- Apply the secant method to find an approximate root of the equation g(x) = cos(x)-x. Use initial guesses xo = 0 and x₁ = 1. Perform two iterations and provide the approximate root.

Q: b. y - y'cosx = y² (1 - senx)cosx

A: Introduction: The Bernoulli's equation is an extension of linear first order differential equation…

Q: 2 (a) when x = 0.3; xstarts = f(xstarts) = (b) when x = 0.7 xstarts = f(xstarts) = _xends= f(xends)…

A: Given equation is     f(x)=8x3-8x2-8x+1                    ⇒         f'x=24x2-16x-8 2(a) .   Choose…

Q: Find the solution of the equation = e cos y which tends to zero as x → 0o and has the value cos y…

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Q: Differentiate implicitly the function y(x) given by the equation y=cos(x+y).

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Q: solve using newton raphson f(x)=cos3x

A: As per the question we are given a function : f(x) = cos(3x) And we have to find the root of the…

Q: Solve f (cosh 4x + sinh 2x) dx then evaluate the answer at x=-7 and C=33

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Q: determine the value of k which will make h' (π/4)=6 when h(x)=In(cosx)+kx. a. 6 b. 5 c. 0 d. 7

A: Given, hx=lncosx+kx We have to find the value of k for which h'π4=6

Q: H.W Use N.R.S method to solve the f(x) = tan x - x, using x0= 5, and use three iterations.

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Q: 2 cos x 4. Consider the function f(x) = x2 find its derivative

A: Given function: fx=2cos xx2Differentiate the above function w.r.t 'x' f'x=ddx2cos xx2

Q: 21. Solve the equation y' = (x²+ 7) / 9 (2x / 9) + c b. y = (x / 18) + c 22. Solve the equation y' =…

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Q: y = sin x cos6x x CO

A: Introduction :

Q: Dsinx-sin3x [3] sin³x = find D and E. %D E

A: Solve for D and E

Q: 10. y = 11. h(x) cos x+2 sin 2 tan x 12. y= Csex 13. y= cos- 14. h(x) tanx sec x-1 cot 2 15. f(x) =…

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Q: Find the root of the function using Newton's Method f (x) = cos (x) + 2sin(x) + x? %3D

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Q: 8. у %3D sec (2 — Зх) 9sec (2 – 3x)tan°(2 – 3x) C. 9 sec (2 – 3x) tan tan (2 – 3x) D. – 9 sec (2 –…

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Q: Determine exact solutions for the equation 2 sin?x- 3sinx +1 = 0 in the interval x e [T, 3n].

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Q: 20 csc(0) = 9 find sin(0).

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Q: 5. Does cos(x) = x³ have a solution? Explain. %3D

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Q: Find sin (x- π/2) if cos x=0.65

A: On solving this we will get

Q: Solve y′ + cos(x)y = cos(x).

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Q: Find an equation such that y xe" cos(2x) is its solution.

A: To find an equation we derivative both side with respect to x.

Q: Q7. Solve the following equations: cos 4x-sin' 4x+x

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Q: Near the grounds of a building is a windmill h(t)=2 cos (30t)+6, where h(t) is the height of the…

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Q: Using the Method of Undetermined Coefficients, give an appropriate guess for yp. y(4) + 9y" =…

A: Given the DE is y4+9y''=cos3x+4x2. Guess the particular solution of the DE.