3. Given that g(x) = 3x – 2, h(x) = x² + 1, hg(x) = А 3x2 + 1 в (3x - 2)(x2 + 1) С 9x2 - 12х +5 D 9x2 + 12x +5

Q: Q2) The general solution of y" + 2y"-y' - 2y = 0, is: a) y(x) = c₁e²x + ₂x + c₂e* c) y(x) = c₁e²x +…

A: Solution :-

Q: A solution to y"-4y'+4y xe+ 2x is O A. y = xe* -2x O B. y = xe" O C. y= e* OD. y= xe 2x * None of…

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Q: 1.What is the third derivative of y = 2x5 – 2x4 + 5x3 + 6? 2x – 2x + 5x? 40a O A. " = - O B. " 24x +…

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Q: . Find out optimum solution of the following LPP. Max Z= 2X + 5Y Subject to: 6X + 5Y

A:

Q: 9. Find the particular solution of y" - 2y' + 5y = 0 y(0) = 1 and y'(0) = -2. An

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Q: An automobile manufacturer sells cars in America, Europe, and Asia, charging a different price in…

A: The number of cars manufactured in America, Europe and Asia are x , y and z The price functions for…

Q: 1. Evaluate 4 xdx 4+x³ ,by Composite Trapezoidal Method. n=7 fo(x) + 2 Σ1¹ f(xi) + f(xn) in-1 I = (b…

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Q: 3. Given that f(x) = x is a solution of (1 – x² )y" – 2xy + 2y = 0 within -1<x<1 find a second…

A: Given: (1-x2)y"-2xy'+2y=0  within -1&lt;x&lt;1:

Q: a) Give a particular solution for y" – 2y' + y = 3e*.

A: According to company rule we can answer only first question and rest can be reposted.

Q: x = c, e" + cz e- 21 e" O x"- 2x'- 3x 8 e O x" + 2r'+ 3x = 8 e' O x" - 3x'- 2r 8 e O x"- 2x'+ 3x = 8…

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Q: ₁:w+x+y+z=0 ₂:-w+2y=z=14 13:3x-y-2z=4 T₁:7w-x-y+3z=-8

A: to solve the this we use the gauss elimination process to find the solution of the system of…

Q: s.t 6x +4y < 24 x + 2y < 6 -x +y<1 ys2 x, y 2 0. Solve the problem algebraically.

A: given system of linear equations. Max Z=5x+4y such that 6x+4y=24x+2y≤6-x+y≤1y≤2 to solve the problem…

Q: ) Obtain the general solution of y" + 2y + y = e² In r

A: In this question, the concept of the differential equation is applied. Differential Equation A…

Q: 3. Differentiate. a) M(u) = (1-4u²)(u+2) b) g(x)= (-x+3)(x – 10) ) p(n) = (5n+ 1)(-n² + 3) d) A(r) =…

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Q: Solve a & b with given A[r = 3x şax+ (y + z + 3) Ay +(6x - z³) a₂] where: np = ax + 4ay - 2az 2+y³

A: Given

Q: 19. 2x + 2y + 4z = 0 w - y - 3z = 0 2w + 3x + y + z = 0 -2w + x + 3y - 2z = 0

A: According to Bartleby guidelines we can only solve one question at a time. Kindly put other…

Q: dy Solve of y = e2-3+18 In(e2²-30+18 da A. y' e2z²-32+18 (8x3 – 18z² + 85x – 57) B. y' e2a2-3a+18…

A:

Q: 1 If y* = ex , then y' equals -2x 2y B +3 (c) none of the given choices 2x (D y3 - 2y E x3 A,

A:

Q: Find the general solution of 2xy^2 + 4 = 2[3 - (x^2)(y)ly. (x^2)(у^2) + 4x - бу 3D С (x^2)(y^2) + 4x…

A: Tip: if you couldn't solve the differential equation, differentiate the given option and check which…

Q: B. Solve the following LP algebraically. а. Max Z= 150X+ 160Y subject to: X+ Y 20 Y> 15 Χ. Y>0 b.…

A: We solve the first two problem by simplex method. In this problem we first transform the problem…

Q: 10. Find the particular solution that satisfies the initial condition. my'+2y = 3x2-5x, Initial…

A:

Q: 2. Verify that e 2 is a solution of the equation y" -3y'+2y=0.

