Additive R group and multiplicative R= {aER:ax} of the group is isomorphic D:RsR, $6x) =2* Show with tronsformation

Q: -¹ { ₁ 1 (s-1)(s+2)(s+4)) Evaluate L-1

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Q: Factorise compbtey 1601P + 1ow 2. 8208 +20z? +44x5

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Q: avb (avb)+ F

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Q: 2x₁ + 5x₂ +3x3 = -1 10 x₁ + 30x₂ +10x3 = 1 40x₁ + 10x₂ +30x3 = -8

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Q: Find the quotient x + 4 x + 4 x² – 9 x2 + x – 12 | x - 4 x + -3, x + 3 x + 3 х — 4 x +3 x – 3 x +4 x…

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Q: Use a system of equations to write the partial fraction decomposition of the rational expression.…

A: The objective is to find the partial fractions for the given equation

Q: (4 -1 1 (b).| 3 7 - 2 X2 1 3 1 II

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Q: Transformation of ₂F, : X A x If |x| < 1 and < 1; then: 2³₁ (a, b; c; x) = (1 − x)" ₂ F₁ (a.c-b;…

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Q: Domain and range of this,

A: Given, The graph of the function.  We have to find the Domain and range of the function.

Q: n each exercise, obtain the differential equation of the family of plane curves described and sketch…

A: obtain the differential equation of the family of plane curves described and sketch several…

Q: - 3x₁ + x₂ + 3x3 = -8 3 x₁ + 4x₂ + 2x3 = 13 2x1 +3x2 + 4x3 = 16

A: Here we have to find solution i.e x1 , x2, x3

Q: 1. (2Y²-6) (2Y+9) 2.xXx-Y) (x+1) 3.rx-pry+1

A: This is a question of counting and finite math.

Q: 4 x₁ +5x₂ +3 x3 = -27 2x₁ + 6x₂+2x3 = -15 2x₁ - x₂ + x3 = 12

A: The given system of linear equations, 4x1+5x2+3x3=-272x1+6x2+2x3=-152x1-x2+x3=12 We have to find…

Q: Find the order of (3, 4) in Z4 × Z6

A: Z4={ 0,1,2,3 } mod 4Z6={ 0,1,2,3,4,5 } mod 6Order (a,b) in Zm*Zn = LCM { order( a), order (b)}

Q: Simplify to the form a+ib 4 1-i (b) 1+i 4+5i (c) 6- 5i (a)

A: Note: We answer up-to 3 multiple subparts. Please resubmit question which you would like to get…

Q: x² –1 4. x2 -4 (-2, – 1], [1,2)

A: Given :

Q: 6. Which digit would occupy the units place of 6

A: Note:  Hi! Thank you for the question as per the honor code, we’ll answer the first question since…

Q: Transformation of Ax for: A = [3   1                              x = [2       2    -4]…

A: We have  A=312-4, x=21 Transformation  Tx=Ax

Q: 3x4-5xe*+2xcos (x) Evaluate: 3x4 - 5ex – 2sin(x) + C 4 (A B x3 - 5ex + 2sin(x) + C O x3 – 5ex –…

A: The given integral is ∫3x4-5xex+2xcosxxdx the objective is evaluate the given integral.

Q: EQUATIONS 5y" – (y')“ = y* sin æ y" + 2x = tan x 을 + () -분 Sw = 4et St2 ds 8' M 82 M dy? = cos x + N…

A: see below the answer he/she has ask for independent variable A independent variable in equation is…

Q: Using linear algebra to find x1,x2,x3

A: Introduction: Row operations are used to convert a matrix to row-reduced echelon form, which is…

Q: 3x +3x-5x² +x-1 dx x² +x -2 Q4 Evaluate

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Q: I +3 Evaluate – 1)²(z² + 2) dr.

A: Use partial fraction to write the integrand in different fractions.…

Q: 4x² +3 Evaluate x² +1 + Arctan x +C 4 O -4x - Arctan x + C O 4x + Arctan x + C O 4x - Arctan x +C

A: We will break it into two parts.

Q: M Phove that (A nB) <Ã UB

A: Introduction:  A set is nothing but a collection of objects. All the objects must be well-defined. A…

Q: Σeksin (2-k)

A: The given equation is as follows:∑eksin(2−k) There is no unique solution to the given problem…

Q: linear Combination write of vi,V2,V3 as Vz (2,7,10),V,=(1,2,3),V2=(1,3,5), V3 =(!,s,9) %3D

A: Consider the given values. V=2,7,10V1=1,2,3V2=1,3,5V3=1,5,9 Let's the linear combination of the…

Q: Multiple Choice O (XEZIX<3=[xeZIx#1) O KEZIX<x3=(XEZIX#0) (XEZIX<x=(XEZIX#0^x#1) (XEZIX<=(XEZIX#0v…

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Q: x1 X2 x 3 X4 +s +t 4x1 -X1 3x1 - 3x1 -5x2 +4x3 +3x4= 2 +x2 +3x3 +3x4 2 -4x2 +7x3 +6x4 = 4 +3x2 +9x3…

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Q: Evaluate S Vx+1 dx (1 + } -(1 + i (1-5 D. - (1-5)i A. + C C. + C B. + C + C

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Q: V2-5V3

A: 8·42-53=322-53=322-532-532-53=322-532-53

Q: 2x +8x-42 2x +14x %3D х-3 +5x X +5 O -x + 5 x- 5

A: To solve: 2x2+8x-42x-3+2x2+14xx2+5x Solve the expression 2x2+8x-42x-3+2x2+14xx2+5x Solution: First…

Q: Determine the simplified form of 5+j4 5-j4

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Q: L-1 | 53 5 = 3s +1 3 – s2 + s - 1

A: Find the inverse Laplace transform of 3s+1s3-s2+s-1. Rewrite the denominator:…

Q: 4 x₁ + 5x2 +3x3 = -27 2x₁ +6x₂+2x3 = -15 2 x₁ - x₂ + x3 = 12

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Q: x3 + 4x2 + 5x + 2 dx Evaluate x4 + x3 + x2

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Correlation

Correlation defines a relationship between two independent variables. It tells the degree to which variables move in relation to each other. When two sets of data are related to each other, there is a correlation between them.

Linear Correlation

A correlation is used to determine the relationships between numerical and categorical variables. In other words, it is an indicator of how things are connected to one another. The correlation analysis is the study of how variables are related. 

Regression Analysis

Regression analysis is a statistical method in which it estimates the relationship between a dependent variable and one or more independent variable. In simple terms dependent variable is called as outcome variable and independent variable is called as predictors. Regression analysis is one of the methods to find the trends in data. The independent variable used in Regression analysis is named Predictor variable. It offers data of an associated dependent variable regarding a particular outcome.