Find all solutions of the following equations. (a) 5 cos(2x + 3) = sin(2x + 3) (b) 20+ 90 sin (3(t – 2)) = 100 (c) cos(3r - 7) = 5 (d) 8 cos(5x) = 3

Q: A ball is drawn randomly from a jar that contains 5 red balls, 7 white balls, and 4 yellow balls.…

A: From the given information, there are 5 red balls, 7 red balls and 4 yellow balls. The total number…

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: (4) = - V2 -1 cos 4

A: Given,            cos-122=-π4

Q: T 10+ f¹(2 cos²x-cosx-1)=8, f(-2)=0, x= 0, 2 Solve for X.

A:

Q: sin²(x) = √2cos(x) = cos²(x) + √2cos(x) + 2

A:

Q: 0 1 (b) sin 3

A: To determine the value of the theta.

Q: Q: Solve y+8= Cos (x) ナ3sin(2x)

A: Given: y''+y=cos x+3 sin 2xCE: m2+1=0⇒m=±iCF: e(0)x( Acos x +B sin x)=Acos x +B sin x

Q: (4e" + 5x* + 5 cos x)dx 4e" + x + 5 cos x + c O et – x + cos x + c - O et + x5 – 5 sin x + c 4e" +…

A:

Q: Compute | a° sin(æ" + 2) dæ.

A: Given : ∫x6sinx7+2dx

Q: What is an equation for the cosine graph shown below? -135 -90 -45 -11 -10 +9 8/ -7 -6 -5 3 2 1 45…

A: Given query is to find the cosine equation of the function.

Q: 8 cos5(α)/(sin(α))1/2 dα

A:

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: Solve cos(2x) + cos(x) = -1

A:

Q: Sketch the graph of f by hand and use your sketch to find the absolute and local maximum and minimum…

A:

Q: #1) Solve: 2 cos²x − cos x = 1 on [0,2π) —

A: Given ,  2cos^2(x) - cos(x) =1 on [0,2pi)   Substitute  u  for  cos⁡(x) .  2(u)2−(u)=1…

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.