2x+3 The average value of f(x) =- on [-1, 1] is V2-x %3D 26 OA 10/3 - 3 28 O B. -10/3 + 28 OC. 10/3 3 28 OD.10/3- 3 28 E. 10/3 + OE. 3 O F. None of these.

Q: 2. Solve the general solution for the First Order Linear DE. удх %3D (еУ + 2ху — 2х)dy

A:

Q: Soluce for dy dx Tn x +Vx y=.

A: we can find the differential using division rules as below

Q: ,6 .6 If f(x)dx=10 and| f{x)dx=3, then | f(4 – x)dx=? -2

A:

Q: Which value of c satisfies the conclusion of the MVT for the function f(x) = 3x² – 3x + 7 on the…

A:

Q: f(x)dx = f(x)dx =7, then | f(x)dx = If 4 and

A: If ∫23f(x)dx=4 and ∫35f(x)dx=7 then ∫52f(x)dx=-11

Q: Compute d (x+2) dxx-2,

A:

Q: Evaluate . (6r –10)e*dx

A:

Q: Find where the function is increasing. 2 y = x² - 3lnx, (x > 0)

A:

Q: 13 [ 1.5 11.5 13 Suppose f(x)dx= 4 14.5 (8 f(x) - 7)dx = f(x)dx = 8, 11.5 ["³ f(x)dx = 7, 14.5 13…

A:

Q: 2 2 V1-x 1-х

A: ∫un du = un+1n+1+C ∫cos(au) du =1asin(au)+C

Q: Evaluate S x³ (2 – x)² dx

A: Given: ∫x32-x2dx

Q: S 2x-1|dx

A:

Q: V- 2 dx +1)

A:

Q: 1 The value of f|5x – 3|dx is

A: Integration of the absolute valued function

Q: Differentiate the following function. 6x2 +5 y= x2 +1

A:

Q: Let 11 f(x) dx = 9, 10 Find "f(e) de = [ and nd S 9f(x) - 7 dx 10 [₁ f(x) dx = 7, [1² f(x) dx = 9.…

A:

Q: B. Evaluate the following .5 |x² – x - 6| dx -5 1.

A: The question is determine the question is evaluate the definite integral. Note -  As per our…

Q: Differentiate the following function. 6x2 +5 y = x2 +1 dx (x² + 1)< dy (x² + 1) • : (6x² + 5) + (6x²…

A: You just need to apply quotient formula in order to solve this.

Q: 2+x 9+x² (1) S; dx

A:

Q: dx 4. [(x-1)2+1]2

A:

Q: Evaluate 1 dx (x - 2)³

A: we have to solve the integration

Q: Find the following. dx 2 dx =6x V2x + C

A:

Q: 2x+1, x <0 Evaluate the function x) = at 5) %3D 2x+ 2, x 2 0

A:

Q: Evaluate

A: Consider the provided integral, ∫01lnx+1x2+1dx Evaluate the provided integral. Apply the by part…

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.