2 4 3x 63. f(x) 64. f(x) 65. f(x) 3 + x 2 - x x + 2 2x 2x Зх + 1 66. f(x) : 67. f(x) 68. f(x) = - 1 Зх — 1 Зх + 4 2х — 3 2х — 3 2х + 3 69. f(x) 70. f(x) 71. f(x) x + 4 x + 2 72. f(x) : — Зх — 4 73. f(x) 4 x > 0 74. f(x) x² + 3 x > 0 х — 2 2r2 3x2

Q: 5. f(x) = x², 6. f(x) = 1- - g(x) = 4x + 5 3 x + 3 7. f(x) = x + ₁1/2x - 3, g(x) = 1 x-1 g(x) = 3

A: As per guidelines we can answer only one question at a time so if you need more answer kindly repost…

Q: 9. f(x) = x³ + x² –- 17x + 15 10. f(x) = x² – 8x + 7

A:

Q: 3) f(x) = 2(x + 2)3 – 2 10 21 10 -8 -6 -4 -2 2 4 -2 6 8 10 -4 -6 -8 -10 4.

A: We have to construct the transformation from the parent function.   NOTE :: As per our guidelines we…

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

A:

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: 1. 2.1 y--x+ + 2x + 2x-4 3.1 4.1 y-2x-

A:

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

A: LINEAR PROGRAMMING PROBLEM: BY graphical method

Q: X 8. 9 10 11 2 13 14 0 1 -11 4 5 -2 -3- F1 F2 --4 VI V2 --5· --7 -81 -6-

A: Consider the graph

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

A:

Q: Max Z=3 x1+2 X2 s.to -X,+2x2 <4 3x1+2x2 S14 using Graphical Method X1-X2 S 3 X1 , X2 20

A:

Q: 19) 1+ V3 mult. 2 A) f(x)= x* – 7x' + 8x + 4 B) f(x) = x* – 4x³ + 7x² + 8x + 4 - - 3 = x* + 4x' + 8x…

A:

Q: MAX Z = 12X1+ 14X2 SUBJECT TO: 2X1 + 3 X2 < 24 2X1 + X2 < 16 X2 < 10 X1 , X2 2 0

A: The objective here is to solve the given Linear Programming problem. Max Z=12x1+14x2Subject to:…

Q: Solve: x = 3y = -24             3x + 4y = -1

A: To solve : Following for values of x and y     x - 3y = -24 . . . . 1 3x + 4y = -1. . . . 2

Q: 6. f(x) = x* – 3x³ + 2x2 – 5x – 7 at x = - 1 8. f(x) = V3x - 10 at x = 2 10. f(x) = 6x –6 at x = 0

A: For function to be continuous  at a point x=alimx→af(x) =f(a)6) f(x)=x4-3x3+2x2-5x-7    at x=-1…

Q: F(x)=4x+2 and g(x)=x-1 Find (a) (Fog)(4) (b)(gof)(-6) (c)(fof)(3) (d)(gog)(-3)

A: According to our policy, if there is more than one question, we only solve the first question.…

Q: 7. (x+2)² = 25 = X+2 = 土25 =メ+2=±g2 ニ×+2=±5 EX%3D5-2 TX 31 X+2F-5 X=-5-2 X= 3,-7

A: yes , it is correct and i am solve other method can you help them.

Q: In Exercises 1–4, use graphing software to determine which of the given viewing windows displays the…

A: 1) This function fits most appropriately in [-5,5] by [-25,15]…

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: [2x+1 f(x)={-2x+3 if x21 if x 2 3. f(-4) = f(8) = f(2) = X-1 if x4 f(-1) = f(-4) = f (5) =

A: (?)  f(-2) =2x+1 (x&lt;1)          = 2(-2) +1         =-3 f(6) =-2x+3 (x&gt;=1)         = -2(6) +3…

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

A:

Q: MAX Z = 6x1 + 4x2 subject to 2x2 = 0

A: NOTE: Refresh your page if you can't see any equations. . for simplicity use variables     given…

