Show that every positive sol fron of Ay + B, k=osl,2- & bosunded, %3D JK is i-e, ogy sB-if A<1. 1-A

Q: Verify that cos kx is a rolulion Also, stafe what kind of DE is the DE above :

A: This question is about solving differential equations.

Q: A natural cubic spline S on (0,2] is defined by Jsin - 1+2-r. S) = if Osr<l. |S,0) = 2+ b - 1) + cư…

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Q: KLM is a kite. If mZJKN = 28° and mZKLM = 103°, find mZ JML. * %3D %3D K J M

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Q: Show that every positve colufion at Ay + B, k=osl,2 bounded, %3D JK is i-e, osysB-if A<1. 1-A

A: Question: Objective is to find the upper bound of     yk+1=Ayk+B, k=0,1,2,... where yk is positive.

Q: OShow that in 27 and use Soot method has bisection approximation to the Soot * at leest within a the…

A: The given equation is. fx=x3+4x2-10=0 fx=x3+4x2-10 To find the root in the interval 1,2 that is…

Q: Let w z. In(zy z"), then which of the following is ZZL O a. 0 Ob.

A: Given a function w in three variables x, y and z as  and we have to find the partial derivative of…

Q: Show that cl S = SU(Bd S) %3D

A: LetS⊆R, claim: closure(S)=S∪Bd S =S ∪ S' by definition bd(S) ={ x∈ℝ/x∉S° &amp; x∉(ℝ-S)°} let  x∈S∪S'…

Q: E valugte the cube raot of z when 2=27 Cis(210) ( Let 0s GS360°) Smallost ☺ ualus) targonst ualue).

A: Since you have submitted two questions, we'll answer the first question. For the second question…

Q: Compute the orthaganal piojectian of ? onto the lina L through -6 and the origin

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Q: (a) Show that if the (n + 1)-st book is placed with its right edge at cn then its center of mass is…

A: Solution for Part (a):

Q: Prove that Ks.s has (s-1)!s! s S13! . Hamiltonian walks for s > 1. 2

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Q: ECR 9s a sordon Area cvol CE) =V0ICE) ean Yntegraole on E Sand 主 After thet desariptron. 1ntegroble…

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Q: Find the dimensions of the minimum-cost open-top rectangular tainer. (Let v* = 10 m³.) con-

A: Given. We need to find the dimension of a topless cuboidal container. Whose volume is 10m³ And…

Q: Find ff -6xydA over tl D triangular region D with vertices (0,0) (2,0), (0, 4) 16 O -8 8 O -16 68 O

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Q: The 5th Shell of an atom has a maximum capacity to contain 50 electrons. Select one: O True O False

A: To find the number of maximum electrons in 5th shell

Q: Let Z, = 2 cis 30° Z2 = 3elli %3D Z = In (1 + i) If Z = Z,Z, +Z3 Find IZ.

A: First we convert all expression into a+ib form then make necessary calculation.

Q: Exercise 4 Show that for cach k EN it holds that kn-k < n! S n", Vn E N, n2 k. Deduce from this that…

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Q: Solve the following Cauchy-Euler D.E: x²y" – xy' +y = 2x2 + In x %3D

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Q: Ở. verify that y10) is a constont soluion b. Find all Solurions to DE C. Find two dirrerent…

A: According to the problem, we have

Q: Suppose thet the filowing Aransforuution Conneclss the (x') and (ti) codmate ک ماول se4ス?) e え(スーx)…

A: Handwriting solution given.

Q: Let C be the shortest path that connects z to ri and /= J, (sinhz + 1)dz. Then O 1 cosh r+ n(1+) O…

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Q: 0/ the Valke of & that makes the Velteof the fumetion 2.

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Q: .Use the De Moivre's Formula to show that if z = (cose + isine), then z" + ; ÷= 2cos (n8) and (금) 3…

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Q: Solve the differenlial =* +y+Xy equa lion with initial condilion yco) = -I , andOSK<2 with step long…

A: Given y′=dydx=x2+y+xy, y(0)=-1,h=0.4Here, x0=0, y0=-1, h=0.4 , xn=2

Q: The Wronskian of y,(t)=e 2, y,()=e" is-e St. Select one: True False

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Q: dy If then de impossible to calculate O In(æ)

A: 7.  slope of tangent line  slope at point ( 4 ,2 )

Q: Calculate the circulation of A = p cos ap + z sin o az around the edge L of the wedge defined by 0 ≤…

A: Yes , we can solve using stokes theorem. Note that all the cases z = 0

Q: Let Sn=Vn. Find an and show that an O but that Sn=ER=1@k diverges. ->

A: Solution:-

Q: in(Zg++s)indeyclic grauf2enerated by I, Z,3

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Q: c If in is an involution of X, show that (r, y)in = (yi", rin) is an involution of X12). %3D

A: Given X is a lattice. Given in  is an involution of X To show: x,yin=yin,xin is an involution of X2…

Q: In AABC andAXYZ, AB = AC = XY, BC =Y Z and mZZ = 90. Prove: mZX > mZA %3D

A: We have given two triangles , ∆ABC,∆XYZ and AB=AC=XY and ∠Z=90∘ . and BC=YZ We have to prove that…

Q: Show that Z, dv=2010 %3D if B= 2) : -1 Śn s3, ISySY,e

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Q: c If in is an involution of X, show that (x, y)in = (yin, xin) is an involution of X2). %3D

A: Let X be a lattice We have to show that (x, y)in=(yin, xin) is an X[2] X[2] is a 2 x 2 matrix We…

Q: 16. Given: OABCD; W. X, Y, Z are mid- points of AO. BO. CO. and DO. Prove: WXYZ is a D. C. Y Z.

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Q: 3) Show that the following graphs Hamiltonian are hot a a) d d 137 c) d) ol

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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: 7 the n ya In Cx? _y?) Do not Equatio InCx-yリ Do not check modificd Laplace

A: This is a problem of partial and Laplace.

Q: Given: JKLM is a kite with JK 2 JM and KL = ML. K Prove: ZK M %3

A: in △JKL and △JMLJK ≅JM         (given)KL ≅ML         (given)JL ≅JL           (common)   △JKL ≅…

Q: Determine Z- Trans furm in cludig vegiva of con vergence in n 7o メ(At n<o

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Q: Let A:e? e be gioen ACX,の2-10 2=10, prove thet A Find the spectrom of A. is compact Jun

A: Given linear operator A:l2→l2 is defined by: Ax1,x2,…,xn,…=0,x12,x222,…,xn2n,…. (a). We Know that…

Q: Find the of the GS that satisfies the given Cond hb Sum a n=4 b. h=6

A: Sum of Geometric series.

Q: Consider the following PDE Uxx + 2x uxy + Uy = 0 a) What is the class of the equation? b) Reduce the…

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Q: 1. Obtain the weak formulation for the following BVP: in Ω, -V (kVu) = f u =g on ô0.

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Q: => For The Wbech Ualuo of E doas the Martrix イK %3D have one roal eaomalue of Mutiplicty?? k =

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Q: Verify that cos kx a solulion of Also, stafe what kind of DE is the DE above

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Q: Question 2: Show that the set S = {rVT + V2:rE Q) is dense in IR. Explain and show your work.

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Q: Show that Z/mnZ is isomphoric to (Z/mZ)×(Z/nZ) where gcd(m,n) = 1

A: Concept Used:( The First Isomorphism Theorem) If ϕ be the  ring homomorphism from G to G then…

Q: Show that lm Casy -1 CoSy-1

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Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.