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

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: Sketch a model that satisfies atleast 2 axioms of Fano's Geometry and Identify those axioms.

A: In this type of question, first we need to know, about Axioms of  Fano's Geometry, after this, we…

Q: by computing that the given funetions inde pendent on Show the are linearly indieated intorvale…

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Q: get an 6Usc Thesrmn to show that -x gra) = 2 has a unique haed %3D point on

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

Q: Evaluate the line integral [6. 6ayⓇ ds, where C is the right half of the circle x² + y² = 4.

A: To evaluate :   ∫C6xy6ds, where C is the right half of the circle x2+y2=4 Prerequisite : We can…

Q: Suppose the interval [2, 6] is partitioned into n = 4 subintervalswith grid points x0 = 2, x1 = 3,…

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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: Find the wolonm of inforachom

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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: find the funotion with hejp of a indegral meau value betw een 4,1] of g(x)=\xl-2

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Q: The value of the triple integral 6zdV where E is the upper half E of the sphere of x² + y? + z? = 1…

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

A: Nowhere Analytic functions

Q: Convert the cylineleical.coordihate to an quation eguation in rectangulde form

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Q: Find the Theishts ave defined by ECX,y) and bases are the regions bounded by the fallawng fontion in…

A: Given: Height of solid is defined by zx,y=16-x2-y2, R:    y=2x    and     y=4x-2 To find: Volume…

Q: We define the included point topology by Tp={UcR;U=Ø or peu), Let A = [3,5[ then A is dense in R if*…

A: a set A is dense in X means A closure =X

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

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Q: Find the Velumme of the Sotids abtaind Yegion in the first quadrand bound by Hhe Cerves Y=2- x² by…

A: We will draw a region first then using Integration, we will find volume of solid

Q: The equation +y= 9 in 3-space is cylinder Select one TrueO FalseO

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Q: 1 Show that IS the separable me tre space (R, d), where el(x, y) = be-y/

A: Here we use basic real analysis

Q: the find the voune ofE Hhe Solid gererated by revoluing regron bounded by about the yaris, OSe…

A: We first sketch the region using a graphing calculator. The shaded region will rotate about the…

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

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Q: find the length of the SPIYAIV-e'sVom 0=0 to 0=V5

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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: With the help of exomples Show thaat on finite dimensional are equivalent. any two norms Linear…

A: Given: Any two norms on finite dimensional linear space are equivalent.

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: we diveagena theosem to eveluate ty3j + XzK. dA ahose sethe boundary Of cube defined by

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Q: show that the. fallowing Complex functron is dis continuous at z=? 121 1 fCZ) = スー! %3D 3. %3D

A: Topic:- limit and continuity

Q: Show that every closed ball in R" is an n-dimensional manifold with Assuming the theorem on the…

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Q: For the qutegradsSEddy tringle Over the bounded by -0,4=0 and *+y=l-

A: We have to find the integral  ∬e2x+3y dx dy   over the region R bounded by curves: x=0, y=0, x+y=1

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

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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: Find the dimensions a and b of the rectangle of the maximal possible area inscribed in a semicircle…

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Q: with the p-norm 「さい Is a normed lineur s pace over fiéle cary R with respect to opera tróns addition…

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Q: Is the collection of all polnts In the plane that lie a fixed distance from a fixed polnt, known as…

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Q: Shew that if f is Lip. then P is Cont. on X. Nale- In fact f is uni formly Conhnaue

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Q: Show that the eight points of indersection t the cunve ny cn?-y2)+n²+y2-a?, and its amptotes Lie on…

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Q: Suppose we use a 6-th degree polynom, PeW to estimete gox) = 2e* with data points (Xi,9(X;)) where…

A: As per Bartleby's answering policy, we can answer only one question. So kindly post the remaining…

Q: Let D be the solid region in space bounded below by p = -- and above by cosp p = . Then the region D…

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Q: Use the Cauchy integral formulas to evaluate the eiz cos z dz, 2²(2z – 37) where C is the region…

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Q: Prove the following: 7. Given: PS bisects ZRST, 2SP = 3SQ, 2ST = 3SR T. Prove: ASTP~ASRQ

A: topic - similar triangles

Q: Since, F is bounded both in LOR) and in lIR), it is Latnded in LLIR) forall fe[1,0) (Prdtem 31).

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Q: (4) In the figure, Y is compact, BEX*Y. Show that T,(B)s TB) clesed X (T, is the nýuchikn funebran)…

A: Given that Y is compact and B⊂closedX×Y. The objective is to show that, π1B⊂closedX Let's define,…

Q: 8. Use Green's Theorem to evaluate px*dx+xydy where C is the triangle with vertices (0,0), (1,0),…

A: As we know from the Green's theorem: ∫CMdx+Ndy=∫∫R∂N∂x-∂M∂ydA And The expression for the equation of…

Q: Suppose n is any integer. Compute / (2 – z0)"dz over the counterclockwise circle with radius r…

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Q: Let flx)= a cose + 3 Sinse with (o,f to)), (,2) and (T, 2 ). Use Muller's method to find a quachatic…

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Q: If ffinite or in finite) Contable set, thers prave that At CS}=0

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Q: 3. Classify all geometries of order 6 up to isomorphism. Indicate how many points and lines cach…

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Q: he region bounded by the cylinder x2 + y2 = 9 and the planes z=0 and x +z =9 O 243 O 81T 27TT 729TT

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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.