31 5! sinx?= x?- 12 317 X. 3! ソヤメ Xパ_X16 dx 51 7! 6. 13 1> Y03! 1305t 17.7 Use any method to find the first 4 nonzero terms of the function 1 f(x)%3D (1+3x)² Simplify the terms. fig=(1+3x) Fx=(1-B30)² %3D

Q: - Find the extrema of the function S(x)= 5 sin(2x) – 2x² – 4x - - Using Newton's method initial…

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Q: (iii) 1 dø -sin²Ø Hint: may start with de (T(1/4)} /2 Vcose to obtain the result

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Q: b) [F(x) then find f(x). If 3 In(x)/ sin(3x) − 3e³ + x² + 3. - f(x)dx= 3 ln([x]) + 3x + C

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Q: 2. Determine one real root of 8 (sin x) e-² – 1 = 0 xo = 0.30 using Newton-Raphson | with %3D Method…

A: To solve the following problem, we use the Newton Rephson formula

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Q: 8- Evaluate a) Sz? + 4 sin(8z) dz 1+9cos(8z) бх- х2 b) S 3x. csc² dx x3-9x2+8

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Q: a) sin2021 (2mr)dr re gln z b) Ip- c) | In(csc r) cot rdr 1 d) 2r – a2 et - e- dr ez +e- e) 을 In 3…

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Q: 5 2 +2 ) dx using Estimate I - n = 4 subintervals and (a) Left endpoints. (b) Right endnoints.

A: solution:-I=∫152x+2dx,     n=4f(x)=2x+2∆x=5-14=1(a) Left end pointI=∆xf(1)+f(2)+f(3)+f(4)…

Q: %3D In( cosh(9x) + sinh(9x)) + In( cosh(9x)- sinh(9x)) = Select one: O None 0 9 O zero O9 cosh(9 x)…

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Q: What is L - 2s +3| ? 5s² – 10] A. -2cos 2t –3.sin 2t 8. cos ār -sin v31 sin 3t 3 C. cost --sint 2 D.…

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Q: Find L{(1 – t) (3 + 2 sin 5t)} . O 3 3 2s 10s §2 s2 +25 (s² –25)² 3 3 + s3 s(s2–25) 10 10 s2 (s²…

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Q: 2 Z = 31 + (Sin 28 + ((ase Ÿ -(Sin@) Fined Iz1 12

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Q: Find L{(t- 1) (2 - 5 sin 3t)}. 15 30s s2+9 (s²+9)? 2 15 15 s2 (s²+9) s(s² +9) 15 15 3-号- 3? (s²–9)…

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Q: Q2-4 * Amount Equal sin(2x) J (D²+D+l)° (5sin(2x)–12cos(2x)) (5sin(2x)–12 cos(2x)) (5sin(2x) +12…

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Q: 13)Evaluate 13 Evaluate the integral s 5x--Xt27 dx x (x²+G) -1 3 tan 3+C b)(-ト2フx)、1mlxCx?ss)1c Sx3…

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Q: Jx у36 — х? dx .5 - 12x + C 5 5 (V36–x²)* )' - -X – 12(V36 – x² + C 5 7776 sin³ (x) – 2592 sin³ (x)…

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Q: a) For 0 ≤ x ≤ 1, show that < x². √2 + x b) Use the estimate in a) and integrate it to prove that…

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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.…

Q: sin 2t sin 5t 10 58s2+ 441 20 s4+58s2 +441 84 O Option 3 Optlon 4 O Option 2 O Nons of the cholcss…

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Q: S 4x* sin2x dx A (2xª + 6x² + 3) cos 2x + (4x³ + 6x) sin 2x + C C (2xª – 6x² • 3) cos 2x + (4x³ –…

A: Integrating by parts : ∫u.v dx =u∫v dx -∫dudx∫v dxdx dxndx=nxn-1 ∫cos(ax)dx =1asin(ax)+C ∫sin(ax)dx…

Q: What is L s+2 (s – 3)* - 9 e cosh3t +e sinh 3t 3. A. 3r 8. e sin 3t 3. B. e cos 3t + 3/ 3r 2r C. e…

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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: Which of the following is true? ® Ssin(3x)cos(4x)ax =S sih(7x)= sin(x) A 2 ® Jsin(4x)cos(3x)ax = […

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Q: What is the particular solution of the function 2xe3 sin 7x – 8x?? O Aa? + Bx + C + Exe3, cos 7x +…

A: NOTE: Refresh your page if you can't see any equations. . . the second function is  which is a…

Q: In( cosh(8x) - sinh(8x)) - In( cosh(9x) + sinh(9x) ) = Select one: O zero O 17x O None Ox O 8X O- 17…

