0 0 2 5 0 0 Det -3 1 4 5 2 1 1 2 2 0] by cofactor expansions. Compute Show the details of your method and computation steps.

Q: sin(7n) A 1. n2 (-7)" C 2. n=1 (-1)" A 3. 4n + 5 (n + 1)(2² – 1)" - 4. 22n Vn 5. (-1)", n+ 5 C n=1

A: 1. the given series is ∑n=1∞sin7nn2 the given series converges absolutely. therefore, the correct…

Q: 3.4 Find the residue of f(2) = (1 – 2º) sin(1/2).

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Q: Use Euler's method to obtain a four-decimal approximation of the indicated value. Carry out the…

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A: Solution is given as below:

Q: 16. Use Theorem 12 to show that 2n r=0

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Q: Given the Taylor polynomial expansions sin(h) = h-++0(h') and cos(h) = 1 h2 h* 3! %3D 21 +0(h) 4!…

A: The sum of the approximations can be calculated by the addition of the approximations. The orders…

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Q: 19. f(8) = 8 - sin²(20) 9 8sin(20)cos(20) a. f'(0) = 9 32sin (20)cos(20) b. f'(8) = 9 32cos(20) c.…

A: fθ=89sin22θ take derivative f'θ=ddθ89sin22θ

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Q: Show that sin (2n + 1)z 2n +1 { 7/4 */4 0<まく

A: We will use complex analysis to solve the given infinite sum.

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Q: Use Euler's method to obtain a four-decimal approximation of the indicated value. Carry out the…

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Q: 6. Consider the ODE system below f = y? - ,2 = y +?. Which of the following is true? a. Solvable by…

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Q: Example 1: Find length of the cardioid r = a(1 – cos 0) %3D | from 0 = 0,0 = 2n

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Q: Using the 2-transform solve Untz + 4unti 734n=3" with u-0,, =1 %3D

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Q: ♥ дzu ахбу = сезх созу, Ans: u(x,y) = sinx siny + x² + 2 cosy - #2² X 1 бу исx;#) =X бx U(x,п) =X,…

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Q: Can there exist two solutions y1, 42: [-10, 10] R to the ODE y = V1+ sin (ry) %3D with yi(-10)…

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Q: 5- Consider the following finite difference approximation Uij+1-Uij * (ui+1, - 2u., + ui-1,) +(4+1,…

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Q: 6. What is the coefficient of x'y" in the expansion (4x + 5y) s. Show your work here:

A: We find coefficient of x7y8 in the expansion (4x+5y)15

Q: Evaluate J J-36z² dz 1 sin (5æ) + C 6. O_ 1 -1 sin (6x) + C O_1 sin (5x) + C 6 -1 1 Osin1 (6x) +C 6.

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Q: TExercise - Google Chrome A Not secure my.thinkwell.com/tes axercise.cfm back 6 of 25 Use the…

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Q: Evaluate the integral. 1/2 |[cos 9t i- 3 sin tj + sin? 3t k] dt T/2 | (cos 9t i- 3 sin tj+ sin 3t k]…

A: We have function ∫0π2r(t) =∫0π2[cos9t i -3sint j + sin23t k ]dt

Q: Use Euler's method to obtain a four-decimal approximation of the indicated value. Carry out the…

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Q: Jse Euler's method to obtain a four-decimal approximation of the indicated value. Carry out the…

A: Given: dydx=2x-3y+1, y(1)=6 f(x,y)=2x-3y+1, x0=1, y0=6, h=0.1…

Q: я/4 4 sin (4t) dt. 9- cos (4t) Evaluate the integral я/4 4 sin (4t) dt%3D 9- cos (4t)

A: Use integration by parts

Q: Ho = 0,~Po(x) = { 3 otherwise Hz = 0,~p1(x) = 1 Osxs1 O otherwise

A: It is an important part of statistics . It is widely used.

Q: Express as a product a. cos 5t + cos 6t b. cos x + 2x

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Q: Find (1,0) where y2 + x2 + eV = 0

A: Given y2+x2+ey=0 ⇒y2+ey=-x2⇒ddx(y2+ey)=-ddx(x2)⇒2ydydx+eydydx=-2x⇒dydx(2y+ey)=-2x⇒dydx=-2x2y+ey

Q: 3. 00 25] Compute Det 00 4 5 31 -2 1 1 2 2 0 details of your method and computation steps. by…

A: Given:       Matrix =0025004531-211220 Determinant by cofactor expansion:     Subtract row 4…

Q: 2k sin(k/n), 212 lim is A-1 1. cos(1) +5/3. 2. cos(1) + 1/3. 3. cos(1) +2/3 4. cos(1)-1/3.

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Q: F.(3e-3 sin(2x')) is equal to 2 3. n 4+@² 3 cos 8 4 3. 7(1+o² 4 cos 4 4 1 3, 1 +4cos 4. 4 2 1+@ 4…

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Q: 3.4 Find the residue of f(2) = (1– :4) sin(1/2).

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Q: Determine the folowing integrais: 32+8 1.1 4x+6 1.2 +3r-10 1.3 se (sin Sx)cos Sx dr

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Q: sin(k/n), lim is 1. cos(1) +5/3. 2. cos(1) + 1/3. 3. cos(1) +2/3 4. cos(1) - 1/3.

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Q: 4. Use the first Fundamental Theorem of Calculus to find 3r 2-1 dt 12 +1 sin 2z

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Q: 4.3 Can you show me the steps to solve 19?

A: The given definite integral is,

Q: lim (1 - cos(3x))sin(7x) of (c) 이이 O 0° O 100 O o. c0 O co - c0 O not indeterminate 8 %

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Q: f5cos(1-5x) dr = O - 5sin (1 – 5x) + C O -sin (1 – 5x)+ C 一 sin (1 5x) + C 5 - O sin (1 – 5x) + C…

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