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# In Problems, a function $f(t)$ defined on an interval $0<t<L$ is given. Find the Fourier cosine and sine series of $f$ and sketch the graphs of the two extens...

## Question

###### In Problems, a function $f(t)$ defined on an interval $0<t<L$ is given. Find the Fourier cosine and sine series of $f$ and sketch the graphs of the two extensions of $f$ to which these two series converge.$$f(t)=sin t, 0<t<pi$$

In Problems, a function $f(t)$ defined on an interval $0<t<L$ is given. Find the Fourier cosine and sine series of $f$ and sketch the graphs of the two extensions of $f$ to which these two series converge. $$f(t)=sin t, 0<t<pi$$ #### Similar Solved Questions

##### OuFSTION 12random sample of 8 Wus dra Nn andtne sample variance Was Calculated De 2.57 W [Mc Sdmne duta Was used bucwas trealt populaticn Ould al c pcpulation Vinance Round Vouir answcr d Ecima Diace257QushOmThe heights (int irxhes} ot 25 indiv dua Cece[encAnne 'folloiving starstics wvere calculated Meim rinpemcxleYAMMIEMed JrThc coellicien}nvaanm+ Jse4uue'C RNM
ouFSTION 12 random sample of 8 Wus dra Nn andtne sample variance Was Calculated De 2.57 W [Mc Sdmne duta Was used bucwas trealt populaticn Ould al c pcpulation Vinance Round Vouir answcr d Ecima Diace 257 QushOm The heights (int irxhes} ot 25 indiv dua Cece[encAnne 'folloiving starstics wvere c...
##### In each part of this problem; the function f is defined by the formulaf(c) = VizlPay close attention to the domain of the function in each part and consider the statementlim; f(r) = v2 _Does statement make sense for the given domain? If not, why not? If statement prove or disprove it directly from the â‚¬-6 definition of a limit.does make sense, then either(a) f : Rv R(b) f:Q-R(c) f:z-R
In each part of this problem; the function f is defined by the formula f(c) = Vizl Pay close attention to the domain of the function in each part and consider the statement lim; f(r) = v2 _ Does statement make sense for the given domain? If not, why not? If statement prove or disprove it directly fr...
##### In a seanaiarcitye the monthly water bill amount is normally distributed with and standard deviation 15.A sample of 36 bills was mean 25 that the average water bill amount for the selected. What is the probability sample was between 29.3 and 30? Write only a number as your answer: Round to 4 decimal 0.0048). Do not write as places (for example percentage Your Answer:Answer
In a seanaiarcitye the monthly water bill amount is normally distributed with and standard deviation 15.A sample of 36 bills was mean 25 that the average water bill amount for the selected. What is the probability sample was between 29.3 and 30? Write only a number as your answer: Round to 4 decimal...
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##### Point) Evaluate the limits.Sx2 _ 4 X<-1 f(x) Sx +4 -1sx<1 Sx2 +4 X> 1 Enter DNE if the limit does hot exist:lim f(x) = X--[b) lim f(x) = I-Jim f(x) 1-d)f(-1) =Jim f6x) = lim f(x)Jinf(x)h)f(1) =
point) Evaluate the limits. Sx2 _ 4 X<-1 f(x) Sx +4 -1sx<1 Sx2 +4 X> 1 Enter DNE if the limit does hot exist: lim f(x) = X--[ b) lim f(x) = I- Jim f(x) 1- d)f(-1) = Jim f6x) = lim f(x) Jinf(x) h)f(1) =...
##### AicnDonalma~p ontsRogaezk:C70 84100. ano t2 YoluM 0tht wld cotalned rotzonoSunborealon 8 In the nqure 0eo7 JboutLkIRdatorVecioigGivekAeamenmnat1/1 points Previous AnswersRegCakE746.1017.My Holesad tha toumaeols obeingerocuno tha reaijoGoure belon Jbout th Iine24
aicn Donalma ~p onts Rogaezk:C70 84100. ano t2 YoluM 0tht wld cotalned rotzono Sunbo realon 8 In the nqure 0eo7 Jbout LkI Rdator Vecioig Givek Aeamenmnat 1/1 points Previous Answers RegCakE746.1017. My Holes ad tha touma eols obeinge rocuno tha reaijo Goure belon Jbout th Iine 24...
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An insurance company insurcs low . mexlium; #t high risk driters driter is moreled by any giten Year, Poisson distribution the number o accidents b drivers are 0.25. The mcan number of acridcuts per ycar for kow , mexliumt; aud nexpectirely: and high-ril What is the probability that risk driter has ...
##### (3-points) whcel in An amusement patk can brake such that the passenger compartments Iove [0 m during the hraking: The operating speed of [0O-I-diameter 1600-tonne wheel i5 3.0 Tevth: (One tonne equals 1000 kg Estimate tle tonque that required t0 stop the wheel so the Tm (ravels |0 m during- the braking: Assuming that the braking force Is applied at the rim; what is the magnitude of the breaking fotce?
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##### Find the speed of light In the following: (a) fluorite m/s(b) icemfs(c) polystyrene ms
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##### The voltage, $V$, in an electric circuit is given as a function of time, $t,$ by $$V=V_{0} \cos (\omega t+\phi).$$ Each of the positive constants, $V_{0}, \omega, \phi$ is increased (while the other two are held constant). What is the effect of each increase on the following quantities: (a) The maximum value of $V ?$ (b) The maximum value of $d V / d t ?$ (c) The average value of $V^{2}$ over one period of $V ?$
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##### Let X be discrete random variable with the following pmi:2x + 2 X = 1,2,3,6 P(X =x) = elsewhereWhat does the value of C need to be to make this valid pmf?b.) What is the P(X < 3]?c) What is the expected value of X?d.) What is the variance of X?What is the expected value of
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##### So let's think about A function defined in sections if x is lessthan 0, h of 2 is equal to {e ^ (-1/z) if z>, 0 where A is anyreal number. (a) This function is continuous for any value of A,explain in detail why this is so. (b) Select at least threedifferent values for A and use Desmos (or another drawing tool) tocheck the behavior of H near x = 0. Describes how the two parts ofthe function are connected. Is it possible for A to make thisfunction differentiable at x equals 0? If so, what
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##### Using the parametrization of the ellipse , 7(t) sin(t)i +i b . cos(t)j wllere and are positive constants with >b Expres the arc lengch of a quarter of the cllipse using the integral forinula (use 0 < + < w/2). Trigonometric identities and algebra can be used t0 see that the arc length obtained in part equal tolK2 sin? (t) dt ,where k2 Use trigonometric substitution t showdu = 01 sin? (() dtFor refresher on trigonometric substitution _ check Section &. (p 480 483). This assignment sh
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