x1 J: (x2+2x)2 dx= (x2+2x)3 C (x2 2x)3 C + 3 (x2+2x)3 +C 6 22-1C + -2 2x)1+C

Q: y = V1 + 2x (1 - x) -3 11+16x А. 33х+48 С. 3(1–x)*(1+2x) (1+2x)" (1–x)* 5+6x В. 4x+5 D.-…

A: Consider the function, By the product rule of derivatives, we know that and chain rule of…

Q: 4) f(x) = x³ dr) = (3x)³ + 3 3. %3D

A:

Q: 1. 2x2 + 4x + y = 0,y = 2x %D %3D

A: Given :

Q: (a) / (2.x4 + Vx3 + 4e* + + 8) dx - (b) / = x3 + 3x – 4 dx - x2 (c) (x + 4)(x³ – 9) dx .3 -

A:

Q: c - [² x ² (1 - √x ) ³dx 0

A: In this question we have to evaluate the Integral.

Q: х* + аx — 2bx — 2аb - х3 —2ax* — 2bx* dx х4 + ах3 — 2bха — 2аbx?

A:

Q: x - 4y – z = 11 3. 2x – 5y + 2z = 39 -3x + 2y + z = 1

A:

Q: Sx) = 3r + 4x² f(x) : 4x - 2 44. f(x) %3D %3D

A:

Q: Solve the system of linear equations.

A:

Q: D² -2D+1 2 2X 1 [e-²x (x²-1)]

A:

Q: 3x + 5x #2. R(x)= 일 때 R'(0)을 %3D 1+3x° + 6x° + 9x°

A:

Q: I (Inx)³ nx-X

A: Let u and v be the function of x  Then∫uvdx=u∫vdx-∫(dudx∫vdx)dx

Q: (3-5x) 2. (3- 1y(r – 1) d (3х - 1) (х —1)2

A:

Q: Help solve all 3

A:

Q: x- 3 +C 4 dx3D - 17+6x – x² +3arcsin = - V7+6x – x²

A: Show that ∫x7+6x-x2dx=-7+6x-x2+3arcsinx-34+C

Q: Evaluate fx²e¬*dx A. -x2e-x – 2xe-x – 2e-x+c B. x²e-x – 2xe=x – 2e-X+C с.-х?е-х — хе-х- 2е-х+с D.…

A: ∫x2e-x dxBy using integration by parts=x2∫e-xdx -∫2x∫e-xdx=-x2e-x+2∫xe-xdx

Q: 4x + 8y 28 -4x - 8y = -28 (x, y) = 7-2c, c %3D

A: The given two equations are: 4x+8y=28                (1)-4x-8y=-28         (2)

Q: -2x+ 4 3) (12 + 1)(x – 1)2a: | + 1)(z – 1)2da

A: We will solve the problem

Q: 4x — у %3D 11 and 2x + 2y = 18

A:

Q: d. xy' - y - 5x* – 3x² + 2x = 0 when x = 1 and y = 2 - 3x² + 2x = 0 when x = 1 and y = 2

A:

Q: 70. 4y" +5y' - 2y = e²+xsinx

A:

Q: 3. Z[ynd = 3z²-Z 212-18 %3D

A: In this question, we have to solve the given Z equation. Here we take inverse Z-transform for the…

Q: V4-x2 i * " 4-x2-y2 Jx²+y² ydzaydx 1-

A: As the limit of the integration of y and z are function of x and x,y respectively. So to find the…

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: c. f(-8x)√√3-4x² dx d. S dx 6x² (4x³-9)3

A: I am going to solve the problem by using some simple calculus to get the required result of the…

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: 6) f(x) = x³ %3D glx): 2)3 %3D 2.

A: Given query is to describe the transformation performed.

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

A:

Q: 8(x) =x' +2 а. b. f(x)=- х+2 с. у3Vx-3 d. h(x) = 5e**3 - 2 е. у - 1og,(3x -1)

A: Dear student. You have posted many parts, according to the policy We will answering the first…

Q: Зх — у %3D 2 x + 2y = 10 x = 2, y = 4

A: As per the company guidelines we can solve first question. I hope that the given solution will help…

Q: 2r2-12r+18=o 2x+12x+21=O 2. yL+2x-Y=D

A:

Q: O a. x3 + y= 2 2 7x = byر*"3e-x- 2 + Oc. O C. y= -2x/2x -1 3 = y2+ ر3 - فرod

A:

Q: 6. y = ekx 7. f(x) = (6x2 + 7x)4 8. g(t) = (4t² - 3t + 2)-2 %3D %3D

A:

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: C2 (2+/4-x2-y2 (x² + y² + z²)/² dz dy d /4-x² J2- 4-x²-y2

A:

Q: O . للدالة (1 + Y = (2X-2)x2 فان قيمة المشتقة لها تكون J. Y" = 6X4 4X + 2 ب. 1+ Y- = 6X + 4x2

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: (²-1) x(2x* – 2x² +1) dx is equal to 2x* - 2x² +1) x(x² –1) (2x* – 2x² +1) (b) (2x* – 2x² +1) (2x* –…

A: The given problem is to integrate the given function. We can't use standard formulas to solve so we…

Q: (2D 3D-2)X+(D+ZD-494-4 D+HX+LD+2}y=o

A:

Q: A 2 In Ix-11+C B 2 In 1x-11-2+C S dx 2x (x-1)² C¹In Ix-11+C с D 2 In 1x-11+2+C

A:

Q: Solve the system.

A: 2x+y=6 .......(1)x-3y=17 .........(2)3x+2y=7............(3)Multiply equation 1 by 3. We get,6x+3y=18…

Q: (x²-2y+xz) dydzdx= -2°1

A: Given        ∫03∫-21∫12(x2-2y+xz)dydzdx=

Q: T1 + x2 + x3 =1 4.x1 + 3r2 – a3 = 6 3x1 + 5x2 + 3r3 = 4

A: We can write our linear  equations as 11  143-135  3x1x2x3 = 164, this is of the form AX = B, We…

Q: f(x) = 2x(3-x2) x²+9 %3D as x → -∞

A: Solve the given limit as,…

Q: #3) f(x) = (2x – 9) (3x - 5)3 %3D

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

Q: 1.у %3D 5e2x 2. y = ex²+2x-1

A: The variable y' represents the derivative of the function. Differentiation of the function helps to…

Q: h(x) = 4x –7 %3D f(4x-7しリ-5x+7 fCAx-7)=-らしいメープ)+ 9. fC4メー7) -20x+

A:

Q: 2) J (2x2 - 6x) dx B) - x3 - 3x2 +C + C D)를3-3x2+C + 3x + C

A: Here is the problem of integration  ∫( 2x² - 6x)dx  2x³/3 - 6x²/2 + C  2x³/3 - 3x² + C  So D is…

Q: 04: Show that y = 35x - 30x +3 satisfies (1-x)-2+20y = 0 da

A: We have to show y=35x4-30x2+3 satisfies 1-x2d2ydx2-2xdydx+20y=0