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Q: 2. Estimate the root of f (x) = tan x - 13 csc x + 4. Use Newton:Rapbson's method with initial x¡ =…

A: given f(x) = tan(x) - 13csc(x) + 4 So f'(x) = ddx(tan(x) - 13csc(x) + 4)       = sec2(x) +…

Q: L- ( In s4 (s2+9)(s²+4) + cos 2t + sin 3t cos 2t+cos 3t - t 2 cos 2t – 2 sin 3t | sin 2t + cos 3t -…

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Q: The integral of the given function | sin 9x cos 4x dx is equal. .... 13 cos(5x) — 5 сos(13x) А. + C…

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Q: x + 3 Q10: Evaluate dx. 5 + 4x — х2 5 sin¬' (*) | + V5 + 4x – x² + C 3 -5 sin-1 (x 3 -)- V5 + 4x –…

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Q: 2 +3 Evaluate S4) (-2) (22+4)(- dx. Enter In(x) for In(x), abs(x) for |x|, and arctan(x) for…

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Q: In( cosh(3x)+sinh(3x) )= Select one: O 3 sinh(3 x )+ 3 cosh(3 x) O- 3x 01 zero None O 3x

A: Formula to be used sinh x = [ex– e-x]2cosh x = [ex+ e-x]2

Q: 6. Evaluate |2 Sin xʻdx, by (i) mid-point rule, and (ii) Simpson's 1/3 rule.

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Q: 8x + 1 10. Evaluate the integral / dx. 4.x2 + 12x + 10 11 (a) In |4.x2 + 12x + 10|| tan-(2x + 3) + C…

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Q: Integrate the function. 49- dx 11x 7 49- х2 7 49- x 2 O A. In +C + 11 11 V49- x? +C .2 11 49- х2 Ов.…

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Q: Aitken acceleration method

A: Given: A function is given by f(x)=1-4x cosx +2x2+cos2x To find: The solution of fx=0 starting with…

Q: Q5) Use Simpson's 3/8 rule to compute the approximated solution 1 where f (x): defined at the…

A: The objective is to estimate solution of fx=1cosx+4x over the interval 1,4.5 and n=7 using Simpson's…

Q: 26. If cosh 2z = ° then the positive valuc of sinh 2r is 4 B D com

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Q: I need help with #57. The last line is where I am stuck .

A: To compute the value of the definite integral.

Q: 1261 (2x+1 dz 4-3x -x² 1 (((x+) dx (3) 28 (2x-3 dx √(x²-1) (2x+3) 31 32 33 dx √(x²+1) (2x+1) alx…

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Q: S₂ 10 x 4x²8x +9 in14 (x-1)² +51 + √5 tan¹ (²²) + C Option 1 In 14 (x-1)² +51 + √5 tan¹ (2x = ²2) +…

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Q: 3. Jlgu * Solve the D. E. to the I. V. P. sinx(e + 1)x- cosx - 1, y(0) =0 In (1 + cos x) =I+e O…

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Q: 2/solve the differentialequation by using methad af Variation of (complete salution is vequired)…

A: Given equation is y'''+9y'=1cos11x               (i) Let us consider y'=z. Then, eq. (i) is reduced…

Q: L-' (In (s²+25)(s²+16) cos 5t-cos 4i O -2 cos 2t – 2 cos 31 O 2 cos 5t – 2 sin 4t sin 4t-cos 5i t…

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Q: 33 2Vx- f (x) (1–3t) (t³-8) T Sin sin 2x + Ve2x + 2x – In e, x + 1 - 1-x g(t) = t # 2 2-t

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Q: x1'=2x1 + 2x2 + t x2'=-x1 + 2x2 + sint  x1(0)=1 ve x2(0)=1 sistemini çözünüz

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Q: 6x² + 5x + 16 S x3 + 3x² + 2x + 6 5 Injx+31+ In (x² + 2)√2 tan ¹() + C Option 1 5 Injx +31+ In (x² +…

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Q: 2 e3s [(s + 2)4 + 13(s + 2)2 + 36] 2e-21+6 u(t – 3) (sin(2t – 6) - sin(3t- 9)) sin(2r-6) 2e-2'u(1 –…

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Q: 4 sin 18x + 8 cos 9x dx. sin? 9x + 2 sin 9x + 5 Q10: Determine 4 А + C 9 In sin 9x + 2 sin 9x + 5| 4…

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Q: 2. By using Simpson's rule with N = 4,8, and 16 Integrate the following functions SOLVE PART B eX…

A: We need to use Simpson's rule to evaluate the integral. So, we need to find ∫0π4Tan X dX If we need…