Q. Let X = {m,n}, and = {ø, X, {m}, {n}}. Define the function u:)- [0, 0) by 3 if n E A 10 if n¢ A a. p is a measure and u({m, n}\{n}) = 0 H (A) = { then b. u is not a measure. c. Hn is a measure and u({n}\{m}) = 3 d. None of these.

Q: 3. An industrial fly-wheel turns so that it is modeled with the function: 2л -t|+15, where h is in…

A:

Q: following must be true?

A: As per the definition of function if f(a) = f(b) then a must be equal to b.   In given question f(a)…

Q: Given the function f (x,y) =- Vx+y² which ONE of the following statements is CORRECT? O A. f is only…

A: Given function: f(x,y)=5x+y2 To find: Correct option

Q: let f (x) = -, over the interval 0<x<2n , find b . 1 - .a O 1 .b O 1 .c O 1 .d O

A: given function is                                              f(x)=x2, 0&lt;x&lt;2π we have to find…

Q: f. Find P(X ≤ 5.89) g. Find P(X ≥ 4.59) h. Find P(4.39 ≤ X ≤ 5.60)

A: Given From given graphMean(μ)=5.2standard deviation(σ)=0.5

Q: consider set a and b with |A| = 9 and |A| = 20 a. how many functions f : A -> B are there b. how…

A: Given set A and set B with A=9 and B=20 (a) We have to find the number of functions f:A→B. The…

Q: a) Determine the intervals on which f is concave up and concave down. f is concave up on: f is…

A: When f''&gt;0 then function cancave up  when f''&lt;0 then function cancave downward

Q: For what value of x does the function g(x) 1 + 2x convex? 3 A. В. X < 2 С. D. x21

A:

Q: Which of the following are trees and which are forests? F R H P H I A: Is a forest A: Is a tree OC:…

A: To find: the given graphs are tree or forest.

Q: 4. Which point in the graph is the function continuous? c. 5. What interval is the graph above…

A: 4. point "d" is continuous because it left and right side values are equal to eachother and to d…

Q: Consider sets A and B with |A| = 14 and |B| = 19. a. How many functions f : A → B are there? b. How…

A:

Q: Q. Let X = {m, n}, and = {6, X, {m}, {n}}. Define the function Hn:E- (0, o0) by %3D Hn(A) ={ 3 if n…

A: measure theory

Q: 1. Which of the following diagrams represent a function? Let X={1,2,3,4}X={1,2,3,4} and Y={a,b.c.d}.…

A: Given, X={1,2,3,4} and Y={a,b,c,d} . To find which of the diagram represent the function .

Q: Exercise 8.6.10. Let A = {1,2, 3, 4}, B = {a, b, c, d}, and C = {, 0, ♡, The sets of ordered pairs…

A: The given is related to composition of functions. The solution to the given question is explained…

Q: EXERCISE 1.1. Show that replacing 'rectangles' with 'squares' or 'balls' in the definition of a set…

A: We need to prove that replacing 'rectangles' with 'squares' or 'balls' in the definition of a set of…

Q: 16. Of all numbers whose sum is 340, find the two that have the maximum product. A. 10 and 330 B.…

A: Let one number be x and the other number y, then                x+y= 340       ⇒  y=340-x…

Q: Select the term that best completes the sentence: The function f(x) = has a(n) at a = 0. a) O sharp…

A:

Q: E = {e e> 4} Vrite set E using interval notation.

A: Given that E={e/e&gt;4 or e=4}

Q: Consider sets A and B with |A| = 8 and |B| = 21. %3D a. How many functions f: A → B are there? b.…

A:

Q: What is the volume of the body of rotation formed by rotating the region bounded by the function y =…

A: Let us consider the given curve y=f(x) The volume of the solid of revolution about x-axis is…

Q: 18. Use the vertical line test to determine if y is a function of x in the graph. Which of the…

A: The given problem is to check the given figure is the function of x or not using the vertical lines…