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:

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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…

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

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

A: Objective is to find f.

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

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A:

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

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A: Given that the expression

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

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

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

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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 .