%3D If a (z) = x+1, b (x) = x- 2, c(x) = x + 3, d(x) = x – 4 | a (b (c (d (5)))) %3D

Q: -x+2y=2 -x+y=-1 substitute method

A: Solve the given

Q: x+8 f(x) = 6x-8, g(x)= %3D

A:

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

A:

Q: 2y-x≤1

A:

Q: 3) f(x) =9x/チxー3 %3D

A:

Q: X2 + 2 x3 2 x2 + x3 = -1 2 x1 X2 + 2 x3 = 3 - x1 - x2 - 3 x3 = 8 2.

A:

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

A: We have given f(x) = -x2(3x+7)(x-2)(x+1)  We have to find  1) roots of this function 2) end…

Q: 4x + 5 S(x) = 9- 3x A. x = 0 B. x = 3

A: To determine whether the given function is continuous and differentiable at the given points or not.

Q: 54. f(x) = 3 – 2x² +x³, [a, b] = [-1,1] %3D

A: Given. 54) f(x)=3-2x2+x3,[a,b]=[-1,1]

Q: х+ 3 f(x) %3D x2 - 9

A:

Q: f(x) = -x² + 6x – 3, [1,5]

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

Q: 9x2 - x3 + 4x 8x + 20 dx. Evaluate Since x + 4x = x(x² + 4) can't be factore

A:

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: x -x+ 12 X-4 x -x+12 X-4 %3D

A: The equations are x3-x+12x-4.

Q: Example 3 (4x + 13)² = Example 4 (6x – 4y)2 = %3D

A:

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…

A:

Q: 3/2 X-2x +1 x(1-2/x)+C 3/2 X-2x x(1- x/2) x +2XVX +C

A:

Q: f14)=4x (xー5x +7) f'l4) %3D

A: f'(4) = 4√x (x3-6√x +7)

Q: fx+1, x<-4 + 1, 9) g(x) = %3D x-4, x2-4

A:

Q: 回+9=X 8=回+回 +億粉+( G-回=1 +A-=

A: We will solve the puzzle by assuming variables for the shapes .

Q: 5. f(x) = c= x3-x %3D

A:

Q: 3x g(x) : %3D (х — 5)(х + 4)

A:

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

A:

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: 4) f(x) = -x -4x – 3 %3D

A:

Q: min z = -3x + 8x2 4x1 + 2x2 < 12 2x1 + 3x2 < 6 s.t. X1, X2 2 0)

A:

Q: k(x) = 6z + 100 k(-5)%3D

A:

Q: 2x+ 22x 3 6. - x+1

A: In the given problem, we have to divide a polynomial by another polynomial and the division will be…

Q: x2 + 3x - 10 =

A: Given x2+3x-10=0

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

A:

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

A:

Q: solve

A:

Q: 19. g(x) = 3x2 %3D 21. g(x) %3D (2х)2

A: Here multiplication will not affect any major change in the graph. Because the origin point will…

Q: 4 = X*+5x -a x" +3 %3D

A:

Q: - д(хx) 3D VЗx2 + 4x + 1 VЗx2 + 4х + 1 2х-6 - h(x) = %3D х-5 Vx-1 p(x) : %3D 5x2-7х+2

A:

Q: x2 - 4x x2-4x+3' 44. f(x) = [a, b) = [0, 4] %3D

A: In the question it is asked to verify Rolle's theorem for the function given in question 44. Also it…

Q: y = -x-4 X-y= -6 (-5,1)

A:

Q: Factor x6 - y6 completely. Show your work. x6 - y6 =

A: We have given x6-y6 Then, x6-y6=x32-y32   a2-b2=a-ba+b=x3+y3x3-y3…

Q: Elimination of arbitrary constant 3x2y - mx = 3

A:

Q: 3) f 5x ax х+4

A:

Q: cx2 + 8x x3 - c if x < 3 if x 2 3 CX

A: We know that a function f(x) is continuous at x = a if: limx→a-fx=limx→a+fx=fa Here the given…

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

A:

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: YA x = y² – 4y (-3, 3) x= 2y - y²

A: The graph of the region between the curves is given by To evaluate : The area of the shaded region.

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

A:

Q: 8(x - 6) at x = -1

A: Solution is given as below:

Q: 15. g(x) = x² - 10x + 11 %3D

A: We have to write the quadratic equation in vertex form and write its vertex.

Q: 2x - 2 S(x) = 2x-5 %3D

A: