5. If (2x- kx' +2k) dx = 12, then k must be %3D (А) -3 -3 (B) (C) 2 (D) 3

Q: 2x Find dz 8x + 4 + C

A: Evaluate

Q: 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

A:

Q: what if y(0) = 6 instead?

A:

Q: (2x) y (2x+4) (3y+8) 7. mZP = mZR = %3D R.

A: Some Properties of Cyclic Quadrilateral In a cyclic quadrilateral, all the four vertices of the…

Q: dy If y = (5x + 1)(2x +In x), then will be %3D dx (5x + 1) +) + 5(2x+ In x) A. -1 B. (5x+ 1) - 2. +…

A: The given problem is to find the derivative of given function y=(5x+1)(2x-1+ln(x)) , we can use…

Q: Compute -(-x - 3x²-x). ď² da²

A:

Q: 2(a + 3x) = y - 4x for y

A: Given query is to solve for y.

Q: 2 X 2.- (D*- 4D +4)y = x *

A:

Q: If x = (1/2)a + (2/3)b + (3/4)c c=(12x-6a-

A: The detailed solution is given below Thank you

Q: What if y(0) = 5 instead?

A:

Q: 6. (9x-6x'+7x²-Sx+15 dx 3x

A:

Q: y³ +9y²

A: Factorise the given polynomial  y³ +9y²

Q: 480 62 (2x)/ 14 (3y) 26 a = 16

A: From the image : 3y=48°22x°=360°-220°a=14And,2b=16.

Q: 4.у%3D (2х — х3)(2х + 1)

A: Follow the procedure given below.

Q: Find (4z² + 3z")dz -1

A: In this question, we need to find the integral of the given function.

Q: (3x/5y) (y2/6x)

A: The given expression is                                     3x5yy26x Now we simplify this given…

Q: What is the inverse of the function 2х + 1 f:R → R, f(x) ? 3.

A:

Q: sx2-9x-6 dx x3-2x2- 4xt8

A:

Q: S (3×412メ -15)2 2dx

A: The integral is solved as follows :

Q: 12 -6x dx 15

A: We are asked to solve the indefinite integral. The solution of the integration is as follows:-

Q: 2. Show that (2x + i)(2x– i) = 4x +1 %3D |

A: Prove the equation

Q: 1. Differentiate: y = 3(²-1) A. (In 3) 3(x²-1) C. 2x (In 3) (3x²-1) B. (2x) 3(x²-1) D. x²(In…

A:

Q: (D2 + 6D +9)y

A:

Q: Compute ď² dz² -(-x² − 3x² − x).

A: use differentiation of polynomial function.

Q: 8x(x? + 1)3 dх .2 1)³dx -2 Inx 4. 1/4 xp() 3.

A:

Q: 1.f x² + 3x + 2dx

A: Given query is to find the integral.

Q: Find the center and radius of each circle.

A: Center is (-1,-6) with radius 4

Q: 6. [(x+ 2)/ (3x + 2)] = [(3x² + 4x- 4) / ?] %3D

A:

Q: For fx) = 2x+ 1 and g(x) = x2 - 7, find (f- g)(x). %3D O A. 2x2 - 15 O B. -x+ 2x- 6 O C. 2 - 2x- 8 O…

A:

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.