Let X = {1, 2, 3, 4, 5} and Y = {7, 11, 13} are %3D %3D two sets. find R = {(x, y): x E X and y E Y %3D and (y - x) is divisible by 6}

Q: By using the substitution u = 4x +1, evaluate (4x + 1) dx %3D

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Q: Saved DUndo 118% 1. Find mZJHI. KA+LB=G0° 3メ*2+12メー17=aoo (3х

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Q: 1. Find x if 1+ x + x6 + x°. .. 2. Find x if: -1 +x– x² + x³ – x* + x³. %3D

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Q: If Var(X1) = 2, Var(X2) = 4, Var(X3) = 3, Cov(X1, X2) = 1, Cov(X1, X3) = -2, and X2 and X3 are…

A: Solution

Q: Let a = (-2,3, –4)" , y = (3,-2, -5)". (a) Find ||a||1. (b) Find ||a||2- (c) Find ||y||o-

A: Given Information -  x = -23-4  and  y = 3-2-5We have to find the following - (a) x1(b) x2(c) y∞…

Q: 1. у' + у %3D 2, у(0) — 0 3. у' + Зу — 2хе- Зх 5. ху' + 2у — 3х, у(1) —D 5 6. ху + 5у %3D %3D 7x?,…

A: "Since you have asked multiple question , we will solve first question for you. If you want any…

Q: x=[-5,-4,-3,-2,-1,0,1,2,3,4,5], A= [0.45    0.61    0.75    0.88    0.96   1    0.96    0.88    0.75…

A: Given: x=[-5,-4,-3,-2,-1,0,1,2,3,4,5], A= [0.45    0.61    0.75    0.88    0.96   1    0.96    0.88…

Q: Use the following for the next 2 questions: A distribution center is to be built to support 3…

A: given that scale factor is 1 unit=200 miles market 1 is located at (4, 5) and 90000 to market 1.…

Q: y = 6 7x, y = 67u-1 7x — 1, у %3D 6" 67*, y = u+6-1 –7x, y = 6“ 6*, y = ux-1 TEXT P = V72 + 14 7, P…

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Q: Obtain characteristics y² Uxx + Uyy = O

A: Given equation is  y2Uxx+Uyy=0 Now comparing with  AUxx+BUxy+CUyy=0 We have A=y2, B=0, C=1

Q: If LEFH= (2x + 2)° and its complement LHFI = (x+1)°, then what is the value of x?

A: If two angles are complement of each other,  then sum of both angle is 90°.

Q: 4x — у %3D 11 and 2x + 2y = 18

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Q: Let fix)= 2x-3 and gix)=x?+4x-4 . Evaluate: f(-3)= gt2)= f(a-2):

A: Given: f(x)=2x-3g(x)=x2+4x-4

Q: 7. Which equation is for the line passing through the points (0, 2) and (3, 8) ? * O y = 2x + 2 O y…

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Q: 4. (x 2)2 + (y + 4)2 = 16 %3D

A: Since you have asked multiple questions in single request so we  will be answering only first…

Q: Find y" of y=- y" = y" = O y" = y" = X-1 2 (x-1)² 2 (x - 1)³ 1 (x - 1)³ -2 (x - 1)³

A: Topic = Derivative

Q: What are the points of inter section of y = 8 and f(x)

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Q: Express the following as linear combinations of 1= (2, 1, 4), v= (1, – 1, 3), and w= (3, 2, 5). 8.…

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Q: If A = {(x, y): (2, -2), (4, -1), (6, 0), . . .}, complete the rule for set A. y= 1/2x - 3 -1/2x -…

A: Observe the given pattern of set A then complete the rule.

Q: Find z,(-1,2) if z=In(5x°y²+2y*). Answer:

A: We can find the answer as below.

Q: If f(x) = x*(3x + 2)°, find f(x). O x(3x + 2)7(11x + 8) O x³(3x + 2)7(36x + 8) O x³(3x + 2)7(20x +…

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Q: 2. If f(x) = 1+ x2, find fof. * %3D A. 1+ x2 + x4 B. 2 + 2x2 + x4 C. 2 + x2 D. 1 + x4

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Q: (3) Construct a linear spline interpolating (-1, 0), (0, 1), (1, 3).

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Q: Find f, and f, and evaluate each at the given point. f(x, y) = eXy2, (In 5, 2) fo(x, y) f,(x, v) =…

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Q: The data set below represents the number of calories in six different types of pizza. 230, 290, 280,…

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Q: If gcd( m,91) = gcd(n, 91) = 1 %3D %3D

A: Given, if gcd(m, 91)=gcd(n, 91)=1,  To prove that                     91|m37-n37

Q: For the given data (0, 1), (1, 1), (2, 3), (3, 5) find the line y = ao + a1x that best fits the data…

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Q: (6) (x)어

A: we have been given f4(x)=(x2+1)2 we have to find the value of f6(x).

Q: ind the value of x and y given that X. - 24 3 土 %3D 2 -2x 4 -5

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Q: Find Sol of 3za + 10zxy + 3zyy = 0

A: We will find it's solution.

Set Theory

Every field in the present world involves a set. The theory of sets was developed by German mathematician Georg Cantor while working on the “problems of trigonometric series”.