28- For What values of a anel ら -2 fCx) = ー<くく %3D ax-b Continuons at every x ?

Q: 3- Show that the local truncation error at the pint (ih.jh) of the Crank-Nikolson approximation to…

A:

Q: 44. If it is given that Efx= - 100, E f = 400, E fx = - 1000, Efx = 5000 and %3D N= 10, find the…

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A: Given differential equation is y''+y'-2y=ex+sinxfind the general solution

Q: 1- Evaluate the following integral sin z dz. C constant of the boudaries of 4 z2-8iz the squares…

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Q: Show that Ě = 3xyê+G)+2Ê is R3 and Pind Conservative a potential Ø Rar F. on

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Q: Find dy for the following func tion s -니 y=(1+ cos zt)

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Q: Find the reductión Bormula Bor d x In (a+bshmx)"

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Q: Is it possible to find a number  n  such that is ∫0∞  xn dxconvergent?

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Q: Show Sn+3 diverges by osing 6n +5 the test for divegence 1こV

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Q: Q3: show that: S yi va -y dy =na² where a is a positive constatnt

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Q: Q6:-Prove that: y" = 1 if y=;csc (tan"

A:

Q: Which of the following is a left Riemann sum approximation of (x²) dx with n subintervals of equal…

A: Definition used-                  Left-hand Riemann sum -                   ∫abf(x)dx=…

Q: On which interval is the IVP (x sin x)y' + 2y = x +1, y(-5) = 2 guaranteed to have a unique…

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Q: Estimate the error if cos t² is approximated by 1 integral , cos r² dt. 4! in the 2

A: We have,

Q: 4 – dt 2 cos 4t 1.

A:

Q: Find the rank of A= = xS+ x + invertible. [exham S] O A MOITERUD 225 10-4 and explain why it indic 4…

A: NOTE: Refresh your page if you can't see any equations. .

Q: 4) For A = ajax + azāy + azaz , B = b,ax + b2ay + bzaz, show that A.B cos 0 = A.AVB.B

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Q: Find a general solution of each reducible second-order differ- ential equation y" = 2yy'

A: Recall the chain rule of calculus:

Q: 1. Show that sinz is unbounded on C and lyl <|sinz] <ebl z=x+yi € C. for

A: Given:         We have to show that sinz is unbounded in ℂ and y≤sinz≤ey   for z=x+yi ∈ℂ Function…

Q: az Find for z = x'y'eV

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Q: What is G = xy ax – x²y ay + 2y az at B(3, –4, 1), expressed in SCS?

A: Given: G→=xy ax-x2y ay+2y az -----------(1) Where, Bx,y,z=B3,-4,1 --------(2)

Q: Obtain the general soluti d²y 1. 7- y = 10sin²x

A: Given: d2ydx2-y=10 sin2(x)

Q: Evaluate the integral. 5n /2 2, 1 - cos t dt 3π/2

A: ∫3π25π21-cos2tdt=∫3π25π2sin2tdt=∫3π25π2sintdt=∫3π22π-sintdt+∫2π5π2sintdt=1+1=2

Q: solve the given nonhomogeneous ODE x^2y"-2xy'+2y=x^3sinx by varition of parametrs

A:

Q: Evaluate the integral. 1 cos 2t dt 2 7x/2

A: To evaluate the given integral.

Q: au Show that the local truncation error at the pint (ih,jh) of the Crank-Nikolson approximation to…

A:

Q: Obtain an upper bound for the error of the approximation cos(0.3 rad) = 1 - (0.3)² / 21+ (0.3)* / 41…

A: To find- Obtain an upper bound for the error of the approximation cos0.3 rad = 1 - 0.322! + 0.344!…

Q: Inand consicr HeLines (tn) venfy Al-5,-6) isapoint of (d) 2) prme Hat (4,)-b de] 3) Cans tract (d1)…

A: Since your question contains multipart, we solve only 1,2,3. If you need any particular question…

Q: Hw: Compute y(#/4) With 8-Y=8(siaxt cosx) in Find Ln Kngg kutta 2 4 order

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Q: it is unbaised estimated of a Then Show That ta is baised estimated of O2.

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Q: Consider the following BVP: - 2u 1 1sxs2 dx Using boundary condition u(1)-u(2)-0.

A: Sincei have attempted similar problems, let me solve the given problem step by step....

Q: (x) = 3x +12x+2, %3D ues of a, b and c such that

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Q: Which of the following is a nonlinear second order nonhomogenous PDE a. xux-Uxx=tuxt O b.…

A: To find - Which of the following is a nonlinear second order non-homogenous PDE x ux - uxx = t uxt…

Q: 6. Find the fized point of flx) [-,1] where', on fa = (동) x-(올)x3

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Q: 7) [[3embch5y] dvl [jel*5) dy] „In[sec h 5y]

A: Using rule of logarithm &amp; integration formula of sech(x)

Q: Find a general solution of each reducible second-order differ- ential equation y" = (y')2

A: Given, The differential equation y"=(y')2 .               ................(1)

Q: 1 And the radios of Co for the pover Serie for the Power Serie vergence 00 xh (2"+1) (n?+1)

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Q: 3 Find absolute extrema for fCx) = x°-9x´+15x -3 %3D in terval [o,3] Oへ

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Q: 1. Prove: a. csch x In +c %3D b. sech x = 2 Arctan(e*) + c %3D

A: 1. (a). To prove: ∫cschx=lnex-1ex+1+C Proof: We know that, sinhx=ex-e-x2 The left hand side can be…

Q: Find a general solution of each reducible second-order differ- ential equation y" + 4y = 0

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Q: 5) why is x3- 3x +I X +2 Conti nuous (0,00) on where is it discontinuous?

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Q: 10- Prove that a.b3D la+bl2- la-bl? /4

A: Prove that a.b= la+bl²- la-bl²/4

Q: 3. Gien that F cxy) = s Can servative find putantial -> functin fo Ě a

A:

Q: Q2-Prove that = va* – x² ify= ()sin () + () va² - x* = va² – x* if y = (;")sin*+ (4) + () Va² - x²

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Q: Show that lm Casy -1 CoSy-1

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Q: Qし If xと -l Sx S2 fa)= { 5-x fo) = 2< x S3 - Is fox) Condinuons at x =2 2 and sketch this funclion

A: Hello, Thank you for the question. According to our honor code can answer only one question at a…

Q: Let u = cos(4x) and du = e² da, then by using IBP, the integral [e²= cos(4x) e2x cos(4x) dx is equal…

A: Given, u=cos4x and dv=e2xdx. Formula for IBP: ∫udv=uv-∫vdu

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.