aximize z=6x₁ + 2x₂ + x3 bject to: x₁ +3x₂+ 9x3 ≤ 108 X₁ + 2x₂ + 11x3 ≤237 x₁20, X₂20, X3 20. th

Q: Find (F÷a) an FIx)= 14,+2

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Q: he following function: =: Find fxy. f(x, y) = 5x4y6x4y5 - 21

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Q: 7.Find of z = x3 + 5x2 y + 6 02z дхду

A: find ∂2z∂x∂y of z=x3+5x2y+6 formula: ∂xn∂x=nxn-1

Q: 5. Determine whether or not the expression is satisfiable. (x₁ V2 V3)^(x₁Vx2 VT3)^(T₁ VT2 VX3)

A: If the Boolean variables can be assigned values such that the formula turns out to be TRUE, then we…

Q: 1 t² √9t² - 1 dt

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Q: 5olve The simultaneaus.equation 22 tiw - 2 2+ (1ti)w =3;

A: Given :                    2z + i ω = 2 .................(1)2 + (1+i)ω = 3i ..............(2)then we…

Q: Q = 70x + 82y       x ≥ 0, y ≥ 0 x ≤ 10, y ≤ 20 x + y ≥ 6 x + 2y ≤ 24

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Q: Hiw.S Let Asitij-zk, B=-i-kandc=zituj-zk finds A-(2B-c) 4-2AX3B saCAXB).c 6- Ax(Bxc)

A: Given that: A=i+j-2kB=-i-kC=2i+4j-2k NOTE: As per our answering guidelines, we can only answer 1…

Q: Simplify Hhe polynomral 6x² (7+X +ス 81 and with step shows that if (6=x) is polynomial fectorial or…

A: Thanks for the question :)And your upvote will be really appreciable ;)

Q: Obtain the Selution of diffnential equation Sec Y x2-4x +5

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Q: Find x and y if: 16*+2y 32*+3y 32 and 8x-y 16*+2y 8. ||

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Q: Evaluate: ,(3y – 8y* + 9y²)dy | -2

A: let I = ∫-223y6-8y4+9y2dywe know that ∫-aaf(t)dt = 2∫0af(t)dt

Q: d given the following: Sy = u² + 6u – 2 u = 4x² + 8x +1 %3D

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Q: Find A x B x C where A = {2, 5}., B = {13, 17}, C = {0} . O (2,13,0), (2, 17,0), (5, 13, 0), (5, 17,…

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Q: iven ux*² = (1,-4,0), find lữ LƯ JAC

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Q: Q1:a\ Show that a₁ a2 b₁ b₂ ₂x+d₂ c₂x+d₂ b3 c₂x+d₂| a2 xb₁ b₂ b, C₁ C₂ C3 Ja, a2 + b₁ b₂ by d, d₂ d

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Q: 3 | (16t3 – 12t? + 6)dt

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Q: Compute f. F · dr, where F(x, y) = (8 + 21x², 4xy) and C is a line segment from (0,0) to (1,2). (Use…

A: Given F(x,y)=8+21x2,4xy2        (1) Line segment from (0,0) to (1,2) is y-0=2-01-0(x-0)⇒y=2x…

Q: Find integers x and y so that gcd(3953, 1829)=3953x+1829y. x=2,y=5 x=-12,y=-13 x=-6, y=13 x=6,y=-13…

A: Solution:we have to find integers and so that first we find gcd of (3953,1829)here we see that…

Q: 3 Evaluate: (12t3 – 12t2 + 6)dt

A:

Q: Мaximize z = 3x1 + 5x2 subject to: 4x] + х, < 25 2х, + 3x, < 15 with х, 2 0, х, 2 0.

A: To Maximise  z= 3x1+5x2subjected to : 4x1+x2 ≤25                         2x1+3x2≤15 with…

Q: Evaluate: S,(3y6 + 8y* – 9y?)dy 2

A: ∫-223y6+8y4-9y2dy

Q: Find a pair of integers x and y such that 66x + 48y = gcd(66, 48)

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Q: (x²9) Lim X→3 (X+3)

A: To calculate

Q: Provide counterexamples for If (A −B) ∩ (A −C) = ∅, then B ∩ C = ∅.

A: The solution is given as

Q: Ex: 5 : R Ex: 5 € → R -5x1 – x2 – x3 T X2 x1 + 4x3 x3 Ex: 5 T -1 Ex: 5 -3

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Q: Fend all Pntegers x such that 244x=1 (mad 29) Sメ=3 (med 8) and Is0○ 小 × 小2000

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Q: Let y=-4x. As x approaches negative infinite then y approaches -3 True or False

A: Consider the statement Let y=-4x. As x approaches negative infinite then y approaches -3

Q: 1+x dr 1+ x?

A:

Q: [x – 5xxx + 4x] [4x – 5x,x + x] Muestre que: CX³NT %3D Xk-Xj 20

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Q: 3 48x12y2 V 6x6y5

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Q: Given: Min C = 3X1 + 7X2 + 5X3 Subject to: X1 + X2 + X3 ≥ 50 2X1 + 3X2 + X3 > 100 X1, X2, X3 ≥ 0 9.…

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Q: 1. Expand the brackets a. X(x+2) b. X2(x+x2) c. 3x(x-y) d. 4x2(2-3x) e. X3(1+2x -x2) f.…

A: We can solve this by properties of power of polynomials xm*xn = xm+n