-0.25 Find an approximation for (1 – e**-!) In(1 – cos(,r² - 1))d.r with Simpson's rule -1.25 using 4 intervals. Show all steps and give the final answer correct to 1 significant digits.

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Q: n(3x)+sin(5x - 4) - 3 Using Centered Differencing. h = 0.002 O 4.86693212 O 4.876145534 D…

A: Equation is f(x) = ln(3x) + sin(5x - 4) - 3

Q: solve

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Q: Q3. (30pt) Calculate the integral 2x³ – 4x + 1 - (1– cos x) dx 1+x? a) for n= 10 according Simpson…

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Q: Find the indicated derivative or integral a. D, (3** * ) c. D, log,, (x³ +9) –3x а. D, b. |x 2* dx…

A: We know that Dx ax = ax·ln(a) Dx af(x) = af(x)·ln(a)·f'(x)   ∫ax dx = axln(a)+C   Dx loga x =…

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A: we have to find the value of L{sinh(6t)-cosh(t)}

Q: [UCONN 1071Q] Let f(x) = (e+ln(x2)). Which of the following represents the first derivative f'(r)?…

A: .

Q: Evaluate answer = 5 5 cos(x) ln(1 + x²) + x4.6 1+ el.63x-66.3 dx.

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Q: Find the general solu tion of the diFRerential equation (Dー+60ト9 こ Cos 3メ

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Q: Q3) Find the derivative of y for all functions the following (1) y = 0 (sin (In 0) + cos (In 0)),…

A: Since you have posted multiple questions, we have solved the first question for you, if any specific…

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A: Given,           coshx-sinhxsinhxcoshx=2

Q: 10 Use Simpson's Rule with n = 8 to approximate f cosx dx. 2

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Q: s2 L-1 (s² + a²)² 1 [sin at + at cos at] 2a

A: If the Laplace transform of a function f(t) be F(s), I, e L{f(t) }=F(s) then f(t) is called an…

Q: 2a's at L{sinh at sin at} = (s* +4a*)

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Q: ii) Simpson's Rule with n = 2, gives √2².5 3x dx The error in this approximation is

A: Simpson's 13 rule: ∫abydx=h3(y0+4(y1+y3+...+yn-1)+2(y2+y4+...+yn-2)+yn), where h=b-aN and N is the…

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Q: 7/2 79. Prove that 0< sin x dx < Ja/4

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Q: Question 2 2.4. Approximate the intergaul Simpson's rule with f ẻ sin xóa n = 3

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Q: 3. 2√3 sin 2x = -√3, [0, 2π)

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Q: dn Find a general formula for den by identifying a pattern in parts (a) through (c). To begin,…

A: We use the given details and differentiation formula to find answer

Q: 9. cos (2t) dt 10. " sin?t cost dt /2 11. sin'x cos?x dx 12. (2 sin0)² d®

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Q: Given the graph of h(x)=e^x and g(x)=cos x over the interval [-2,2]. Find the negative root by using…

A: Formula: The secant method iteration formula is given by, xn+2=xn-fxnxn+1-xnfxn+1-fxn Given: h(x)=ex…

Q: We want to approximate sin x on [-1,1] with an error smaller than 0.00001. What approximation should…

A: The function f(x)=sinx in [-1,1]The error is smaller than 0.00001