p5 _3ar4 +23r2 h (r) 4r2

Q: f-8=-5 of %3D

A: 1. Given Data Equation 1: f-83=-56 Add 83 on both sides of the given equation (1).…

Q: max z = 4x1 + x2 s.t. 8x1 + 2x2 < 16 5x1 + 2x2 < 12 X1, X2 2 ()

A: LINEAR PROGRAMMING PROBLEM: BY graphical method

Q: 4b² + = 2 b2 1 8b3 + b3 Presh Talwalkar 1.

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Q: li. 2+z=2.

A: I am providing the solution of (ii) only as follows below :

Q: (X1 + 3хz — 5хз + 3x4 3 3 -Зх, + 2х, + 2х4 3D —14 -2х, + 4x2 — 5х3 — Зх, 3D 8.

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Q: 0.5 y n/2 t 3π12 2n -0.5 -1.5 --2 -2.5 -3 -3.5

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Q: the valueof 2 (3 * 2) what is the x * 3 = 0? if yalue of

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Q: T : R² → R³ -3x1 + x2 (:) 3x2 x2 2x2 Ex: 5 : 5 T Ex: 5 -1 Ex: 5

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Q: elimination of first degree variable:   2x-3y=2 4x-6y=11

A: The given system of equations consists of two parallel lines and two parallel lines never intersect…

Q: f(x) = 2x° - 3x2 - 36x + 8 Q (-5,5,1] by [- 90,90,10]

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Q: 3(-2a³)² – 2(-3a²)³ 3(-2a')-x2(-3a ²)³

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Q: 2s-3 Find Ll4s+5 s2–4s+5 |

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Q: 2. y" - Зу' +2у %3D е** + 6х3 — 2+ 3sin(4x)

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Q: L-1 (s³+3s²-s-3) . (s²+2s+5)²,

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Q: 45. (a) + 2y -- - 2y 3 (b) x+ 2y- 10 - 2y- -6 47. (a) ,+ 2,

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Q: Q2: Rationalizing: 1. 8. 3/2 2. 3 5 + /6 3. V7 - 3 4

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: 5. 1 Z+₁ 3z 2 dz

A: Topic = Integration As per guidelines , At a time only one question can be answered. please repost…

Q: 9s + 7 F(s) = 2s2 + 2s + 4

A: Given: F(s)=9s+72s2+2s+4

Q: 9-4x2 16x² dydx 2 3/2 H/2

A: We will solve the following.

Q: Max Z = 5x1 + 6x2 Subject to: 3x, + 4x2 5 76 8x, + 9x, s 123 3x, + 3x, s 56 X1, X2z0 What is Z, x1 &…

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Q: Max Z= 5x1 + 7x2 S.T X1 + X2< 4 3x11 + 8x2 <24 X1 and x2 2 0.

A: The LPP is given as Max z=5x1+7x2 subject to x1+x2≤43x1+8x2≤24x1≥0x2≥0 We will solve it by Graphical…

Q: -X1 + 4x2 + x3 = b1 X1 + 9x2 – 2x3 = b2 6x, + 4x2 - 8x3 = b3 (1) b, = 0, b2 = 4, bz = 0 (ii) bị = -…

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Q: V10 x (Væ² +1 – Væ² – 1 d.x .2 - - V5 Vx4 – 1

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Q: 2. z4+5²

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Q: 4. Solve for x1, x2, x3, x4 2x, + x3 - X, + 4x4 = 19 -X - 2x3 + x, + 2x = -3 2x, + 4x3 + 2x3 + x4 =…

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Q: N 9x2 + 9x -4 I 20x² + 47x+24 T -16x² + 10x-1

A: Evaluate.

Q: 2x³ y³ by 5x²y⁵

A: Simplifying the given expression

Q: max z = 3x1 + x2 s.t. 2x1 + x2 < 6 X1 + 3x2 < 9 X1, X2 2 ()

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Q: 2x1 - 3x, - 4x3 s. t. X1 + x2 + xX3 + S1 = 30 2x, + x2 + 3x3 - S, = 60 х - х, + 2х, X1 = 20 X1, X2,…

A: Let 2x1-3x2-4x3=Z The given problem is Min Z=2x1-3x2-4x3 subject to…

Q: 6. V-361v-529 = -539 7. V11

A:

Q: 21 -8- + 2r3 2r3 3 -4 3r + 6r2

A: Given 2 x1 - 6 x3 = -8 x2 + 2 x3 = 3 3 x1 + 6 x2 - 2 x3 = - 4  Now we will write given information…

Q: 4 (-1)*- k² k=2 3k II

A: Simplify the product as follows. ∏k=24-1k×k23k3=-12×22323-13×32333-14×42343

Q: 2 x² = 3y² +4z²

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

Q: 4s2 + 3s %3D s2

A:

Q: 42. Right triangle 4x²-1 3x + 8

A: Given;  Height =4x2-1 and base=3x+8.

Q: (89z-4/5 - 30z23 – 67z514) dz = %3D

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Q: ky5 | 7 (x³V5+ 8)(5k² - - x2 dx

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Q: 4. xy-4z2 = -7; P(-3, 1, –2) %3D

A: According to the guideline we should have been able to solve only one question at a time

Q: Find the fourier series coefficient of following three signals.

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Q: ez = -2

A: Solution :-

Q: 18x°z³ 53 sume that all variables represent positive real numbers.

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Q: 2) v = (z* - 2z + 1)ž

A: Given: v=z4-2z+132

Q: 2. S(-18z +36)( - 2z - 4) dz

A: We need to evaluate the following integral ∫-18z+36-2z-4dz Formula Used: ∫zndz = zn+1n+1+C

Q: substitution method for 4x+y=14 and 5x-2y=11

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Q: 3. 2S-1 s2-6s+18

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Q: V¼ = + 6K) Vị (1 + K³ + 5K² 4 ||

A: Given that V4=V11+K3+5K2+6K To find it's derivative .

Q: 5s + 4 83 2t5t³ Option 4 None of the Choices 2t + 5t³ Option 3 Option 1 5t + 2t³ 5t - 2t³ Option 2

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Q: 10 1. V5 x (Vr2 +1- Vx² – 1) Var4 – 1

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Q: (4) S . Hint: = | (-). (x²2. -4)² (교2-4)2 %3D x+2

A:

Q: Y=-7x+10 y=-5x+8 in substitution method

A: Given, The system of equation  y = -7x+10  y = -5x+8   We have to solve by substitution method.

Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as: