36:- find the chanactuiske egpation the gymmteicmatox Aに ー1 2 -1 2. A and hence otstain A ond Verify that it je sahafied by xpreas A- 6A+ 12'A+23A-9I in lincer and | Ameer prlynaminl in A .

Q: Grplain why Ž diverges, 27 41 even though has a finite liniit 2 t 2

A:

Q: pany 2 = 355 3.24 = 0.52 on about these two co

A: The null and alternative hypothesis is as follows: Given: As the population standard deviation is…

Q: 1. Using the first prine =) , show that (1 – x*) + 4nxy = 0. %3D 2. If y = 1+x2, + qx2+rx +s passes…

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: 3)- find ahe pr patikular solustien of theditfrential equatisnx+Cx =CL given the x6)=a Ax 20 at t=o…

A:

Q: Q4: 16 u. nin N, then 5 bounded fo belongs t and infinum

A: We define a subsequence  an = Sin(pi/2) + (-1)n = 1 + (-1)n . So, a2n = 2 and a2n - 1 = 0.

Q: Find the in tervals on which f hure (il In creasing and decrensing Con cave uP and con cave down and…

A: The given question can be solved as shown in step2

Q: fired supremum of As 3n +2 Inew y. 2nt/ Prove your arswer

A: This problem is based on finding the supremum.

Q: 1 Using Convolution theorem, find (i) L (s+a)(s+b),

A:

Q: 2) Prove that the foll owing func tion is not differen tiable at (0,0). 2. 2. f(x.y) = (X.y) = (0,0)…

A:

Q: Given the mife has betweeu so oud $ 50,000 of msurauce what ios s the ebatily probabii tū between 0…

A: The conditional probability formula is, PA|B=PA∩BPB The row totals and column totals are,   0 -…

Q: 5. Verify that the. functrun.u=1/ xy2? satis fies the threendimensianal.place cop.x+Uyy.+Uzz =o %3!…

A: Rrrrrrrl

Q: 4\ let ü = 31 – 2j – k, v = -i +j-k, w=41-2j + 3k And find u x (vx w) ?

A:

Q: Q1. Compute xdx x'+10 using trapezoidal and Simpson's 1/3 rules with the number of points 3 and 5.

A: The given integral is, I=∫01xdxx3+10 Dividing the interval (0,1)  into 2 intervals (for 3 points)…

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: 3) suppose fle) is a defferentiale funchou on the interval E-7,1J Such that H-7) =4 and fli)=1.…

A: Given, A function f(x) is a differential function on the interval -7,1 such that  f(-7)=4 andf(1)=-1…

Q: OVESTON Prove that A is inveitine if at0 and at b l Gind The pivos 9 A %3D a a

A:

Q: followinp serves Dedermine is he conditionelly , I converye your work ond justify your absdlutely…

A:

Q: show that Ф (x, y, z) = аф PDE : агф дуг + дуг I х2 +у2 +Z2 024 072 satisfies the

A:

Q: Solve the fellwing differntial equetion by uwsing Laslace-equat trans Brmation -3 dt +2y=4 wher…

A:

Q: Use d'Alembert's solution to prove f(-3) = f(3),g(-7) = g(3) for the semi-infinite string satisfying…

A: Now, it is given that ux(0, t) = 0   The D-Alembert’s formula is given as:

Q: o prove that knVA=| Test the seuence (ConViordív) of (10) an = (^_-) ) an 15 ら 9n: 3ntl 3n-1 (の+ (7)…

A:

Q: the lo04dinater Y the (entre the Lomic 412 -130 ax- + I16 a 60 ay Heduled il lo the and chente…

A: Given that: 41x2+24xy+9y2-130ax-60ay+116a2=0  ⋯1. We have to find the coordinates of the centre of…

Q: Exercise 1 Show that f(a) = x + [2]æ+ | 4] is irreducible in Z5 æ]. Answer using Eisenstein criter…

A:

Q: which of the foll ow ing functinn Setisfy Rolle's conditions Frx)=1x-51 on [ 4.7]

A: We have to check that function f(x) =|x-5| is satisfy the Rolle's theorem on [4,7]

Q: Let Xionne Xn be aris H c'cid) From PlO), or QcOi Findthe MP test g sige a to test Ho:G-Be N5 H,:…

A: Note: Hi there! Thank you for posting the question. As you have posted multiple questions, as per…

Q: A ABC is transformed to make A FGH. 29/36 F B H Which congruent corresponding parts would prove that…

A:

Q: 2 1 Find a mat rix P such that P- 2 0 0 3 0 3 [11 O AP = 1 0 -1 0] BP = 1 1 1 1 OCP = 0 1 1 -1 ODP =…

A:

Q: 9/2e1xandy be indefendent Yan dom Vaviabtes Such Ahat r and X-N(0,1) The Pirobability distribucionof…

A: Given that, X ~ N(0,1) & Y ~ chi-square(2)

Q: Solve the follawing yetem using augmented ito Matrisc M! C + + 32=1 *+34-2= 3 + Z=7 2x+

A: The given system of equations is x+y+3z=12x+3y-z=35x+7y+z=7 Solving the given system by converting…

Q: Q2: Show that whether (Z16,O.O) is field or not?

A: Properties of a field For all a,b, and c∈F, the following hold: a+(b+c)=(a+b)+cand a⋅(b⋅c)=(a⋅b)⋅c…

Q: V2 Find the ual. af the s-lid romes from rot sing the failion Shoun in Fig- about XAxis withini the…

A:

Q: Q/Use Definitien 13.4-1 +o prove that f(x,r}>x+y' is difterentialeat (o,0).

A: Given function is  fx,y=x2+y2

Q: 6) let fl2) = CosCitaiy) 22atey Express flz) that f satisfies in the form and fornd z So the Canchy-…

A:

Q: Q1. Compute xdx x' +10 using trapezoidal and Simpson's 1/3 rules with the number of points 3 and 5.

A: we have  I=∫01x dxx3+10dx  n=3h=b-an=1-03=13…

Q: Thene m for Voritly functiom Mean Valne fex) 2. 3X -4 +S the

A:

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: (3) Let A be m x n (not need to be square). What is the sum of the diagonal elements of ATA in terms…

A: (3) Given that Abe m×n matrix (not need to be square matrix). We have determine the sum of the…

Q: Let S-(xeZ vmod12-8) and T (xe2| 4x). Prove that SCT but TgS La s-(rez| 3reZz, x-12r+7) and T-(xeZ|…

A:

Q: (c) Evaluate d Gosh: where C: |z| = 2 by using Cauchy's residue theorem.

A: Given integral is ∮C dzcoshz;   C : z=2 As, we know  If z = x+ iy then z =x2+y2 As given that  z=2…

Q: SU SW. Complete the proof that ASTW ASXU. T. V W Statement ZW ZU SU N SW ZS ZS 4 ASTW ASXU 2.

A:

Q: 08. Assyme that The fuyctign 4defined g defined femetionof ginen, egua jon. se the odhnique implig…

A: solution is given below

Q: 3)suppose fle) isadifferentialle fmehon on the intervall E-7,J Such that Hl-7) =4 and fl)=1.…

A: Intermediate value theorem

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

A:

Q: 4: a) Let X.X., X -N (Hi,6f). Let Y,, Y2 Ym-N (u2,63). .... d (1-a) % CIfor oi when ai. a known.

A:

Q: S Integrate the falloing funclinne the given kesinms aver R: y=4x-x and y =X

A: Area