Question: 1. Let a, b, c E R and let Sabe = ((x, y, z) : ax2 + by2 + cz2 = 0, x2+ y2 +22

1. Let a, b, c E R and let Sabe = ((x, y, z) : ax2 + by2 + cz2 = 0, x2+ y2 +22 = 1}. (1c) For which values a, b, c is Sabe discrete? (A set S C IR" is discrete if for each x E S, there exists & > 0 such that Be(x) nS = (x}.)

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock blur-text-image

Question Has Been Solved by an Expert!

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

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Mathematics Questions!

with these Selected character Tables may be picked for helping in calculation, if needed please answer as well as possible Q5. The following isomers were obtained for a cobalt complex. How you would...

with these Selected character Tables may be picked for helping in calculation, Q4. Construct 3x3 matrices for three vectors representing sigma bonding only. What are possible hybrid orbitals in...

1. Let a, b, c GIR and let Sab c = {(x,y,z) : ax2 + by2 + cz2 = O, x2 + Y2 +z2 = 1}. (la) For which values a, b, c is a regular surface of dimension 2?

Implement an oracle/oracle.cpp file that can be told a sequence of numbers containing every number from 1 to 1000000, except for one or two, and returns the missing number(s).2 If this seems...

Math 636 Final - Quiz Component 1. The system of linear equations 2x2 x3 = 3 2x1 + x2 + 2x3 = 1 x1 + x2 + 3x3 = 2 (a) is consistent with a unique solution. (b) is consistent with infinitely many...

All of the figures below are related mathematically because the equations used to describe each figure are similar. The general form of the equation for each is Ax2 + Bxy + Cy2 + Dx + Ey + F = 0....

Find the domain of the following function. If possible, give a description of the domain in words (for example, all points outside a sphere of radius 1 centered at the origin). f(w,x,yz) = 14-wz -x2...

01. #include cardio.h> ottaa 1/using for a fler to print the value as the given image //exe 6-10 mes the string will take it places and seas Bett aliae and rest of the spaces will be filled with...

Problem 1. Let X be a nonempty set. A partition of X is a finite collection of non-empty disjoint subsets of X, P = {X, X, ..., X}, such that X = X UX U... U Xk. We say that the positive integer k is...

logic and discrete structures sample answer for this sort of questions: (3) Determine the truth-values of the following. Give reasons. (a) Vry : x + y = 1 for x,y E Z (b) Vx,y e R+ : V= y (c) 3x Z,...

A bond is sold for $1,054.88 currently. The bond has a coupon rate of 6%, paid semi- annually and it matures in 15 years. What is the yield-to-maturity of this bond? Round to the nearest hundredth...

On January 1, 2020, Entity A acquired 90% of outstanding ordinary shares of Entity B at a price of P900,000. Entity A paid P20,000 costs related to acquisition of shares. At the acquisition date, the...

Calvin Company provided the following income statement for last year: Ex amp l e 1 5 . 6 Sales $900,000 Cost of goods sold 350,000 Gross margin $550,000 Operating expenses 270,000 Operating income...

The four types of goal that can be set up in analytics are a. Derivative, elapsed time, pages per session, event b. Destination, duration, descriptions per session, event c. Destination, elapsed...

6. How can hidden knowledge guide our actions?

7. How can the models we use have a detrimental effect on others?

2. In this chapter, the reader should reflect on the following concepts: Systemic structuring, the displaced error, the communicable part of knowl-edge, tacit knowledge, hidden knowledge, analogy,...