Q. Let X = {m, n}, and = {6, X, {m}, {n}}. Define the function Hn:E- (0, o0) by %3D Hn(A) ={ 3 if n e A 0 if n A %3D then a. Hn is a measure and u({m, n}\{n}) = 0 b. Hn is not a measure. c. Hn is a measure and u, ({n}\{m}) = 3 d. None of these.

Q: f(x, 3, z) = 3x In(x?yz) + æi For the function, match the following. yai-1 In æ -1 3. A. - 1 B. 3…

A: Given: f(x,y,z)=3xln(x2yz)+xyz

Q: 25 Consider ( 25 )-) 8. y The value of x is given by_ and of y is given by

A:

Q: Which of the following relation y = f(x) represents a function? %3D O 11r = 4y? – 19 - O 11r 4y? +…

A: We need to check if for any x we get one y or more than one y's.

Q: 4. Function f was transformed using f(bx) as shown below. Find the value of b. -1 -2 -3 .4 -5 %3 1…

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Q: 3 find the values of B. Given the following functions: f(x) = 3x + 2; g(x) = 3x² + 2; and h(x) %3D…

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Q: The function f(x) = 2x + 1 is defined over the interval [2, 5]. If the interval is divided into n…

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Q: 8. Let A = {Al, Beth}and B = {up, down, left, right}. Fine %3D

A: # we are entitled to solve one question at a time, please resubmit the other questions if you wish…

Q: f as a composite function. Activity A.12. Let A = {1, 2, 3), B= {a, b, c, d}, and C= {(s, t). Define…

A: To find the solution of the parts we have to find the functions f*h and g*h. The detailed solution…

Q: 42x+10 b.4r nd rules for these t-tables: 10 47 6. 41 5. 21 22 100 405 10 31 2 2. 13 3. 17 100 497…

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Q: is The range of the function f(x)%= 3cos(x)+5 Select one: O a. [-3,5] O b.[-1,1] C. d.

A: The range of the function is the set of all values that f(x) takes.

Q: T T T F 57. For each natural number n, 4 divides (5″ − 1). F 58. For each natural number n, 2+ 4…

A:

Q: X = {p, q, r, s} Y = {4, 5, 6, 7, 8} The function f: X → Y is defined as: f = {(s, 8), (r, 8), (q,…

A: We want to find elements in the range of function f.

Q: Let A, B, and C be the following sets A = {1,2,3,4}, B = {x,y,z}, C = {a,b,y,d,e}. Let ƒ: A → B and…

A:

Q: Q: Find the gcd (a, b) and find two integers x and y suchthat gcd(a, b) = ax + by. Ex.(i): a = 901…

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Q: 口[ A 9. Fill in the table of values. f(x) > V+2 2 f(x) = Vx+2 -3 -2 -1 6. a. 1 b.-2 С. -1 d. 2 e. 3…

A: A

Q: X = {p, q, r, s} Y = {4, 5, 6, 7, 8} The function f: X→ Y is defined as: f = {(r, 7), (s, 8), (p,…

A:

Q: Let A = {a, b, c, d} and f = { (a, 0), (c, 12), (d, 18), (b, 12) }. Is f a function from A to B ?…

A: Given, A = {a,b,c,d} f = {(a,0) , (c,12) , (d,18) , (b,12)}

Q: Consider the function f(x)=exp(x). Let p=P₂ be the interpolation polynomial for the data x=(0,1/2,1)…

A: Given data set is as follows x=(0,1/2,1) and y=e0,e1/2,e1. To Find: The value of s=∫01pdx where p∈P2…

Q: Define the function Hm : [0, 00) by 2 if me A 1 if m¢ A Hm (A) = then Hm is not a measure. b. Hm is…

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Q: 1. Find the domain of the function. f(x) = 9(x + 9) %3D What is the domain of f? O A. (-0,0)U(0,0) O…

A: It is easy to see that the function is defined for all x.

Q: X = {a, b, c, d} Y = {4, 5, 6, 7, 8) The function f: X→ Y is defined as: f = {(a, 6), (d, 5), (b,…

A: Given: The function  is defined as:We have to find(i) What is  ?(ii) Select the elements that are in…

Q: The domain and the range of z=cosh x+y are represented respectively by O A. D = { (x,y) ER X R: y 2…

A:

Q: 7:57 Yill 80% 29:51 In the following question, one or two equation(s) is/are given. On their basis…

A: Equation I10x2−7x+1=0⇒10x2−5x−2x+1=0⇒5x(2x−1)−1(2x−1)=0⇒(5x−1)(2x−1)=0∴x=1/5,1/2Equation…

Q: Let A = {2,4} and B = {1,3, 5}. Which one of the following relations, T, U,V, or W, from A to B is a…

A: Given below the detailed solution

Q: Q: Find the denvatives of the following functions. i) 20( )

A: Use the chain rule of derivation.

Q: et V be the set of all ordered pairs of real numbers. Let and O be the operations on V defined y…

A: ANSWER :

Q: 3. Let = (₁, ₂) and 7 = (v₁, v₂) and let ||u|| = 2 and ||v||= 2. (a) Find the smallest and the (b)…

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Q: What is the vertex of the function f(x) = (x- 1)2- 5? O (-1, -5) O (1, -5) O (-5, 1)

A: Given:          f(x) = (x-1)2-5 Let               y = f(x)Then               y =  (x-1)2-5→If you…

Q: Evaluate the function. 2. Find h(3,6) when h(x,y) = 3x +y J3x+y O A. 9 O B. 10 O C. 3/5 O D. 5/3

A: We have given function  hx,y = 3x+y2 Put x = 3 , y = 6 h3,6 = 3×3+62 h3,6 = 9+36 h3,6 = 45 h3,6 = 35

Q: 2. What is the count of a. all possible functions F:{0,135 (0, 13º ? b. All possible functions…

A: Disclaimer: Since you have posted a question with multiple sub-parts, we will solve the first three…

Q: Which function has a restricted domaln? 1(+) = (32) – 4 O B. h(1) = (4r)² - 5 O A. %3D k(x) = (-x +…

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Q: Z is the set of integers, R is the set of real mumbers. 1. Functions f, 9, and h are defined as f:R…

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Q: 6. Which of the following function lal are NOT linear function? L y= 7x -1 IL. y- m. y = 6 IM. y-…

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Q: Let x x. 2) = x²(x-2)-4. Compute (7, 8, 5). What is the first step in computing f(7, 8, 5)? OA. Find…

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Q: A {a, b, c, d} X [1, 2, 3, 4} The function f:A→X is defined by the arrow diagram below. Select the…

A: We have to select the pairs that defines a function.

Linear Algebra

In mathematics, problems can be solved by the arithmetic operators like addition, subtraction, multiplication, and division. In algebra, we represent the numbers by any letter called a variable. If these variables are of degree 1, then it is studied under linear algebra. The first-degree equations involving algebraic expressions are called linear equations. That is, if you represent it by drawing a graph you will get a straight line.