Find the steady periodic solution Xsp (t) = C cos (@t-x) of the given equation mx"' + cx' + kx = F(t) with periodic forcing function F(t) of frequency F(t) w. Then graph Xsp (t) together with (for comparison) the adjusted function F₁ (t) = mo x' + 4x' + 14x = 11 cos 3t X.. (t) =

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A: (a) The given functions are fx=-13cos2x (b) The given function is gx=2sinx4 (c) The given function…

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Q: Find the length of the func tion based Vange de fincd belouw: the on 10<x <29 10

A: We have to find the length of the given function in the range 10 ≤ x ≤ 29. y = 110ex+e-9x

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Q: 1. a) Find the successive derivatives of the following functions: (x' +80x²)* ii) Z (x* +10x +20) 21…

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Q: 8. Find the function Sthat satisfies the given conditions. )S"(=) = sin r – e-2" with S"(0) = } and…

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Q: If f(x) = cos(2x) then find II f (t|4)

A: Given query is to find the Indicated derivative.

Q: Compute the second order derivative f"(x) for f(x) = 3x* -/x. %3D 36x2- 4x2 Ob.36x2 + 3/2 3/2 1 OC.…

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Q: 3. Find f. (a) f"(x) = x + 12x² %3D

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Q: The equation cos (10x) = sec (50y) defines y as an implicit function of x. If it is known that, y'…

A: Given: cos10x=sec50y To Find: if y'=10sin10xgythen gy is equivalent to: Concept: i. ddxcosx=-sinxii.…

Q: Given that f"(x) = cos(x), f'(T/2) = 8 and f(T/2) = 6 find: || f'(x) = f(x) =

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Q: T (8) If g(x) = sin(x) *cos(x) find g'(-).

A:

Q: JO (5) Find the derivatives (a) d # t ( * cos(2³) dz + 35e) 4

A: Since you have posted multiple questions i can do first question as per our company guidelines.…

Q: c If f" (x) = 18 cos 3x and f' (0) = f(5) = 1, find f(x).

A: The solution of the problem is given in the next step.

Q: x () - (-). y (1) J

A: Givenf(t)=sect   We are required to find f''π4

Q: If 7'(t) = (cos t, e2t, 3t²) and r(0) = (3, 1, –2), find the function 7 (t).

A: Given. f'(t) = (cos t , e2t , 3t² ) To calculate the vector function are we need to integrate the…

Q: Find all horizontal and vertical asymptote(s) that the function f(r) = e'/= cos| (4) might have.

A: Concept:   The calculus helps in understanding the changes between values that are related by a…

Q: f(x) = 3x cos ƒ'(x). -1 (2x + 4) − √√/19 − 3x², find

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Q: Given that f"(x) = cos(x), f'(T/2) = 2 and f(T/2) = 12 find: %3D - f'(x) = f(x) =

A: Given: f''(x)=cosx

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A: We integrate our function for calculating the desired value and use the given conditions.

Q: Find f. f(x) = f"(x) = cos(x), f(0) = 9, f'(0): = = 8, f "(0) = 6

A: Given,  f'''(x)=cosx, f(0)=9, f'(0)=8, f''(0)=6

Q: (a) Use f(t) = a cos (b(t- c)) + d to model these conditions. (b) Evaluate f(1) and f(7). (a)…

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Q: * Find y as a function of æ if y" – 8y" – y' + 8y = 0, y(0) = 4, y'(0) = -6, y" (0) = 130. y(x) =

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Q: Find y as a function of a if y(0) = 6, y'(0) = 24, y"(0) = 108. y" + 36y' = 0,

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Q: Find ƒ if ƒ' (t) = 5 csc(t) (csc(t) + 2 cot(t)), 0 < t < π, and ƒ (7) f f(t) = = -10√/2

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Q: Find g'(x) given that g(x) = x° cos(Tx) os (πα)

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Q: Find derivatives of: 1.) f(t)= 7t          2.) g(x)= 3x-9      3.) h(v)= v3 4.) m(x)= π2

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Q: f(z) = cos(4r +5) %3D

A: we have to derivative  we know that  d(cos (ax+b) ) = -sin (ax+b) a                        = - a sin…

Q: Find f if f'(x) = 2 + cos(x), ƒ(0) = 10, ƒ(π/2) = 6. 2 f(x) = x² − cos(x) – (n - + - (x + 10 ) x +…

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Q: f(x)=cos(x) Glx)こxや+1 d f(9(x) = t3 clx

A: We have to find derivative