And Inver se laplace transfor? 3 2. S(s*+w) 3 S+1

Q: Find the length of the curve y = -9+4x3/2 over the interval 0 <x <1. OAZ= (1/54) 37 /37+1 CO B I =…

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Q: 2m ave WORY 800N A Im WMAN = TOON 2.15 A large wood beam weighing 800 N is supported by two posts as…

A: Here a large wood beam weighing  800N is supported by two posts. If an unthinking man weighing 700N…

Q: (b) Find a , b and c if the curvey = x + a x + b and y =c x + x have tangent lines paralle to each…

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Q: If --kr, show that d? dr %3D dt

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Q: Find the value of ds / du at u = 2 if s = t2 + 5t andt = (u2 + 2u)1/3.

A: We first find ds/dt and dt/du

Q: Find u at t1, t2, t3 and associated errors via RK4 (time step length h=.01)

A: Given, u˙+λu=10cost/10=ft,u...1u0=100=ut=0 Where the exact solution is,…

Q: 2 write Dirac Delta beinction and it's laplace trans forms.

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Q: 0. gy c ube a losed Cont Conlainig he okigin it. Pycoue thal az 2.

A: I have used Cauchy integral formula

Q: Find the length of the curve y = V4t2 – 1 dt, 1<x<2 O 3 O 8 O 104 3. O 15

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Q: . Find the length of the curve defined by R(t) = (3t+1, 4t3/2, 4-3+2) from the point (1,0, 4) to…

A: Note : The length L of a curve r(t)→=(x(t) , y(t)  ,z(t) )  from t=a  , t=b is given by…

Q: 2 32 |for 1st<3. length of the curve c(t) =| In t,-t"

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Q: Delermine seich all mateuraal neumbers e, y 4 that ayz t scy t Iz tyz tety +złl=2020

A: You must have an idea how to do factor of any equation. The

Q: Find the equahion a Hhe tangent Lie FlX) =482- 5X +7 when R=1

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Q: ue of the det e 16 is

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Q: Find the exact length of the curve. y= In{1 – x²), o s 1. 0 sxs! 7. I Ju =

A: We will find the exact length of the curve as shown below

Q: t-4 - Given s(t) find s'(t)- t+3

A: st=t2-4t+3 take derivative s'(t)=ddtt2-4t+3 use the quotient rule fg'=f '·g-g'·fg2

Q: (0) X. 人セこトン (242) 27 vay 4th 15 where Cis the path from P(0,0 to evaluate つlxe し use Green's…

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Q: s Compute yz dz + zzdy + zydz along the curve (t, t2, t³), 0 st<1

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Q: Use Euler method to approximate the value of y(0.2), given ay' - by = ce^(kx) + mx , y(0) = 8 with…

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Q: we Gtokes theos em. to pvaluate Fel8 whes F=Z?E t y?; +XK and cf1,0,0) (0,1,0) andlogo, i) nr…

A: By using the stokes theorem we have to evaluate ∫CF·dr where F=z2i+y2j+xk and C:1,0,0,0,1,0, and…

Q: Use Euler method to approximate the value of y(0.1), given ay' - by = ksin(cx) + mx , y(0) = 12 with…

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Q: D.4) show that is boundled) abng the if I sinz line&CXoy):dX-By =of Straight then

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Q: Find the Laplace of f(t) = (e-3t - e5t )2

A: To Find L(e-3t-e5t)2: Expand (e-3t - e5t )2: (e-3t-e5t)2=e-3t2-2(e-3t·e5t)+e5t2…

Q: Find an equatlon Of the ine Through G1,2); Perpendicular to me 2x+ 5yt 8=0 line

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Q: Find orthogoral trajectory to the family of dircles 3 x² + y? = 2Cy.

A: We have given equation of curve x2+y2=2Cy Then, differentiate both sides we get…

Q: +3 fn d the deivotive of this funckio slape of the tonpent On d the line ot (4,1).

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Q: Find the length of the curve given by S(x) = (a -) defined on the interval (1, 2].

A: Consider the given curve:

Q: Soye the following in itial Yalue problem by using laplace trans form,- dy 8dy 9y =0 ; y(0) =0 and…

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Q: Let TEL (U), de F, Slow that T(T-dI)h = (J-d2) %3D

A: We have to prove given equality.

Q: If S e-t)rLnt dt, Find the valae of (n)

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Q: Compute the length of the curve r(t) = 8t i+ 8t j + (t² + 7) k over the interval 0 <t < 3. HINT: use…

A: We will find out the required length.

Q: NEED ASAPP PLS!! laplace{(t^4-5)^3}

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Q: Verify . that the. functrun. u= 1+y. t.2? sais fies the thredimensianal.aplace eg. Ux. +Uyy +Uzz=o

A: Given u=1x2+y2+z2

Q: FIND dy AMD dy AMD Gint OF

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Q: Laplace for following L(3cosht t) V3 12 4s2 - 1 O 3 A otherwise s - 1 12s s2 3(s? - 1)

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Q: Dsig Laplace transfoem, るe the d撃.e ざくE)+4y +3yCt) =et, yiven that yo)=1, の=. y o)=1, し. Ans yCt) =…

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Q: Thelem:-TP PTR har ociva bveof %eI,theu f is Coutivlalse- at Xo CTs thecouvese of thevem triue?why?

A: Questions from continuity and differentiability

Q: Q2 :- IS fixg)= e then O PYoue that fcag) Continuons d (o,0) that fay =S,x O shaw wether if feay)…

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Q: An automobile, traveling at a constant rate, starts at home at ime t = 0 and ends up 10 hours later…

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Q: dy dx If y=e+19 then O 19e+19 O 4er+19 O 57er+19 O 3er+19 2er+19

A: Please see the answer in Step 2

Q: Je find The general Solutivn od DiE+

A: The detailed solution is as follows below:

Q: If s = 3/t + 1, then ds Preview %3D dt

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Q: Answer the following True or False: Two cars drive from one spotlight to the next, leaving at the…

A: We can state the answer true or false with reason as below.

Q: Find the family of oblique trajectories that intersect the family of the paraboles y =cx at angle e…

A: The answer is given below:

Q: Find dy of the Jollowig dn funchion yot ఆంధ 3(TT)C)

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Q: l? sc tue suell metuozd to fired tue voune of te Solid genented the by rerolning the plene rgim…

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Q: 3) solve: y'-Hef't 44=HC032t; y0)=2, qla)== using Laplace treensform |

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Q: find the general solution of the dipperential ation given below. y+ 2xy -xe-r?

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Confidence Intervals

When we calculate intervals in probability and statistics, it can be simply termed as finding out a confidence interval. The confidence interval is usually calculated from the data set which is observed. The value of the parameter that needs to be calculated is present here only.