If f) (E-1) and g(x) = (-1) then the function () (x) is (2z-5) %3D (2x+5) (2x-5) (2x+5) (x-1) (x-1) (x – 1) (2x+5). (2x– 5) (x) (2x + 5)

Q: x #2 2 x² – 4 Vx² +1-Va² +1 X-a V3x -3 よ#3 3 x - 3

A: We have to evaluate the given limit.

Q: V9x3 57x2+96x +48 Q8 Compute limao 125 +37x4 +50x3 +145a2 8x-12

A: Consider the given expression for which limit has to be calculated:

Q: 1. f(x) = (3x² – 5)(2x* – x) 2. y = (6x³)(7x*) 3. y = (3x2 -1)(x² + 5x + 2) %3D -

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Q: 9y - 3) - (x + 1)² = 9) 4. :Graphical Method l(x+1)² +9(y – 2) = 9 5

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

Q: X^2y"-xy'+2y=xln^3(x)

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Q: b. 3a-2=10 C. 4+7x=x+5 D. 3(x-1)=2(3x+7)

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Q: x 4) g(7) = g(4) = g(-28) = %3D g(-2) =

A: The given piecewise function is: g(x)=-5,        x≤-2x2-2<x≤4x-4x>4

Q: 3. f(x)=-5sin ax+- 江x- +2 2

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Q: f f(x)=x4 and g(x)=x3, then f′(x)=4x3 and g′(x)=3x2. The Chain Rule multiplies derivatives to get…

A: Given chain rule multiplies

Q: 3) Chain rule: y = (3x2 - 3x- 2)2 1/2

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Q: x' – 4x² +7x-9 x-3 A x3 4x + 3 In Ix-31+ C * * + 4x + 3 In Ix-31 + C C x3 - 3. 3 B x3 D x3 *+ 4x + 3…

A: ∫x3-4x2+7x-9x-3dxthis is an improper fraction, hence do divisiondivision…

Q: Minimize: Z = 20X₁ + 10X₂ + 80 Subject to: X₁ + X₂ + X3 ≥ 6 2X₁ + 4X₂ + X3 = 20 2X₁ + X₂ ≤ 5

A: The given LPP is as follows. Minimize Z= 20x1+10x2+80x3x1+x2+x3≥62x1+4x2+x3=202x1+x2≤5x1,x2,x3≥0 Add…

Q: Maximise Z = 5x1 + 6x2 Subject to X1 + x2 0 and integer

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Q: 4. у- (x+7\5х-2) 5x+3 5. g(x)= 7x+ 2 3-2х 6. у- 4х-3

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Q: g8 + 3x² – 9 ÷ (x+3)

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Q: 23) Expand: 2x{x² + 1) - (x° + 5x - x* - 7) A) x* - x² - 3x - 7 B) x* + 2x - 3x -7 C) x' +x - 3x + 7…

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Q: d the solution set for the E x2 + 4x = 2 2x2 - 8x - 1= 0 4x2 + 2x = -2x-1 x2 – 4x + 7 = 2 x2 -x = -7…

A: There are multiple question. as per company policy kindly ask other question separately. formula…

Q: 3. f(x) = x² – 4Vx - 2(x3/2 – 1) f'(x) = 2x3/2 + 1 f"(x) = x3/2

A: Just apply all the condition for finding maxima and minima..and all other points as I have done step…

Q: 3h(2)+4g(1) h(x) = {-3x forx= 2} g(x) = {x2+2  forx=3}

A: Given,          hx=-3xfor x<24x+1for x≥2          gx=x2+2for x<3x3for x≥3

Q: x2-9 2- V2x + x-1

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Q: 4. f(x) = 4x -3x +x+16 %3D 5. f(x) = 3x* +2x –4x² +5 6. f(x) = 2x -12x-3x-24

A: Given:   Equations is given

Q: f(x)= x^2-4x g(x)= x^2+3x+8

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Q: X1 Xi + 2x3 , X1, X2, x3 ER – 4.x2 T: R³ → R², T x2 X3 - x3 ||

A: So first we prove that the given transformation is linear

Q: Differentiate: g(x)= (2x³ – 1)(x³ + 2) g'(x) = 10x* (2r³ – 1) + 3r²(r³ + 2) g'(x) = 10x“(2³ + 2) –…

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Q: 0,x1 x+2,x<-1 f (x)= %3D 2,x2-1

