Find f. a) f '''(x) = cos(x),    f(0) = 7,    f '(0) = 8,    f ''(0) = 8   b) A particle is moving with the given data. Find the position of the particle. a(t) = 19 sin(t) + 9 cos(t),    s(0) = 0,    s(2?) = 16   c)A particle is moving with the given data. Find the position of the particle. a(t) = t2 − 9t + 4,    s(0) = 0,    s(1) = 20

Q: 12 3. (sin x)y' +y cos r = r sin a,

A:

Q: Find f. f"(x) = cos(x), f(0) = 3, f'(0) = 6, f"(0) = 4

A:

Q: Find f. f(0) = = f"(0) = sin(0) + cos(8), f(0) = 3, f'(0) = 2

A: f"θ=sinθ+cosθ Integrating both sides  ∫f" θdθ=∫sinθdθ+∫cosθdθ f'θ=-cosθ+sinθ+C..... (i)  Put θ=0…

Q: Find f. f"(x) = cos(x), f(0) = 6, f'(0) = 4, f"(0) = 9 f(x) =

A: We can find the value of f(x) as below.

Q: Given f"(x) =| 16 sin(4x) and Find f

A:

Q: Find f. f"(0) = sin(0) + cos(0), f(0) = 3, f'(0) = 4 f(0) =

A: Objective is to find f.

Q: Find f. f"(θ)  = Sin θ  +Cos θ , f(0)  =3 , f'(0)  =4

A: Given functionf"(θ)  = Sin θ  +Cos θ , f(0)  =3 , f'(0)  =4we have to find , f(θ)

Q: Find f. f(x) = f ''(x) = cos(x), f(0) = 4, f'(0) = 5, f "(0) = 7

A:

Q: Find f. f ''(t) = 4et + 6 sin t,    f(0) = 0,    f(?) = 0

A: To find f. f''(t)=4et+6sint,f(0)=0,f'(0)=0

Q: Find f. f "(t) = 8e + 8 sin t, f(0) = 0, f(n) = 0 8e' + 8 sin (t) + 8 – 5e" -t - 8 f(t) = | Need…

A: Solve intial value problem ( IVP)

Q: Find f. f(0) = f "(0) = sin(0) + cos(0), f(0) = 1, f(0) = 1, f'(0) = 3

A: Given that the expression

Q: Find f. f"(e) = sin(e) + cos(8), f(0) = 2, f(0) = 2 f(e) =

A: Given problem:- f''(θ) = sin(θ) + cos(θ) , f(0) =2 , f'(0) =2  To find:- f(θ)

Q: Find f. f '(x) = cos(x), f(0) = 6, f '(0) = 3, f "(0) = 5

A: Differential equation: f'''(x)=cosx f(0)=6, f'(0)=3 f''(0)=5

Q: Find f. f(0) = f"(0) = sin(0) + cos(8), cos(8), f(0) = 1, f '(0) = 3

A:

Q: Find f. f"(8) = sin 0 + cos e, f(0) = 1, f'(0) = 2 f(e) =

A:

Q: Find f. f"(8) = sin(0) + cos(8), F(0) = 5, f(0) = 4 F(8) -sin(0) – cos(0) + 5x + 6

A:

Q: Find f. f "(0) = sin 0 + cos 0, f(0) = 1, f'(0) = 3

A:

Q: Find f. f"(x) = -2 + 12x - 12x, f(0) = 7, f'(0) = 18 f(x) =

A: “Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Find f. f"(8) = sin(e) + cos(e), f(0) = 5, f'(0) = 4 f(e) = 5t – sin (t) – cos(t) + 6

A: Here we have f''θ=sinθ+cosθ, f(0)=5, f'(0) = 4 fθ=?

Q: Find f. f "(e) = sin(e) + cos(e), f(0) = 5, f (0) = 4 f(e)

A: Just use the basic integration of trigonometric and then find the value of integration constant from…

Q: Find f. f(x) = f"(x) = cos(x), f(0) = 1, f'(0) = 3, f "(0) = 7

A: Given: , , , To Find: To find .