Solve the differenlial =* +y+Xy equa lion with initial condilion yco) = -I , andOSK<2 with step long th o.4oby using Tayloi nethod

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: Find the Ye neral solution of the eguation. 6y"_5y_4 y =o %3D

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Q: 5. Evaluate ry dV where R is the tetrahedron with vertices (0,0,0), (1,0,0), (0,2,0), (0,0, 3)

A: Volume Integral need to be solve

Q: 6. Show that the sets S = (1,5) and T = (0, 00) are equinumerous by finding a bijection from S to T.…

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Q: 4. Compute rzdV where E is the solid tetrahedron with vertices (0,0,0), (1,0, 1), (0, 1, 1) and…

A: We have given the function; The region E is a tetrahedron with vertices (0,0,0), (1,0,1),(0,1,1)…

Q: Femet Freome Derive the cond Torslon at hypacyeliodi. curvature bimomial imdiati: of the

A: We need to Derive the fernet frame, curvature and torsion o the binormal indicatrix of hypocycloid.

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: 5.Use thelefinition to Rrave that Jw wh- 2

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Q: 0O REDMI NOTE 8 PRO dO AI QUAD CAMERA 0.22193 40 0-7) O) uring yodified feyere apephsod frond y…

A: Given,             dydx=x2+y2;   y(0)=1 To find y(0.1) and y(0.2).

Q: 2. Use Cauchy- show that each of these funedioca is. nowhere analati -Rlemman.cqmtione to bfi27=2xyi

A: Nowhere Analytic functions

Q: Find –3xyd A over the D triangular region D with vertices (0, 0) (2, 0), (0, 4)

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

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Q: b)Show that, 6(z, 3zy – y' and (z,y) = -+3ry are harmonie

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Q: Find the and the sroallart Valurs of the functron fx)%=Ie+t on The intosval 0< ILI %3D

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Q: Evaluate the triple integral ∭ExydV where E is the solid tetrahedon with vertices…

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Q: the dihedrad gronup Consider Du Eaub: a4-6=cab =1} the of Du and Verify drived Discuss Possible…

A: We will (1) first find the conjugacy class for the given group and then (2) we give the solution to…

Q: Find to the the equation du green funclion corresponding pula)=fex) conditions U(o) =0 with and…

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Q: Solve the loieal Vahue Pr blem by the characteristic Hethod Using For a) flx)> 1 and A fx)- K.

A: Solve intial value problem Solving by characteristics equation

Q: Consider a dihedral groop Dy=<agb: asb= (abj=1 Ds cuss all Dy and verify Subgooups of "Dy=…

A: See answer below.

Q: Find 36 zdV, where E is the solid tetrahedron with vertices (0,0,0), (3,0,0), (0,6,0), and (0,0,2) E

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Q: If |z|=1,show that (z^-1) =(z congegate)

A: Given z=1 We have to show that z−1=z¯ Since, z=1 ⇒z2=1 We know that z2=zz¯

Q: 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

A: Given yk+1=Ayk+B, k=0,1,2,... Then the objective is to find the solution at which the sequence is…

Q: In R', the point (1, 1, 1) does not belong to the cylinder x + y = 2. Select one: True O False

A: Given problem:- In R³, the point (1, 1, 1) does not belong to the cylinder x² + y² = 2.  True  False

Q: *Write ascript Ble for tayler polynamial of order 5 foU= LnX near Por where the out put is ycl-15).…

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Q: Find JJ-6rydA over the triangular region D with vertices (0,0) (2,0), (0, 4) O 68 O 16 O - 16 8 O -8…

A: Solution is given below:

Q: a sondom Semple XSI .Detemie a clistrbutian with Size n Conider (df F(m) =1 -x² Sei juences has…

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Q: 10) Use Green's Theorem to eualuate S+10ny +y?)dx + l6xy+ 5a²) dy Toxy+ sa?) dy where C is the…

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Q: If a (b,v,r,k,lambda) design is symmetric with lambda=1, then there exists an integer n such that…

A: Using projection property in BIBD.  We know that, Symmetric 2-designs with λ = 1 and order n &gt; 1.…

Q: Find the solution of the differenhal equahon not Sothsfes the given inital condiion dP at

A: Given.The differential equation is

Q: Evaluate the double integral || 8xydA, where Dis the triangular region with vertices (0,0), (1,2),…

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Q: Show that the following system undergo a saddle-node bifurcation. Find the vale H= Ho where such a…

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Q: we need to find for and poove foinmmulas and This question is based on Secosd and umbers. of…

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Q: 40. In isosceles AMNP, MN = MP. With point Q on MN, MO = QP = PN. Find mZM and mZN. Q 384.

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Q: Solve the Laploce equatrons for the ondi tions flx) funciong given boundery and b elow Con dibion…

A: Note: As per bartleby instruction when more then one question is given only one has to be answered.…

Q: Reduce to Canonical form UTr +5 Ury +6 Uyy %3D

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Q: J uore program Use a soft groping of ality aith motrix copobilities to'find the eligenualves the…

A: For any matrix, A , the eigen values are calculated by solving the equation, det(A-λI)=0 . Here , I…

Q: 9 Find the lies which degion bounded and area in in first eyuadrant 12-axis by Jine V= n=770 Give…

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Q: onsider two points (x0, y0) and (x1, y1). Prove that the first order Lan￾grange polynonial is…

A: There are two points (x0 , y0) and (x1 , y1) ,now prove that the linear Lagrange interpolating…

Q: Find ff 3xydA over the triangular region D with vertices (0,0) (2,0), (0, 4)

A: We will solve the problem

Q: Show that the equadion Can also be obtaind from the fellowing squation 4(一 20 where and

A: The function is a rule that associates or fixes a number to the particular point x. If , then the…

Q: = 3 find the equotion of the toggent plone at paint (-2,1,-3) of th ellipsoie

A: We will do partial differential of function with respect to x,y,z.

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: Find the unique fixed prbability vecter for the regular stochostic matrx A= ) 2 5 2 0 3 3

A: The following information has been given: The regular stochastic matrix is : A=311252033 We need to…

Q: 5. If 4=2xy į +3x°y -3pyzk is solenoidal at(1,1.1). Find p.

A: DivA=0

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: Find ff -6xydA over the D triangular region D with vertices (0,0) (2, 0), (0, 4)

A: problem is related to double integration

Q: Find ¹JJ²₁ z dV, where E is the solid tetrahedron with vertices (0,0,0), (3,0,0), (0,2,0), and…

A: The solid E is the tetrahedron with vertices 0, 0, 0, 3, 0,0, 0, 2,0 and 0, 0, 1. Draw the solid E:…