A:

Q: What is the particular eq. of the given:   y"-3y'+2y= xe^x +1

A: NOTE: Refresh your page if you can't see any equations. . for the homogeneous system, the auxiliary…

Q: (10 – 6y + e-3=) dæ -3.z 2dy = 0 -

A: As per our guidelines, we are supposed to solve only first question. Kindly repost other question as…

Q: 2- X-J =(M(404) 3x उ्रुफट (X) %3D gu) =x°-8e

A:

Q: 4. Find for the particular solution of y' = x3 – 2xy when x = 1, y = 2 x2 а у 2e + 2 - ex2 b. y =+…

A: The given differential equation is:y'=x3-2xywhich can be written asdydx+2xy=x3which is a first order…

Q: Give a particular solution for y" - 2y' + y = 3e".

A: Explanation of the answer is as follows

Q: 3. Solve the following using Two Phase Method MIN Z = x1 + x2 subject to 2x1 + x2 >= 4 x1 + 7x2 >= 7…

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Q: The general solution of (D³+4D)y=0 is Ay=ex(c₁cos2x+c₂sin2x) B y=c₁+c₂cos2x+c3sin2x Ⓒy=c₁ex+c₂e²x +…

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Q: 3. Differentiate. a) M(u) = (1 – 4u²)(u+2) b) g(x) = (-x+3)(x – 10) c) p(n) = (5n+1)(-n²+ 3) d) A(r)…

A:

Q: Solve the following problem using the two phase method. min: z = 3x1 + 4x2 -X3 Subject to 3x1 + 2x2…

A: Since there are multiple questions posted the first question is answered.Kindly re post if any…

Q: a) z=-x² + y² c) z² = x² + 2y² e) x² + y²-z² = 1 b) z=-x²-2y² d) -x² - y² + z² = 1

A: match the following quadratic surfaces with the following equations (a) z=-x2+y2

Q: D. 8y = 4x3 - 6x² + 3x + 8e¬*² В. 4у %3D 2х2 — х +3+е-*? Find the particular solution for y' = x3 –…

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Q: 3. Find the general solution of y" – 3y' + 2y = e" using the method of variation of parameters.

A:

Q: Find the particular solution of y' = x^3 - 2xy when x = 1, = 1. O 2y = (x + 3)^0.5 In(2x+3) O 2y =…

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Q: Obtain the particular solution of x²y" + xy' = 1; y = 0 and y' = 1/2, when x = 1

A:

Q: To find the daily optimum production number of Portland cement in a factory, one needs to solve the…

A: Given system of linear equation is 10x1-x2+2x3=6-x1+11x2-x3+3x4=252x1-x2+10x3-x4=-113x2-x3+8x4=15 To…

Q: 8. Find the particular solution of x²y"+ xy' = 1; y = 0 and y' = 1/2, when x = 1.

A: eular method

Q: Complete solution of this by the method of variation of parameters. 3y''-6y'+6y=e^xsecx

A:

Q: The general solution of xy' = -x3³y-csc (xy) is A B C D 2x²cos (xy)+1=cx² -2xcos (xy)² + 1 = cx²…

A: Please see the below picture for detailed solution.

Q: Verify that y = c1x+c2Vx+ is the general solution of the 6x following nonhomogeneous 2.²y" – xy' + y…

A: Derivative of xn: Derivative of an exponential function that is, xn is given by the formula,…

Q: Find the particular solution of: y' – 4y = x²e* that satisfies y(0) = 2.

A:

Q: Find the general solution of (x³ + 2y4)y' = 3yx² in implicit form f(x, y) = c. When y(0) = 1, what…

A: We have to solve the differential equation

Q: 4. Find the general solution of (x3 + y³) dx = 3xy² dy = Cx = Cx А. -Зx3 + 2yз В. 7x3 + 2у3 С. -бх3…

A:

Q: 17. The general solution of the equation (x³ + 3xy²)dx + (3x²y+y³)dy = 0 is A. (x4 + 6x²y² + y4) = C…

A:

Q: 2.40 Solve the following problem for x (t) and y(t): x = -2x + 5y y = -6y - 4x + 10us (1) x(0)=5…

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Q: 4) Aşağıdaki fonksiyonlardan hangileri a2 əx² 1 a2 v² ət²! dx2 dalga denklemini sağlar? Neden? a) f…

A: a) Given that f=5x-5vt3 Now, differentiating f with respect to x, we get  ∂f∂x=35x-5vt25=155x-5vt2…

Q: Find the general solution of xy²y' = x²y-y³. x2 y² = (C+ 2ln(x)) Oa. O b. 2x2 (C+2ln(x)) Oc2=x²+ x2…

A: We need to find the general solution of given differential equations.

Q: The particular solution of (2x+3)y'=y+ (2x+3) ¹/2 ; y ( − 1) = 0 using LDE is A B C D -2y=√√2x +3 In…

A: Please see the below picture for detailed solution.

Q: 1- If y+3y = 8 then g- solution is %3D a- y + 6 = 1 b- In (8-3y) =x + c 3 a

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.