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

A: Enter the LPP in excel sheet:

Q: Max z = 5X1 + 8X2 Subject to: X1 = 0

A:

Q: 3) Ar) = VF g(x) = V-(r + 2) – 3 4) Ax) = VF g(x) = - Vx + 3 5) Ar) = Vx g(x) = -2 Vx - 1 6) Ax) =…

A: We have to find translation

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: $. 12-1 (2²+-)(2-2) 1-4z+6z² 1 -dz .d

A: note : As per our company guidelines we are supposed to answer ?️only the first question. Kindly…

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

A:

Q: 3 x + 3 ' 7. f(x) = x + 2x - 3, 3 2 8. f(x) x-3 x-2’ 6. f(x) = 1 -- = g(x) : - x - 1 g(x) = 3 = g(x)…

A: We can find the value of 'x' for which f(x)=g(x) . Note : As per our Guidelines we can solve first…

Q: Max Z = 3x1 +5xz+ 4x3 2x1 +3x2 + 0x3s8 3x1 +2x2 + 4x33s 15 Ox11 + 2xz + 5x3 10 X1, X2.x3 all 2 0.

A:

Q: 1 -1 0. 2 1 -4 -4 3 -1 X2 X3 14 -1 52 - 2) 1 %D 4 -2 -4 6. X4 2.

A: Write the augmented matrix of the given matrix. 1-1202-31-43141-45-1-14-2-4652 The goal is to make…

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

A:

Q: 5)(* 8. f(x) = x2(x2 - 7)(2x + 3) 9. f(x) = -x3 + 2x2- 2x +2

A:

Q: V4-x² x2+y2 4-x² x²+y² xdzdydx + ædzdydx V1-x² 0,

A: The given integral is∫01∫1-x24-x2∫0x2+y2xdzdydx+∫12∫04-x2∫0x2+y2xdzdydxWe have to convert integral…

Q: y = (1+ v) (2 - 2V=) 11 5 3 -3x+-x 2- 3 -3x 2 2 11 5 - 3. O Option 2 O Option 1 3 5 2 2 3 5 2 2 11 5…

A:

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

A:

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

A: The given expression is2xx2+1-x3+5x-x4-7 expand the given expression and then simplify to obtain the…

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

A: We have to solve

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.

A:

Q: ) f(x) = V4 - シx-2 x- 2 %3D 1 8) f(x): %3D 9) f(x) = 1 %3D Vlx|-x 1 10) f(x) %3D |x|+x^ 11) f(x) =…

A:

Q: 1 g(x – 2) (x – 4)(x + 2) ii) 2(Vx² – x + Vx – 8) 2 iv) g(x² + 6)\F(-x) = x2(x + 1)2

A:

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: 5- 5x? (x² +1)² -2x? –8 10х - 30х (x² +1)' 4x(x² +4) (x² – 4)' 5x a)* f(x) = ;f (x) =: -; f "(x) =…

A: Using the given informations you need to find out the domain, increasing &amp; decreasing interval,…

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

A: Given: fx=-2x, fx=-2x+2, fx=-2x2-5 We know that ddxxn=nxn-1…

Q: 2 cy² = x² + y

A:

Q: 6. f(x) = 8x³+81x²-42x-8 *no need to sketch x+4 7. f(x) = 2x++x+8 8. f(x) = x³ +7x² - 5x

A:

Q: 1. f(x) = Vx2 – 4 (x²–9) 2. f(x) х+3 х+8 3. f(x) x2 +x-2

A:

Q: √3 3-x² √√3√ √√3-x²√1 4-x²-y² 1 dzdydx

A: Explanation of the answer is as follows

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: 4.t=3-2x2ー15x+14 5.k)-8x4-43x-15x2+101メト70 l6.(x)=x+5x3-27ッ2 -10x-70

A: As per guideline we have to solve one question Please repost other question again 2nd question is…

Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.