8 Categorize the linear equation with the appropriate linear form. 1 (Level 2) Point-Slope Form y = a - 1 Answer by dragging items here Slope-Intercept Form O y - 7= 4 (x + 1) Answer by dragging items here Standard Form Answer by dragging items here O 4x – y = 12

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A: In this question we have to solve the homogenous linear equation.

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Q: 1. Eliminate the arbitrary constants on the given equation: y = C + C2e¯²

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Q: QUESTION 10 Let D (x) = - 5x +7 and S(x) = 3x+ 1. Find the equilibrium point. 3.25 (-5, 32) (3, -8)…

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Q: 1. Consider the following LP problem. Solve it graphically. max Z= 3x + 2y 2x + y0.

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Q: 3. Consider the following Sturm-Liouville problem: (e) +(a + 1) =0, 1<z< exp{x) y(1) = 0 y(exp(z)) =…

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Q: Solve the following boundary-value problem: y'' - 2y' - 3y = 0, y(0) = 3, y'(0) = 1

A: we have to solve the following Boundary value problem

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Q: Solve the following S-L problem y"(x) + Ay(x) = 0, y'(0) = 0, ul L) -0

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Q: Given the following non-linear model Min x² + y² + 2x²y + 2xy + 2x²y²-8x-6y-14zy subject to 2² + y²…

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Q: In each of Problems 7 through 12, find the solution of the given initial value problem. Draw the…

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Q: In each of Problems 9 and 10, find the solution of the given initial value problem. Draw the…

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Q: Problem 13.3.5: Suppose heat is lost from the lateral surface of a thin rod of length L into a…

A: Given,k∂2u∂x2-hu=∂u∂t∂u∂tx=0= 0   ,    ∂u∂tx=L= 0  ux,0=fx

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Q: 7.Solve the following initial-value problems: a) y" - y'-2y=0, y(0) =1, y'(0) = -4 b) y"+6y'+9y 0,…

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Q: II. Solve the following Bernoulli's equations. 1. y'(1) = 3y - y. Answer. y= I+cr and y= 0. 2. y' -y…

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Q: O 9-lve tue 7allowing Sutegre- Differeatiat Equations: u'lt) dt=e

A: The integral differential equation  u"x+∫0xe2x-tu'tdt=e2x can be written as  u"x+e2xu'tdt=e2x…

Q: Example 10.34. Solve the equation y" = x + y with the boundary conditions y(0) = y(1)

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Q: Solve th e following problem (1): y'+y'-2y= 0; (2): y" -6y'+9y 0; (3): y"-10y'- 24y 0; |(4):…

A: No1               y'' + y' - 2y =0       The axullary equation is            m2 + m - 2 =0       ⇒…

Q: 1. Eliminate the arbitrary constants on the given equation: y = Ae" + Bxe

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Q: 1. Eliminate the arbitrary constants on the given equation: y = Ae" + Bæe

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Q: 5. In this problem, we will use linearization to approximate the solution of e +1 20 which occurs…

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Q: find the unique solution of the second-orderinitial value problem. 12y" + 5y' - 2y = 0, y(0) = 1,…

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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.