A: Interval notation is a way to describe continuous sets of real numbers by the numbers that bound…

Q: -4x-y=-18 4x+5y=10 Use elimination method

A: We have to solve

Q: 5- A. 3. C. +X+ P 上一站 -- V -4x 一 --年 -c + c -c

A: Topic:- integration  Note :- as per our guideline if more than one question uploaded than only first…

Q: x² + ax - 2bx - 2ab – x - 2ax2 - 2bx2 dx x* + ax² – 2bx2 - 2abx

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Q: 3x1 – 2x2 + 2x3 = 0 6. Solve *1 + 2x2 – 3xz = 0. by Cramer's rule 4x1 + x2 + 2xs = 0 -

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Q: X-2 9) f(x) = %3D x2 - x - 30

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Q: x² + ax − 2bx - 2ab-x³-2ax² - 2bx² dx x² + ax³ - 2bx³ - 2abx²

A: The given integral is  ∫x2+ax-2bx-2ab-x3-2ax2-2bx2x4+ax3-2bx3-2abx2dx To evaluate the integral.

Q: f4) = (/4x² +8 - x²)* (8x + 4x)V4x2 + 8 - 24x - 32x V4x2 +8 If then f'(x) =

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Q: 1. f(x) = x-3 2. f(x) = x-2 3 3x+2 3. f(x) = x+5 4. f(x) = x+8 x-2 x+6x+8 5. f(x) = x-x-6 2 2.

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Q: x²-12px%=D6p(x-22 %3D 2.2.1 5a2 -2'5 b2 -5(a²-5b²) ー4 (at2) (x +2) %3D 2.2.2

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Q: 4. f(x) 5. f(x) = 8 - 25x 3x²+5x-20 [-3, 3] (-2, 2)

A: To find the extrema of the following functions :-

Q: x² - 4 x2

A: Consider the given piecewise function

Q: 11. fAx)=(4x -72 +2) - (9x +3x -7x) (a) 1 (b) 2 12. fx) = (-2x -4x+1)(5x -7x +2xr-1) (c) 3 (d) 4 (e)…

A: 11: Given polynomial is: f(x)=(4x4-7x2+2)-(9x2+3x4-7x)f(x)=x4-16x2+7x+2

Q: f(x)=4x-3, g(x)=x+4, (f+g)(x)=

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Q: g1 (x) -2 11 -1 8 1 -1 g1 (x) -2 -11 -1 -8 0. -5 1. -2 1 5, 2. 2.

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Q: F(x)=1/3x^3-1/2x^2-12x+4 Domain [-4,5] F’(x)=x^2-x-12

A: To find the correct option

Q: x-4 x-2x-8 ギ-4 x# 2 メ-2 ネ-2 I+2 r-4 x+2 x#4 x-4

A: We have to find simplification

Q: e-2 h(x) 1 + e(3x² + 8) %D is e-2(-2)(1 + e(3x2 + 8)-e(3x² + 8)(6x)(e=2) O h'(x) = (1 + e' e(3x2 +…

A: Given query is to find the derivative of the expression.

Q: x+3, x<-2 4) f(x) = {2x - 2, -2 < x< 3 %3D | (-x+4, x23 -6 4

A: Given piece wise function,  To sketch the graph of the above function.

Q: Match the polynomial function with its graph. 5 graphs in total. First three have been removed as…

A: Since we are entitled to answer up to 3 sub-parts, we’ll answer the first 3 as you have not…

Q: E Method: X – 2x3 + 3xz = 9 -x, + 3xz – x, = -6 2x, – 5x, + 5x3 = 17 x1 = 1 x2 = 1 x2 = 1

A:

Q: X -2 -1 0 1 2 y=-4x3 + 2x+1 현 1" 2nd 30 X -2 -1 0 1 2 3 y = -3x4 + x-1 D 1st 2nd 30 4th

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Q: x2 - 10x +5 x2 - 4x+4 A. x2 + 8x + 24 x2 + 6x -9 D. x2 - 4x - 4 x2 - 8x - 16 E. F. G. x2 - 16x + 64…

A: We use completing square method

Q: 5e-3t е6t — 2e-3t -dt +e3t

A: We have to solve the integral: I=∫5e-3te6t-2e-3t+e3tdt=5∫e-3te6t+e3t-2e-3tdt   ...(1)