Consider the follow ing LP model: max z = 50x, +100x, X +x, 5 300 | 2x, +x, 5 400 St. X, S 250 X, X, 20 (1) Solve the problem by the simp lex method. (2) Find the dual price of each constra int.

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A: We have to solve the integration

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A: Introduction: The method of the undetermined coefficient is a way to find the particular solution of…

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A: Given integral is This integral can not be evaluated by using partial fractions. We evaluate the…

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A: We are asked to find the integral.

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Q: 8 Evelluate the double integral: + 3x) dydx

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Q: 4. Evaluate f VX /xVX+ 1dx using integration by algebr substitution.

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Q: 7. ydx-xdy + xydy = 0 Ans: In²+ y = c

A: We have to solve differential equations

Q: Graph the integrand and use geometry to evaluate the integral. 6 2) s V36 - x2 dx -6

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Q: Consider the following Lp: Max Z =5.4 x, +6x2 Such that 4x, + 3 x, < 20, 000 (Hours available)…

A: The given LP problem is                      Max Z=5.4 x1+6x2subject to            4x1+3x2…

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Q: Evaluate the integral of * dx Vã – Vx3 -4 In|x/| – 4x3/^ + C -4 In/x/| – 4(1 – x/4) + C Option 1…

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Q: where does the number that you subsitute in the subsitution method come from? In this case where did…

A: Given,

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Q: In the context of ordinary least square (OLS): Given mịn- ||Y – Xß||? Use derivatives to derive the…

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Q: Anti der ivent ive 2x %3D 37-4

A: Solution

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A: use distributive property on function and integrate it.

Q: Is the integral of 2x wrt x equal to 2x^(1+1)/(1+1)?

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Q: 7. Find ſxsec¯'xdx using integration by parts made simple or otherwise.

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Q: Use partial fractions to find the exact value of the following integral 31² +3 23 + 3x

A: First do partial fraction then do integration

Q: (a) Evalate the integral||xydy dx. 12

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Q: 5y + 5 5 dy 2y e - 5

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Q: Express the integrand as a sum of partial fractions and evaluate the integrals. x+9 S: -dx 3 2x - 8x

A: see below the answer and calculation

Q: Solve S using the technique of integration by partial x²-4 fractions A. In B. In +c с. in +c D. A В…

A: Option A

Q: Express the integrand as a sum of partial fractions and evaluate the integrals. x+9 S: -dx 2x³ - 8x

A: To express the integrand as a sum of partial fractions and to evaluate the integrals.∫x+92x3-8x dx

Q: Eliminate the arbitrary constants 1. X = -Int, y= at + bt2 2. In y = C, sin ax + C, cos ax + 9x<-2…

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Q: Evaluate the integral of * | cot 2x csc* 2x dx esc* 2r -jesc* 2x + C -cot 2x -cot* 2x + C O Option 2…

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Q: 3 a) Evaluate iNT=x² % dz dydx 1-x²-y² e-3(x²+y²+z²)ž

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

Q: Use the Trapezoidal Rule to evaluate the integral fx-¹dx. 1 2|3 NIC 34 2

A: We have to evaluate the integral ∫12x−1dx by using the trapezoidal rule. Here, a=1 and b=2 And…

Q: evaluate using Integration by Parts.

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Q: Evaluate the integral (x – 1)ez xp- x² – 2x + 2

A: The objective is to find ∫-∞∞(x-1)eix(x2-2x+2)dx It is known that, eix is an increasing function.…

Q: In (xle)secx (2- sec²x) ha sec(3A – x) Ju"du? What should be the value of A for dr to be integrable…

A: Note -  Acc. to Bartleby guidelines, we are supposed to do only one question . If you want more to…

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A: Given the integral: Hence we have

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A: Given- ∫01cost2 dt To estimate- The error in the above integral, if cost2=1-t42+t84!. Expression…

Q: [x³√₁-x² 2

A: ∫x31-x2dx=∫1-x2x3dx Let 1-x2=t⇒-2xdx=dt⇒xdx=-dt2                         =-∫(1-t)tdt2=-12∫(1-t)tdt…

Q: What value of x > -1 maximizes the integral / t²(3 – t)dt?

A:

Q: Évaluate the integral of 2xdx /(2x²+4) if the upperlimit is G and the lower limit is 3.

A: Given,             The integral of 2x/(2x2+4) dx if the upper limit is 9 and the lower limit is 3.

Q: Evaluate the integral. 0. LG + dt - -2

A: final answer is -5.619 detailed solution is given below

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A:

Q: XCOSXdx

A: Explanation of the answer is as follows