(3 Points) –dx: Inx - 1| - Inx| + c

Q: dx J (x² + 2x – 10)²

A:

Q: スx dx rx2+ 36

A:

Q: divccun(B)=0

A:

Q: Vx + 3 Given f(x) = 4 then f-(x) will be %3D

A: The inverse function of a function f is a function that undoes the operation of f. The inverse of f…

Q: What are x-intercepts of the function, -2(x – 6) + 3 = y O (-7.225, 0) and (-4.775, 0) O (-69,0) O…

A: For the x intercept,

Q: t = (F³ + G)a

A:

Q: av2 (x³ – 2)(2a? – x²)2 dx

A:

Q: x dx Evaluate (4a² +9x?) 2

A:

Q: Q Find the domain of y 1- Vx + V+ 3x-x – 3

A:

Q: X-2 K = 5 3K+2X

A:

Q: -8x? + 16x + 8 dx (x – 1)2(x² + 1)

A: We will solve the problem

Q: (x t5) (x-4) dx

A:

Q: 7(t-3)=6t+21

A:

Q: The profit (in dollars) from the sale of x lawn mowers is II(x) = 20 x - 0.02 x2 - 750. The average…

A:

Q: 2 4-3x² + 5x + 2 x dx =

A: ∫24-3x2+5x+2xdx

Q: (D² – 9D)(D² – 8D + 7)y = 0 |

A: We have to find the solutions of the given differential equations

Q: Find the vertex of the function: y = 2Vx + 9- 2 O (9,-2) O (-9,-2) O (-9,2) O (9,2)

A:

Q: 2 J1 4 30x(x - 1)¹dx is

A: given integration

Q: d dx 3x+4 2x+5 z (3x+4) ² (2x + 5)2

A:

Q: 56. f(x) 16x (4x2 - V16r* + 1 V16r + 1) %3D

A: 56. Here the given function  fx=16x24x2-16x4+1 Simplify the given function as…

Q: 3x1 + x2 = 1 -4x1 – x2 = -2 Ex: 42 X =

A: Given that 3x1+x2=1 -4x1-x2=-2

Q: dx Vx3 V2 + x

A:

Q: Jx-6dx is 3(x-6)% -+c 2 Ob. (x-6) +c O . (x-6)% 2 O d. 2(x-6)% -+c 3

A: I=∫x-6 dx   Let x-6=t⇒d(x-6)=dt⇒dx=dt

Q: dx J x3 – 2x² + 9 – 18

A: Given problem:-

Q: g(x, y, z)

A:

Q: (x + 2)³ y = (x² – 4) ||

A: a2-b2 =(a-b)(a+b)

Q:

A: Given,       x-x=

Q: dx (x2 + 2)2

A:

Q: y=3x+7 what is f(-2)

A: Given,           y=3x+7

Q: ( 2x2 +3 (x²+1 )? 구. dx

A: From the given problem:   I=∫ 2x2+3x2+12dx ....(1)   Now take the partial fraction:…

Q: f(x) = 5x + 2 a.) f(-2) b.) f(5)

A: To find the f(-2) and f(5)

Q: dx x(x2 – 8x + 16)

A: Use partial fraction to solve

Q: L-1| 12 ] = ? (s-3)+ %3D

A:

Q: if var(2x) = 16 then var(x+1)

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.