into a fixed-price contract to build an office building for $22 million. Construction costs incurred during the first year were $6 million, and estimated costs to...

Show that any tangent plane to the cone passes through the origin. z = ax + by

Question:

z² = a²x² + b²y²

Step by Step Answer:

Fx y z ax by 2 Fx y z 2ax Fx y ...View the full answer

Calculus

Students also viewed these Mathematics questions