1. (a) Find L{e(cos 4t – 2 sin 4t)} (b) Find L {t sin? t}. [ Recall sin? A = -24 (c) Find L-{74 4o+5 } se-3s

Q: V5 1 Given that cos 0= 6 2 <e<r, find the exact value of each of the following. (a) sin (20) (b) cos…

A: As per the company's guidelines,  we are supposed to solve first three subparts for you,  kindly…

Q: sin (7π/6) + cos (3π/2)

A: Given,

Q: 1 tan(i.)) t =-+ 2h, v2 Vị cos(i.) V2 2h, cos(i.) t = -+ V2 V1 1 1 t =-+ 2h, V2 Hint: cos? (i.) +…

A:

Q: sin(26) cos(26) – 1 1 Prove the following identity: - tan(b) sin(26) cos(26) – 1

A:

Q: sin(a)= 4/5 and cos (B)= -7/25.  Find sin(2a) and cos (a-B)  ,with pi/2<a<pi and pi<B<3pi/2

A:

Q: cos( – x) + tan( – x)sin( – 2)

A:

Q: 2. (a) (b) Simplify the following expressions. tan(-0) sin(7-8) 1+cos (2+0) cos(+0)

A: The given expressions,(a) (b) .The aim is to simplify the given expressions.

Q: f(x) A B = arcsin x, then lim 1/1/12 0 ㅠ 6 f(x)−ƒ( ² ) X→ X- 1|2 is

A:

Q: Simplify to an expression of the form (a sin(0)). sin() 6 cos() sin(플) 6 cos(

A:

Q: Express each one of the following in the standard form a + ib. 1 A: (1 + i)? (iii) 3 - i 3+4i 1+i…

A: standard form , a+ i b first part = a (real part second part = i b (imaginary part

Q: Consider the given equation. cos(x) sec(x) sin(x) csc(x) – sin(x) (a) Verify algebraically that the…

A:

Q: 2-x Q.1 Write the function f(x)= as the sum of cosx+3x an even and odd functions.

A:

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: 2+ cos (1 + x»'½) .0.5x dx 22 cos (1+x³/2) V1+0.5 sin x 2,0.5x dx|

A: By using Simpson/Trapoizodal rule.

Q: Evaluate 1₁-² 63 dx 1- cos (9x) 63 dx 1- cos (9x) - 7 cot 9x 2 +C

A: To evaluate the given integral.

Q: 27. Evaluate: cos 2) - sin 6 4 /3 /2 2 2 1 V2 V3 2 2 1 V2 2 None of the above. + |

A: Hence option (c) is correct.

Q: 1- cos(0) (d) de sin (0)

A: We have to find integration

Q: (sin(t) + cos(t))? – (sin(t) – cos(t))? Simplify to a single trig function (csc(t))(2 sin(2t))

A:

Q: lim Cos (40)-1 846 Sin (18)

A: NOTE: Refresh your page if you can't see any equations. . use L'Hopital's rule

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.