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: 2. Determine the power set p(A) = {{a, b}, {c}, {d, e, f}} 3. Suppose A = [7, e,0} and B = (0,1}.…

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Q: Let c, fand g be positive numbers such that c + 1. log. fg = log. = log. fº

A: Definition used -               log (m×n) =logm+lognlogmn=logm-lognlog mn=nlogm

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: Prove the product rule by use of ΔA=w⋅Δh+h⋅Δw+Δw⋅Δh

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Q: It is given that the Roll's theorem holds for the function f(z) = + ar + bar, 15 52 at a point c .…

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Q: Q. 5 Given that A and B are independent with P(AUB) = 0.8 and P(B)= 0.3, find P(A).

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Q: 1.4 For which values of a €R is the function ax? f(r + iy) = (a²r - ary) +i + ay ) 2 tire funetion

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Q: A [(0,6) U (7, 12)]n (2,9; B= A\({1,2, 4} U (3, 5)) and C = BU{11, 8}. Give an explicit and fully…

A: This is a problem of point-set topology.

Q: -1 1 Then, |A|l1= 1 -2 Let A= Select one: a. 4 b. 2 C. 3 d. 1

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Q: 31. Letf(x) = [x²/3]. Find f(S) if a) S = (-2,-1, 0, 1, 2, 3). b) S = {0, 1, 2, 3, 4, 5). c) S = {1,…

A: 31. Given the function is                            f(x)=x23.

Q: a. What is p(t)=  b.By using the function from part a, what is the answer in integer ?

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Q: Find ||v||. v =i - j + k

A: In the dot product of two vectors, we have to multiply the corresponding components of vectors. The…

Q: Let D = {-2, -1, 0, 1}. Let E = {0, 1, 2, 3}.

A: Answer

Q: Directions: Compute for the x, &, and (x, - 8). Return Year Stock Price (x, - x)2 30/01/2019…

A: Given the data as Year  Stock Price 30/01/2019 316 28/02/2019 307.8 31/03/2019 317…

Q: 7. Find the function U, whose first difference is *C

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Q: Assume that a manufacturer has productivity function P(l, c) where I and c are the amounts of labor…

A: given  productivity function=p(l,c) l=amount of labor and  c=amount of capital utilized

Q: 11) 20 16 12 10 12 14 16 x A. increasing: B. decreasing: F. Find x when f(x) = 0: G. Find f(14)

A: The graph of the function is To determine: A. Interval where the function is increasing.B. Interval…

Q: Find numbers m and M Such that m<f'(1)< M figure in (1.4,1.3) l1,2 (1.6, 1,4) +

A: Given: The graph of f as  To find: The numbers m and M such that m&lt;f'1&lt;M

Q: let A= [. find||A||1 1 5 Select one: а. 6 O b. 8 С. 3 O d. 2

A: let A=23-15   find A1

Q: (3–x*) ane d 2x. Calculate the Wronskian of functions

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Q: Which function is best represented by the graph to the right? 8 A y=-2x +3 -4 B y=-2x + 6 9-8-7 -1…

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Q: Q2l find the Least-squargs fre Line y=f) - AX+B for the followingdato 2. Ук

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Q: Find the distance between m [-2, 3, 2,0,3, – 13, –5] and n = [4, –1,1, –5, 0, 11, –3].

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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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A: The question asks for the missing values X and Y, which represent the profit for Q3 and Q2 of 2002…

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: Let g be the function from S = {0,1,2,3,4} to the whole numbers W given by the formula g(x) = 10 –…

A: Given,         Let g be the function from S=0,1,2,3,4 to the whole numbers W given by         the…

Q: Find the function of Inverse U-12 シ f) 13 21+15 3

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Q: For which values of a ER is the function f(r + iy) = (a²x – axy) + i ax? + ay %3D an entire…

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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.