Q2/ Find the Dual for the primal problem? P: Max y1 + y2 Subject to: y1 +2 y2 s 6 y1 - y2 s3 y1, y2, 20 And then determine the feasible solutions for the primal and the dual problems.

Q: In Exercises 1-3 we refer to linear systems from the exercises in Sketch the phase portrait for the…

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Q15: Define the concept of ideal and then show that the set I = is not an ideal of the ring of all 2…

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Q: 3. Find the parametric equation of the line passing through the point (-1,0,3) and in the direction…

A: The given question is related with equation of a line. We have to find the parametric equation of…

Q: c) Maximize Z = 3x1+ 4x2+ 2x3 subject to: X1+ 2x2 + 0x3 s 10 2x1 + 2x2 + x3< 10 X1, X2, X3 20 d)…

A: Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: Q.15) The solution of y" + y' = 0 by using power series method, is: %D a) y(x) = ao + a, (1- x2 %3D…

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Q: Based on tha sales data for the last 30 years the linear regression trend line equation is:…

A: Solution :  Given that  The linear regression trend line equation is  Ft = 93 + 24 t

Q: 3a) Use the cross product to determine a unit vector that is perpendicular and in the opposite…

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Q: 9. Jesse was riding her bicycle and ran over a nail. At this point, a stopwatch starts timing. The…

A: If height denoted by cosine function  ht= a cos bt +c +d  a is amplitude  2πb is period  c is phase…

Q: dy dy Consider the second-order equation + p- + qy = 0, where p and q are positive. dt dt (a)…

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Q: 4. lim f(x) = +∞, x-3 lim f(x) = -o x-3+

A: This is an application of calculus.

Q: 7. A set of data has a variance of 81. What is the standard deviation?

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Q: QUESTION 3 Which is the inverse of " if z=4, then 2z#9"? O if 2z+9, then z =4 O if z+4. then 2z =9 O…

A: In inverse statement, Negation of both hypothesis and conclusion is taken.

Q: 5. Choose ONE strategy shown in class to verify that the vectors: = (1.3, -1).5, = (2.1,1)and i, =…

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Q: 60. 0 = %3D %3D 4

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Q: Instructions: For every item given below, determine which kind of algebraic structure it is, and…

A: Introduction: An algebraic shape is like an ordered pair. The pair includes a hard and fast and a…

Q: Find the velocity and acceleration vectors in terms of u, and ug- de r= a cos 20 and = 5t, where a…

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Q: Including the broken lines, how may secant lines are there in the figure? A E В 1 2 4

A: Solution -: There are two secant line  AB and CD .

Q: • The intersection of D with the ry-plane is the region bounded by the cardioid with the equation r…

A: Solution-:

Q: t, = 1 t2 = 2 t3 = 3 t4 = 4 C, = 11 C2 = 29 C3 = 65 C4 = 125 1 1 1 1 11 1 4 8 29 1 9 27 65 1 16 64…

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Q: 6. A sequence of numbers ro, 1, 2,. is such that xo =4 and, for each n 2 1, In = Kr-1 + 3, where K…

A: Given a sequence of numbers x0 , x1,x2,...........  is such that x0=4  and  for each n≥1,…

Q: QUESTION 1 Which is the contrapositive of "If March comes in like a lion, it goes out like a lamb"?…

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Q: 2) The basis of the equation y"" + 2y" = 0 , are: h) 1.1.e-2x %3D 2x c) 1,x, e2x d) 1, x, e-2x

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Q: Given the ellipse with equation 2x²+y?=1. Find a Maclaurin series that allows you to determine the…

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Q: 1. Consider the function g(x, y) = cos(xy) + sin(x – 2y) (a) Determine дудх (c) Determine (c) What…

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Q: If 4 2 R = 4 R is the matrix of a linear transformation consisting of a rotation with angle 0 and a…

A: Given the matrix R=4224. The rotation matrix is of the form R=rcosθrsinθrsinθrcosθ, where r is the…

Q: a) Q.7) To write the power series m=3 Um as the form Em=2 Um , we must shift m to a) т- Q.8) The…

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Q: Including the broken lines, how may radii are there in the figure? C f E f a b G F D O 5 O 4 O 2 O 3…

A: Radius of circle: a radius of a circle is any of the line segments from its center to point on…

Q: find the reah and imaginary Parts u and v of the given comPlek function f as fuctHions of r and @.…

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Q: .1) The general solution of the equation y" + y =-5e- , is: - y(x) = Ce-* + ez(Acosx + Bsinx) -e-* O…

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Q: : Define maximal ideal, prime ideal.

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Q: 2. if it was P(x)=ao+a,%tazk Prove that PecR) inner multiPlication sPace

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Q: For u = 0 we obtain the logistic DE on the line: i = r - a. Draw the phase line for this system.…

A: We will be solving Question 1 as mentioned. The given logistic differential equation on the line is…

Q: (a) Consider the differential equation -u"(x) = x in (0, 1), u(0) = u(1) = 0. (v) Taking a mesh with…

A: Given: The differential equation, -u''x=x in 0,1. The boundary conditions: u0=u1=0.   To compute:…

Q: Solve av/R – r?dy = (a²y³x+ yV – x²) dx

A: This is a Bernoulli’s Equation. , We need to convert it into standard form and then by substitution…

Q: 1. Evaluate the given line integral, {-y,x – y) - dR, where C is the upper part of 22 + y? = 1 from…

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Q: Calculate t. [35 t+ 6 C 10 12 B O 25 O 26 O 30 O 28 O 27 O 29

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Q: Q5: Define nilpotent element. Are 1 and 3 nilpotent elements of Z9?

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Q: The approximation of I = , cos(x³ - dx using composite Simpson's rule with n 3 is: 3.25498 None of…

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Q: (B) Let I be a maximal proper ideal of commutative ring with identity R. Prove that R/I is a field.

A: Here we use basic ring theory

Q: Romberg integration for approximating S, f(x) dx gives R21 = 2 and R22 2.55 then R1 %3D 0.35 2.15.

A: Introduction: Romberg's approximation is used in numerical analysis to approximate the definite…

Q: -Establish what type of multiequational model it is -Indicate the endogenous and exogenous variables…

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Q: Q.1) Rewrite the series Em=3 am xm+1 - x Lm=1 amx*S involves xm: 100 as a single power series whose…

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Q: Pose only a triple integral that calculates the volume of the solid bounded by the surface z =…

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Q: Given E(x,-)-78 and N= 80, then the population standard deviation, a, is approximately O a) 0.975…

A: Given, Σ(xi-μ)2=78  and N=80 We have to find population standard deviation σ.

Q: K/29° N

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Q: Find the solution of the equation = e Cos y which tends to zero as x - 0o and has the value cos y…

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Q: -4 2 Given: A = 2 -7 4 has eigenvalues -3 and – 12. [-2 4 -7 a) Explain why we know that A is…

A: Given the matrix A=-42-22-74-24-7 has eigenvalues -3 and -12. (b) We will find an orthogonal matrix…

Q: 3. Find the parametric equation of the line passing through the point (-1,0,3) and in the direction…

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