frx)= 3x-7 (f+9)(-2)= (f.g)(4)3= %3D (9-f)(5)= (1f)の=

Q: dx 4. 3 3 х3Vx2—9

A:

Q: 51. y = 3x + (V3 – 5): and y = -J3x + (-/3– s)

A:

Q: 3) 2dx 2dx (3x+12x-15)호 x(3(\nx)"+1지lnz-15)호

A:

Q: 8s2 -4s+12 1. F(s) s3 +4s

A:

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

A:

Q: 5.f (x) %3D In(4x3 — х2 — 2х + 5)

A: Given the function,  f(x)=ln4x3-x2-2x+5 Differentiating the function with respect to x,…

Q: бу + 4z Зх + Зу = -24 %3D -6 %D 2x 3z = 4 (х, у, 2) -

A:

Q: 5s+3 6s 8 F(s) - (5s2+4s+1) s2+7 9.

A: The laplace transform formulas for e^(at)cos(bt) and e^(at)sin(bt) will be used in solving this…

Q: 1. (4D-23D³-33D²-17D- 2. 2. d^x dx +39³ x db db³ db² -27d²x 62

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Q: 2s-3 Find Ll4s+5 s2–4s+5 |

A:

Q: Min Z = 5x1+10x2+2x3 s.t: 7x1+3x2+2x3 > 50 8x1+x2+3x3 0, x2 Unrestricted x3 <0

A: We are given the following system. Min Z =   5 x1 + 10 x2 + 2 x3 subject to   7 x1 + 3 x2 +…

Q: L-1 (s³+3s²-s-3) . (s²+2s+5)²,

A:

Q: E(-4X + 4) = | 5z - 4X - 0 %3D 4 Var (sz) + 5 0 E(2x*) - I

A: Given,  E(X)= -6 E(Y)= -9 E(Z)= -7 V(X)= 32 V(Y)= 38 V(Z)= 37

Q: 8. f(x) = (6x² + 7x)* 9. f(t) = (4t² + 3t + 2)-2 10. f(x) = (5x* – 7x)2/3

A: The given functions are: 8. fx=6x2+7x4 9. ft=4t2+3t+2-2 10. fx=5x4-7x23 Find the derivatives of the…

Q: 1. f(x) = (5x2 + 3)(2x³ = 3x – 4) 2. f(x) - (3x4 – 4x3 + 2x – 7)3 -

A:

Q: fs=メー4 f(3)3= %3D

A: Substitute the value of x in given equation

Q: - 25. 16: Substitution Method ( 2a3 + 3z dx x4 + 2x2

A: To find the integration of followingI =∫2x3+3xx4+2x2dx

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) %3D — х3 + х2 — 8х + 4 1. 3.

A:

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: max z = 2x1 + 4x2 + 3x3 S.t 3x1 + 2x2 + x3 10 X1, X2, X3 > 0

A: Enter the LPP in excel sheet:

Q: y = f(x) %3D 10 8 4 -10 -8 -6 -4. -2 8 10 -2 -4 4) 2.

A: From the above figure we can conclude that f(-6)=-3.

Q: - 6x² +15x² ,7x+6 Evaluate:[ dx. V2x² ,2x +1

A:

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: 4 (a² - y²)² 4. g(x) = (3x² + 4x - 5)5 3. 2 =

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

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Q: e-7x - 2e3 et f (x) = e- *+16e10* + 2e-4z

A: (a) Consider the provided limit, limx→-∞e-7x-2e3x-exe-x+16e10x+2e-4x Evaluate the provided limit.…

Q: Evaluate f 3x²e3" dx Select one: ㅇ (9z2 - 6z + 2)등 + C O (9x² + 6x + 2) + C e3x + C 9. O e3* + Ç

A:

Q: (x2-3) Cx²+ 2) S dx J3xx3

A:

Q: (4+y- sy³)ldy Vỹ 3

A: To evaluate the given integral.

Q: x + 2 = 2x - 19 Subtract Response area from both sides and you'll get... 3x + 2 =   -19 Subtract…

A: We have to find x

Q: folynomial PC-2) Sx-2x+6

A:

Q: - 48x3 – 80x2 – 70x – 126 dx Integrate: 16x2 + 25 + C

A:

Q: Evaluate +3 +C 3 3 arctan 6 A. C. -arctan- 2 +C 6 x² /3 -arctan- 6 x² /3 V3 В. -arctan +C D. +C 3 2

A:

Q: 4s2 + 3s %3D s2

A:

Q: #6

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Q: 2) Min(Z) = 4X1 + 6X2 S.T. 5X1 + 10X2 12 X1,X2 20

A:

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: d^x d³x db4 dx +3. -27d²x -62- -24x=0 db³ db² db

A: We are given linear differential equation of order 4. 2d4x/db4 +3d3x/db3 -27d2x/db2-62dx/db-24x=0…

Q: 2. f (x²-16) ²/2 dx x3

A:

Q: tions: (4, 7); y = 3x + 6 %3D

A:

Q: - 25a³ + 25x² 19x + 19 -dæ Integrate: 25x² + 16

A:

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

A:

Q: 4. y = (4x – 5) e² ²-2z+1 -2r+1 5. y = a(10z²–8z+7)

A: As we know that; The Power law: ddxxn=nxn-1 The Chain rule: fgx'=f'gx·g'x The Product rule:…

Q: Sa4-2x3)5(4x3- 6x²) dx

A:

Q: Max Z = x1 + 3x,+ 4x3+ 5 S.t. 4x1+ 3xz+ 2x3+x4<10 X1 – X3+2x4=2 Xi+x2+X3+X421 X1, X2 ,X3, X420

A: The given problem is:

Q: 3s+6 F(s) = s2-4s-5

A:

Q: 33) f(x) = |2x- 1| %3D 57 3 2 1- 5 4 2. 1 3. 1- 2 3- 55 5,

A:

Counting Principles

In statistics, the counting principle can be said to be the concept in which the quantity of an item is determined. There can be a single item, or a group of items, or items that are related to each other. In every possible set of items, the quantity of the possible item groups or their sorting measures can be determined with counting principles.