3 Use synthetic di vi sion to find the quotient and remain der when di vi ding p(x) x+x-x+ 2 by x-i +(1+i)x+ R-1 b. R-2i -211 (1)-2+A d. [2+(1+i)x+(-2+)] R 1-2 C. R--2 CATOASO/git Apr 22, 2019

Q: 5. Use Green's theorem to evaluate where C is shown below (6y - 9x) dy — (xy - x³)dx (-1,4) (-1,-1)…

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Q: 5. Use geometry to evaluate (V4- x² dx 2 O 2n O 4t

A: Solution:

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A: NOTE-Since you have asked multiple question, we will solve the first question for you. If youwant…

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Q: ldéntities will prove useful in achie Exercise 12. Show that E, (T: – ¤) = 0 %3D | E (*: – µ)² = E…

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Q: 2. Find the r educed echelon form of the fo A = 0 0 0 6 54 0 (714161 Show your working

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Q: dependent variable Y, and regressor X, : Y, = ßa + BIX, + t1. where i- 1.n, and X, = Y, + Z,. Assume…

A: Yi=β0+β1.Xi+uii=1,....,nXi=Yi+ZiCov(Zi,Ui)=0

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Q: 9x cos(y) dA, D is bounded by y = 0, y = x2, x = 1

A: This is a problem of multi-variable calculus.

Q: 8. Verify that the function u(x, y) = eª sin(y) is harmonic in the region where it is defined and…

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Q: dn-1 for allneZ with n2 2. Prove that for al Let di = 2, and dn ne N, d, =. %3D %3D %3D

A: Since you asked to solve for multiple questions. But according to guidelines we will solve the first…

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A: Given u(x,y)=y3-3x2y

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Q: 16. Find he exact soution on The interval [0,2m] 25in?x ャ Bsinx +3= 0 5sinx t

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Q: The coefficient of sin(2x) t F(x) =(cos() is Blank 1 (use fraction form not decimal no space) in the…

A: To determine the coefficient of sin2x in the antiderivative of Fx=cosx26.

Q: 1 - Show that u(X, y) - e^Cosy is harmonic function = e and Find tne Conjugate harmonic v(X,y) and…

A: Harmonic function

Q: stion 1 If A is a 4x 3 mat rix and nullity (A) =1 , OA 2 then rank (A) OB 4 Oc1 ODO OE3

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Q: 10. f(x) =-x2 +3x+ m, y 4-IOBI = 10CI %3D A(ABC) = ? B.

A: As per guidelines, we will solve first question poste. 10) Given fx=-x2+3x+m 4OB=OC

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Q: Q:9 Evaluate cot(72)\dz 3 [z e? + by Cauchy's residue theorem.

A: We have to solve the given integral by Cauchy residue theorem

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Q: 4. If u(x, y) is harmonic in some domain then find its harmonic conjugate v(x, y): (a) u(x,y) = 2x(1…

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Q: 7. Use appropriate formula of geometry to evaluate the followings. L(lx – 3| + V36 – x²)dx b. L(2x +…

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Q: 1. Fora function f (z) (with =x + iy) consisting of f (z) = u (x, y) + iv (x, y) Investigate whether…

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Q: finde general Sonotion 1- y' = See'y 2X-1 %3D 2- 3-Xy=Y+2x $ in?

A: This question can be solved by applying the concept of differential equation.

Q: Q11] Integrate counterclockwise around C. Show the details. sin3z 1) ,C:Iz| = t z2 5z3 2) ,C: Iz| =…

A: Our guidelines we are supposed to answer only one question. Kindly repost other question as the next…

Q: 2- Evaluite the Value of 4he next nteg Pation by using Ahe trapezodal rule ; Then Find the absoluto…

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Q: Q1. Consider the two different losses: (i) zero/one loss where Ai dij = 1 and (ii) generic loss…

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Q: please solve this question

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Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.