We know [n] = {1, 2, - . , n}. Let A = [8], B = {x € A : x > 5}, and C = {x € 1 (D

Q: dx Evaluate f- +1) using the Cauchy principal value.

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Q: find m<WVU

A: Since XWVU is a parallelogram so UV || XW ∠UVX = ∠VXW =17

Q: Find div(V), where V= (x²+y² + z²)¯²(-3x, -3y, –3z].

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Q: If f(x) = x2, what is the ordered pair for x = 7 ? %3D O (7,21) O (7,49) O (7,9) O (7,14)

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Q: √√7+X + find x + 2-X + 14-5X-x2 = x + 2 x+9

A: We need to solve the equation: 7+x+2-x+14-5x-x2=x2+x+9.

Q: 5. Which of the has a domain of (-o, +c0)? a. f(x) = x b. f(x) = x2 c. f(x) = x d. f(x) = x*

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Q: 2. h(x) = x² 4, evaluate at x = 4, 8, 11 and %3D %3D

A: The function is h(x)=x2-4

Q: If x>Q3 + 1.5 X IQR then x is an

A: We call a data point an outlier if it lies 1.5 times IQR below the first quartile (Q1) or 1.5 times…

Q: 2. In the memorable cricket match between Bangladesh and Pakistan in the World Cup 99 that…

A: We have to find the value of x in the given question.

Q: Let f = {(-3,-4),(9,4),(4,5)}. Find f(4).

A:

Q: Express x XOR y with only AND, OR and NOT.

A: We can write-                    x OR y = NOT (  NOT x   AND   NOT y )

Q: if fcx) = _X then f (-1) is: |-X

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Q: Evaluate xe dp- X6 (x +1)*

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Q: f|A| = 9 and |B| = 3, what is |AU B| + |An B|?

A: Given: A=9 and B=3. To find: A∪B+A∩B Formula Used: The relationship between the union and…

Q: If f(x) = x2 – 6x and g(x) = 6 – x³, evaluate the following. %3D a. (f+ g)(- 2) b. (g - )(- 4) c. (f…

A: The given functions are f(x)=x2-6x  &amp;  g(x)=6-x3

Q: Let A= {x;x1}

A: We have to find  statement is true or false...

Q: Find g(-2) if g(x) = 4x + 3. a. 19 b. -11 c. -8 d. -5

A: Consider  g(x) = 4x + 3

Q: a. (f+g)(-4)

A:

Q: 2. define the functions f(x1, x2) = x1x2 the largest and smallest value in the set x12 + 4x22 = 8.

A: Given function is fx1, x2=x1 x2   To determine: The largest and smallest value in the set…

Q: :Find values of x if 2 1 2 = 0 1 2 13 6.

A: Let the given matrix be A, Given, |A| = 0

Q: Find dz implicitly of the relation r + y³ = 3ry.

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Q: b.) 3x-2y < 12

A:

Q: e x + > 2 , x 0

A: The given equation isx+1x&gt;2x≠0

Q: y =x*In x -x3

A:

Q: Example. If A(x) = 2* , find f(0), A3), and A-4).

A: According to the guidelines, I am answering first question. Please repost the remaining. Explanation…

Q: If 0<x<4 then a < 6x + 2<b   a= b=

A: In this question, we need to find the values of a and b.

Q: {(-5, 7), (-6, -8), (1, -2), (10, 3) }

A:

Q: Show that [-3,0]| = |[-2, 7].

A: We say two sets have the same cardinality if there exists a bijection between the two sets.

Q: If f(x) = 3x + 2, and * g(x)=x +x - 2 , find gof.

A:

Q: Prove that x -2x+2>0 for value of x.

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Q: Let f = {(- 2,1),(1, - 1)} and g = {(-2, - 4),(3,0),(5,6)}. Find f+g and its domain.

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Q: +9. -3 if f(z) = -1 if -4 if > Next Question

A: From the graph, find the value of x so that value of f(x) is satisfied.

Q: Let X represent the difference between the number of heads and the number of tails when a coin is…

A: Given that: Total number of times a coin tossed, n=36 To find: Probability of getting the difference…