Expand the fi) In 2 sin functon to the furie Series x=-In

Q: Find T(v) by using the standard matrix and the matrix relative to B and B'. T: R² R², T(x, y) = (2y,…

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Q: sin -:

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Q: Prove that, 32 52 Cb

A: We use the Fourier series to prove the given statement.

Q: 2/7,545

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Q: How large should n be to guarantee that the Trapezoidal Rule approximation to 8 n = 4 (-x¹ + 22x³ -…

A: (a)How large should n be to guarantee that the Trapezoidal Rule approximation  to is accurate to…

Q: Suppose that f() Nin z on (0, ]. Find its Fourier sine and cosine series.

A: Given that f(x)=-16sinx The formula for fourier sine series is,…

Q: Find hale reange Sine series Ex 2 (odd fourier sseries) For the function

A: Given function is: f(x)=x, 0<x<π2π2, π2<x<π Here, L=π f(x)=∑n=1∞bnsin(nx), where…

Q: Find the trigonometik Fouer series for the peode sigral fe) shown in figre bekw over the inerval…

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Q: Find all compositiion series of Z60

A: find the all composition series of Z120 .

Q: function f(x) = x as OLX 22 Expand the cosine series in sine series in 0 2x 42.

A: Here given that f(x)=x. We expand f(x) as cosine and sine series in 0<x<2.

Q: Apply taylor ex pansion and Eind Series fox the tan?x at

A: To find:  Taylor's expansion for tan2x at x=π/4 Taylor's expansion for f(x) at x = a is given by:…

Q: In (1+ Sin x)

A: Let's see what's the general series expansion of a function f(x).

Q: use Fourier sine series, consider f (x) = x² on [0, n] to compute 1+1/2² + 1/3² + 1/4²... . and take…

A: Given, fx=x2 on 0,π So, the required series in the form of,…

Q: Can the function In (1/(1 z)) be expanded in Laurent series in the domain Iz1> 1?

A: Since z>1 then 1z<1, Now, we write the function f(z)=ln11-z      =ln1-z1-1z…

Q: 7) FIND THE MACLAURIN SERICS FOR

A: To find the Maclaurin Series for fx=ln11-x

Q: o<×くT ② Foのコ 2 [:

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Q: 4) Find the radius connergen ce g the power series Pixl = n 31 s) Find the inler ral f in 4) abone.…

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Q: tan-(x) - x Use Maclaurin series to evaluate lim

A: We have to evaluate the limit limx→0tan-1x-xx3 using the Maclaurin series.

Q: Sine a IF fox)= cesx Find Fourier series のくズくズ

A: Fourier series is significant in mathematics, specially in the signaling process. Every periodic…

Q: Tind the vudivs and interval of convergense of the powe Series, (-2)" (x+2)" San

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Q: fun c tro n flL-x)= -fex) for EI odd n Suppose that f 1s odd for for tho n an {x/ -Lcx<L4. and…

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Q: find fourier Series of the given periodic funchion Cast - x <t<o %3D cos't

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Q: Let T be the function T: R³ R2 given by + (1)-[*] (ED) T (a) Show that T is a linear transformation.…

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Q: Find the Maclourin series of tHe follow. (sinx dx e

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Q: find Laurent series of @sinhz= (2n-1)1

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Q: Find the first four nonzero terms in the Maclaurin series for cos²x-sinx. (Do not derive the series!…

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Q: 1 1) Find the Taylor Series for - X about a = 1

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Q: 3.7 Prove that the real trigonometric series (an cos nx+b,sin nx) con- verges in L2(-T, 7) if, and…

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Q: Find the Maclaurin series for r2 + tan a and using that series, derive the Maclaurin series for 2x+…

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