5.) Write the equations. Do augmented matrix linear t not Perform any operations. 2x + 7y = 11 -3x+8y=-29

Q: Solve the following optimization problem: min xER² s.t. 50 X1 X1 ≥ 1 X2 ≥ 1 20 x2 + x1x2

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Q: 5 37) [D + 1 LD + 3 Solve the following simultaneous linear D.E. 2D + 11 et +10) = {²} 4D + 111 -2t

A:

Q: What is the answer for  these two problems ?  P(X=1)=      AND   P(X=2)=

A: It is given that 4% of children are allergic to peanuts and sample size is three children.

Q: Problem 1.6 Prove that there are no solutions in integers x and y to the equation 2x² + 5y² = 14.

A:

Q: Prove that if gcd(a,b)=1 then gcd(a+b,ab)=1.

A: Given, gcda,b=1 Let, d=gcda+b,ab This implies, da+b and dab This gives, dba+b⇒dab+b2Since,…

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A: The meaning of the notation 83,3,2 is the number of ways to pick an ordered partition of length 8…

Q: wouldn't there be a t in the second term of the general solution?

A:

Q: Question 2. If ax²+bx+c = a (x – d)² with a ‡ 0, find d in terms of a, b and c.

A: Given:The expression is .To Find: in terms of  and Concept Used:Algebraic identity:, where  and are…

Q: 1. 2. d 3x² -5 dx 7x+1 -+4x² d 7 sin-¹'(4x²)+e³x sechx² dx

A:

Q: 3√t-1 S (³√t=¹) dt

A: The given integral is:  ∫3t-1t dt

Q: 2 Problem 1: Find L-1 s2 + 5s + 6J

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A:

Q: Example 2.27. Apply iteration method to find the negative root of the equation x³ - 2x + 5 = 0…

A: Here, we need to use the Iterative method to find the solution of given equation.

Q: Suppose x E R. If x³ – 4x4 + 3x3 – x² +3x – 4>0, then x2 0. - |

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Q: 1 37) Solve the following simultaneous linear D.E. [D + 1 2D + 11 40)=(2²) LD + 5 4D + 11]

A:

Q: 1-y2 11(x² + y²)10 dxdy .

A:

Q: 5. Solve the following optimization problem: min xЄR² s.t. 50 20 + + x1x2 X1 x2 X1 ≥ 1 X₂ ≥ 1

A: Given that: min 50x1+20x2+x1x2. Subject to x1≥1,x2≥1. To solve the problem we need to graph the…

Q: Which of the following is equivalent to the problem shown? In(2) where z = 10ei

A: To evaluate: lnz, where z=10eπi3. Let, z=x+iy. In polar form, z=reiθ+2nπi. Because, ez is parodic…

Q: 1-47. Compute for f(x)= . а. b. c. f(0.01) d. f(0.007) Solve each of the following quadratic…

A:

Q: Solve the following simultaneous linear D.E. 4 [2D [2D+1 D+ D-4 11 {} D+3)=(e) -

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Q: Solve for x and y. X = y = 17 1 5x + 20 5 [723]-[2725231 2y 1

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Q: are you sure about part 2? is the answer supposed to be i(t)=c+itp(N-i)-irt?

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Q: 1 Use the dual simplex method to solve the following LP: max z = -2x₁ -2x1 - x3 s.t. X₁ + X₂ X3 ≥ 5…

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Q: [1 2 A = 2 3 3 4 6 6 = 0. Describe all solutions of Aa a = x2 +x3 +x4

A: Solution of homogeneous system of linear equations

Q: 2 [2D+5 2D + 31 D-2 ²D + ₂10²) = {²} 2

A:

Q: 三一 (b) y + 65 +9y-4-12e-3#

A:

Q: Solve the following simultaneous linear D.E. 1 6 [²D+ ₁ D + ¹])} = {e} 7 }{}

A:

Q: Problem 1- 304 3D0 11 y" - (oy" + ay'+ 36y = 0

A:

Q: The following is a LPP: Max Z- 5X1• 7X2+ 6X3 (Hundreds of dollars $) s.t: 3X1 4X2 2X3 - 90 X1+ 2X2 +…

A: when b2 = 47.2