Q3) Find fog(x), gof(x), D, D fog' gof x+2e f(x) = » g(x) = vx – 2 %3D 2

Q: ) Estimate the value of Csc (0. 2) using linear approximation and without using any kind of…

A: Given problem:- Estimate the value of csc(0.2) using linear approximation

Q: equilibrium

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Q: Find the point on the planez = x + y + 1closest to the point P = (1, 0, 0). Hint: Minimize the…

A: Let Q(x,y,z) be the point closest to the point P. Let D be the distance between these two points.…

Q: You wish to minimize f(x)=10X(1^2 )-X_(2^2 ). If you use steepest descent starting at (1,1)will you…

A: Consider the given function, fx,y=10x2+y2 we have given the starting point 1,1. Now, ∇fx,y=20x,…

Q: Solve the given optimization problem by using substitution. Minimize S = xy+xz + yz subject to xyz =…

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Q: 7 Find the most general antiderivative for the function – 5VP. 2 -

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Q: If f(3) 12 and f '(x) 2 1 for 3 sxs 7, how small can f(7) possibly be? Enhanced Feedback

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Q: Z=8x+12y subject to 4x+6y>14 , 4x+5y > 9, x20, y20 x=? (2 decimal places) Minimize

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Q: Minimize S = xy + xz + yz subject to xyz = 3 v

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Q: • Consider the (nonlinear) initial value problem / = -2y, y(0) = yo Does it have a solution for a)…

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Q: 7. what is the durivative oF q= arc cSc V1-3X %3D 3 Cz -Gx)I- 7 X 3. C2-6x)1-3x (-3x)-3x 3 C1- 3x)-3

A: First make it in simple trigonometric functions then diffrenciate it and just put all the given…

Q: Is ƒ(x, y) = x2 - xy + y2 - 3 more sensitive to changes in x or to changes in y when it is near the…

A: Partial derivative of f w.r.t a variable is the indicator of the sensitivity of f towards that…

Q: 27The platis that passes through the e Point C672) and contains the lihie メー4-2t)X= 345t) Zと+4t 4. こ

A: We have to find the equation of the plane which passes through the given point and contains the…

Q: 11. f(x) = x² + 7x + 10 Opens up/down: Vertex: Axis of symmetry: Solution(s): y-int:

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Q: d) The stable critical point is %3D while the unstable one is y =

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Q: Q3\ Solve the problem minimize * J[y]= [[v +y"- 2y dx ,subject to the conditions y (0) =1 and y(1) =…

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Q: Use variation of parameters to find a particular solution of the ODE y" – y = 2e".

A: Given differential equation is  y''-y=2ex we have to find  the particular solution of this…

Q: Find the solution (varition of parameter)   X2y11-2xy1+2y=x3sin x

A: According to the given information, it is required to find the solution of the given differential…

Q: Determine the value of the Wronskian W(y1, y2) of y" - 2y + 1 = e2*(x + 1) if x-0.2 by using…

A: Given, y''-2y'+1=e2xx+1. The objective of the problem is to obtain the value of the Wronskian if…

Q: fCx)=(1+x)* at X=0 is LUX)=1+ KX + "७) %3

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Q: Find the particular soluti y' + 3x²y = 3x² %3D Initial Condition: y = 6 %3D

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Q: The partial derivative fx(-1,0) of ƒ(x, y) = xe³ + x² + 1 is equal to −1. Select one: True False

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Q: What is the minimum value of y = 3 + cos 2x?

A: Please go through the attached solution. I hope that this solution will help you. Thankyou . Best…

Q: Solve for Elimination of Arbitrary constant given problem is x^2y=1+cx

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Q: Q1: Use ewton- Raphson method to estimate the Yoot of fcx) = x -x -1 , emp loying an initial %3D…

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Q: What happens when you try to approximate V3 by using fixed point iteration of g(x) = 3/x?

A: To determine what happens when 3 is approximated using fixed-point iteration.

Q: 2. y = V4-x , x=0 and y=0 about the y- axis

A: Given that y=4-x2, x=0 and y=0 about the y-axis

Q: Determine the value of the Wronskian W (y1, Y2) of y" – 2y +1 = e2 (x +1) if x=1.3 by using…

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Q: The partial differential equalion formed to om the (x -af + ÿ +(2-65 = 16 is nelation 9. %3D = 16

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Q: 4 to Use the Trapezoidal Rule with n = 1 approximate J-1 V1-x³

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Q: 2. Estimate the solution of 3x = ex + 2 with po = 1, p1 = 1.8 using SECANT METHOD. Find 2 %3D…

A: The given problem is to find the approximate solution of the given equation using secant method upto…

Q: x² + y² F(x, y) =- - is a homogeneous function of degree

A: For finding degree of homogeneous function, Put x=hx and y=hy

Q: Min 2こ d 2 t0125 + 3 X2 X + X 2 X, i XZ

A: Min Z =   2 x1 + 3 x2 subject to   0.5 x1 + 0.25 x2 ≤ 4     x1 + 3 x2 ≥ 36     x1 +…

Q: Obtain the particular solution for: 2y" +2y=2sinx y(0)=0, y'(0) =1 By using method of variation…

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Q: (3z²+5z+3)dz (z- 2)(z+3) Integrate:

A: The given integral is ∫(3x2+5x+3)(x-2)(x+3)2dx

Q: Q4. Integrate using partial fraction: -2 x2+1 dx -2 (x+2)³

A: Given: I=∫-22x2+1x+23dx  ……1

Q: Find the orthogonal trajectories of x^2+y^2−2cy=0

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Q: maximize f(x,y)=xy subject to the contraint 6x+y=18  the last question is what is the maximum valye…

A: max . fx,y=xyS.t 6x+y = 18     6x+y=18⇒ 6x+y-18=0∴ gx,y=6x+y-18=0    Fx,y,L=fx,y-L g x,y⇒…

Q: x² – y² = = CX

A: For orthogonal trajectories, replace dy/dx by -dx/dy and solve it.

Q: Solve: sec x = V2 + 2πkk e Z U + 2π시k E Z 3. + 2πkke z 2Tk k EZ 4. 4 + 2rk|k € Z 3 + 2rk|k E Z 3. of…

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Q: Use the method of variation of parameters to produce a general solution of the inhomogenous equation…

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Q: (2)If ø = xyz – 2 y²z+x²z?. Find div grad ø at points (2,4,1)

A: Given that        Φ =xyz-2y2z+x2z2  Here we have to find div grad Φ at points (2,4,1).

Q: V Solve usıng variaton of parameters or reduction of order (D²+1) y = tan

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Q: Find the four second partial derivatives. z = 6x2 + y5 a2z дхду дудх ду?

A: We will find all the asked second order partial derivatives as following.

Q: 3. Find general Golution y" + y= Secx

A: Given that, find the general solution y''+y=sec3x (D2 +1)y=sec3x

Q: f(x) = 2x5 + 15x4 - 3x3-4x2+ 7x+ 14 1)Trapeaoidal rule 2) Trape20idal rule with n=2 3) 1/3 Simpson…

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Q: (b) Form the partial equation by eliminating function f from z = f(x?

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Q: Find two numbers x and y with x-y = 20 for which the term xy is minimized.

A: In this problem, we have to find the two numbers "x and y"

Q: I Sdve for dydx using the four-step rule 2. Y = x- x 2.

A:

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.