Question: If f, g : Rn R, prove that spt(fg) spt f spt g.

If f, g : Rn → R, prove that spt(fg) ⊂ spt f ∩ spt g.

Step by Step Solution

★★★★★

3.34 Rating (157 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock

If fgx 0 then fx 0 an... View full answer

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

Document Format (1 attachment)

Word file Icon

741-M-N-A-D-I (729).docx

120 KBs Word File

Students Have Also Explored These Related Numerical Analysis Questions!

Q:

Suppose that a R, that is a nonempty subset of R, and that f, g : E R are uniformly continuous on E. a) Prove that f + g and f are uniformly continuous on E. b) Suppose that f, g are bounded on E....

Q:

Suppose that fn f and gn g, as n , uniformly on some set E R. a) Prove that fn + gn f + g and fn f f, as n uniformly on E for all R. b) Prove that fngn fg pointwise on E. c) Prove that if...

Q:

Suppose that E is a Jordan region in Rn and that f, g: E R is integrable on E. a) Modifying the proof of Corollary 5.23, prove that fg is integrable on E. b) Prove that f g and f g are integrable...

Q:

1. If f, 9 : Rn -+ R, prove that spt (f g) ~ spt f n spt g.

Q:

# 7 (chapter 5)(40 points, Due on Friday November 11) Question 1. [3 points each] Use the definition of Limit of functions to prove that x2 2 . 5 5 2 lim x 3 x 1 1 (B) x 1 (A) lim x 0 if x 2 2x (C)...

Q:

6. Let A = {x E Z |x 2 5a + 2 for some integer a}, B = {y E Z | y = 10!) 3 for some integer b}, and C = {z E Z | z = 106 + 7 for some integer C}. Prove or disprove each of the following statements....

Q:

2. (Statements about limits. ) Three statements are given below. Determine which statements are true and which are false. Prove the true statements, and disprove the false statements by giving...

Q:

Let c be a limit point of A C R, f, g: A -> R be two functions. Prove or disprove the following. (i) If f + g has a limit at c, then f and g has limit at c. (ii) If the product fg has a limit at c,...

Q:

HW 12, MAT 312/AMS 351: SPRING 2017 Problem 1. (1) Set H = {4a + 6b | a, b Z} Z. Show that H is a subgroup of Z. (2) Is H cyclic? Problem 2. Write down all the cyclic subgroups of the following...

Q:

Consider the trigonometric series a0 2 + X r=1 (ar cos rx + br sin rx) where a0, a1, a2, . . . and b1, b2, . . . are constants and suppose that f(x) is a periodic function of x with period 2. (a)...

Q:

Let A be a set and I an index set where, for each i I, Ri is a relation on A. Prove or disprove each of the following. (a) is reflexive on A if and only if each Ri is reflexive on A. (b) is reflexive...

Q:

The equity accounts of Marya SA on January 1, 2017, were as follows. Share Capital-Preference (9%, 100 par, cumulative, 5,000 shares authorized) Share Capital-Ordinary (3 stated value, 300,000 shares...

Q:

Venture capital firms typically receive at least _ _ _ _ _ _ _ _ _ _ blank percent of a start - up company's equity in exchange for the venture capital. Multiple Choice 3 0 1 5 1 0 4 0 2 0

Q:

If the null hypothesis is rejected, did we reach significance?

Q:

Disks of polycarbonate plastic from a supplier are analyzed for scratch and shock resistance. The results from 100 disks are summarized as follows: Shock resistance High Low Scratch high 70 9...

Q:

Samples of a cast aluminum part are classified on the basis of surface finish (in micro inches) and length measurements. The results of 100 parts are summarized as follows: Length Excellent Good...

Q:

Samples of emissions from three suppliers are classified for conformance to air-quality specifications. The results from 100 samples are summarized as follows: Conforms Yes no 1 22 8 Supplier 2 25 5...

Q:

Please address the following items using the attached screenshots.Be sure to answer the questions about both confidence intervals and hypothesis testing. In the Python script, you calculated the...

Q:

Ace Investment Company is considering the purchase of the Apartment Arms project. Next years NOI and cash flow is expected to be $2,000,000, and based on Aces economic forecast, market supply and...

Q:

4. Sam is developing a business plan for starting Pizza business in Waltham. Sam specializes in pepperoni pizza. Based on the secondary data he has found out that there are 20,000 families in the...