using De Moiuve's theor@m, show Tsat sin50 = 16 sino -20 sin o + 5 sin o ニ Hense salve z4 K -30%+ Ex = 3/4 こ

Q: The Newton Raphson method is also called as O a. Secant b. Tangent method

A: Newton-Raphson Method: The Newton-Raphson method  is a way to find a good approximation for the root…

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Q: 20. What is the value of SSy? (SHOW YOUR WORK)

A: For the given data ( 20 ) SSY = ?

Q: Find General Solution on this Diffential E Qution by using (uC set) =e +Sin X

A: Given differential equation is y''+y'-2y=ex+sinxfind the general solution

Q: 10 Use aepropriate substitution Ond then a trigonometric oubtitution to evaleiate the integial. dx…

A: This question can be solved using the concept of integration by substitution.

Q: Use integration by parts to show that for n > 2: / sin" x dx: 1 sin- x cos x + /sin-2 x dx.

A: To evaluate: ∫sinnx dx

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Q: .Find the estimate for the root of f(x) = sin x + cos (x² + 1) – 1using Bisection methodx, = 1. 5,…

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Q: Find the value of u in the interval 30°, 90°4 in decimal degrees, if sin u = 0.27843196. Give the…

A: sin u=0.27843196⇒ u=sin-1(0.27843196) Now by using a calculator, we have…

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A: Given integral is ∫-4-1 -x4 -10x3 -24x2 -4x+4 dx Take  fx = -x4 -10x3 -24x2 -4x+4

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Q: Given: 4 2 y = -arctan sinh 3 х — find y' at x = 2 - cosh 1 - y 1 + sinh? 1 %3D cosh 1 y = 1 + sinh…

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Q: Find a suitable method for integration of Sin (x²) x = 0,√ using a two-point sample of Sin (x²) x =…

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Q: Derive the third order dervitive formula at x = x, by using Newton's forward differences.

A: To find dydx, differentiate the Newton's forward difference interpolation formula with respect to p,…

Q: 21) Find the number of compositions M needed so that the error of the integral 2.2 In(x + 2) dx is…

A: Simpson's rule can be used to approximate the value of the integration using numerical integration.…

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Q: a 5. Using integration by parts twice, prove that the L (sin ax) %3D s2+ a=

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Q: Compute the value of the integral ∫1.40.2(sin2x−loge2x+e2x)dx∫0.21.4(sin⁡2x−loge⁡2x+e2x)dx using…

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Q: If r = (3 cosh 2t)i+ (3 sinh 2t)j+ 6tk and t = In 2 then اخترأحد الخيارات

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Q: The approximation of 1 = cos(x+10) dx using composite Simpson's rule with n-3 is: 1.01259 3.25498

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Q: on inteaurron (ii) Determine the general formula for V Pn.

A: Numerical analysis.

Q: hD (Hint: E =eD and Sinh x: 2 Q3: Prove that 8 = 2Sinh %3D

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Q: Apply Newton's Method using the given initial guess. (If an answer does not exist, enter DNE.) y =…

A: The given function is y=2x3-6x2+6x-1, x1=1 find the derivative of y  y'=6x2-12x+6, x1=1

Q: =Sin n dQ 2Q= 2. dt 10+2t

A: Given, a)y'+y=sinx b)dQdt+210+2tQ=4; Q(2)=100

Q: 7. Use integration by parts to prove that for any positive integer n, | cos"x dx = 1 cosn-1xx+ n - 1…

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Q: Can you help me solve this using L’Hôpital’s Rule?

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Q: can this be evalnated by using L'HUSpital's Rule? im x2 3x+ 2 sin(x x)

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Q: If I, = [4t 1 applying the technique of successive tan" x dx , show that I, +I,2 п-2 n-1…

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Q: The values obtain using Analytical Methods are always equal to those obtained using Numerical…

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Q: 2. By using Simpson's rule with N = 4 , 8 , and 16 Integrate the following functions et [0,1] а. Tan…

A: Simpson's Rule: S =h3 fx0 + 2∑j=1n2-1fx2j +  4∑j=1n2fx2j-1 + fxnWhere, h = b-ana = initial limit, b…

Q: per integral test, (-1)" A) Σ B) none of these en (-1)" dz behaves like

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Q: Determine the approximate integration of the following using simple & modified trapezoidal,1/3…

A: Only one question or maximum 3 parts are allowed . I did 1st integral , for other 1 please repost

Q: ons z = sin y arn

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Q: b) Use it in oonjunction with Simpson's 1/3 nule to integrate the same function for ive egmenta…

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Q: The actual error of the approximation of I = x² sin (x³) dx using composite Simpson's rule with n=4…

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Q: 8. Use Simpson's rule, with n = 8, to approximate fe sint dt. Compute the error if the true value

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Q: The approximation of 1 = f*cos(x³ - dx using composite Simpson's rule with n= 3 is:

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Q: 1. cosh (j) 2. tanh 3. 3. In(2 + j3)

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Q: Use Simpson's 1/3 rule with (n₁ = 2), and Simpson's 3/8 rule with (n₂ = 3) to estimate tan-¹(2).…

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Q: prove using the IVT. e^x + ln x = 0 has a solution.

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Q: In approximation of 4e* sin(2x) dx by Romberg Integration, R11 = O 2.6842 O 2.9736 O None of these O…

A: Use the following formulae, to estimate the integral ∫abfxdx by the Romberg integration method.…