A linear, time-varying mathematical model is A. 4 (1– sin 2t) + 2x² = 0 dx B. 4 + 2x2 = sin 2t C. 4+ (1– sin 2t) 2x² = 0 dx D. 4 + 2(1 – sin 2t) x = sin 2t

Q: SOLVE STEP BY STEP IN DIGITAL FORMAT 2) [sen² (x) cosª (x) dx

A: The given integral is         I =  ∫ sen2(x)cos4(x)dx           =  ∫ {1 - cos2(x)}cos4(x)dx…

Q: s sin(3x) + cos(5x) – sin sin)ax |dx

A:

Q: solle (1+ cos x) dx Sin²x dx (x-2)√√x² 4 X +3 1

A: The given integral is a complex integral involving trigonometric, polynomial, and radical functions.…

Q: Evaluate. 9- xp- dx%3D Evaluate. dx | dx = Evaluate. dx dx =

A: As per guideline we have to solve 1st 3 parts

Q: Give an example of a value of z such that the equation sin(x ) = z is unsolvable.

A: We have to give an example of a value of z such that the equation sinx=z is unsolvable.

Q: x) dx + sin? x + cos? .2

A: Given integral, ∫xx+sin2x+cos2xdx

Q: 3- cos nX Sin ux dx

A:

Q: Qlif y= fcus and u=x46x +5 U =X and - 2u -1, Sind dy dx

A:

Q: Solve S(cosa{x – +)<(1 + +) dx -

A:

Q: Calculate ㅠ 2 6³ cos² (4x) sin² (4x) dx

A:

Q: (5) a) Find the linear and quadratic approximations of sin(0.967) tan(0.26) + (0.96)²(0.26) b)…

A:

Q: d (x2+2x)(sin(x)+5) 7. Find: dx Зx+2

A: To find:

Q: The S- 3 dx is 5 sin 6x

A:

Q: -(sin³(x) + sin (x³) ) dx A 3sin'x + cos (x³) B 3sin?rcos(x³) + 3xr?cos(x³) © 3sin?x + cos (3x²) D…

A:

Q: [ arctan (1-x)]² 4x2- 8x+8

A: The derivative of the function y'=dydx is the measure of how fast the function is changing with…

Q: 0 1 (b) sin 3

A: To determine the value of the theta.

Q: A. Integrate the following. i) (2x³-3x² +5x-2) dx ii) (5 sin20+2 cos 40) de B. Determine the area of…

A: A.Integrate the following.i) integrate (2x ^ 3 - 3x ^ 2 + 5x - 2) dx ii) integrate (5sin 2theta +…

Q: 8 csc? 4x cos(cot(4x)) dx sin² (cot(4x))

A: Here, I will be using method of substitution to solve this integral. You can assume:…

Q: Evaluate. V3 sin 士 %3D 2 + = [Select] a = [ Select ] b = [ Select ]

A:

Q: sin y = cos x (2 cos y– sin²x)

A: Given siny dydx = cosx (2cosy - sin2x)siny dydx -2 cosy cosx = - cosx sin2x…

Q: Evaluate * 10 x° + sin(x) dx 10 10 1.5

A:

Q: Is this an FM or a PM signal? Explain.

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.