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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: 13. In finding a smooth piecewise parametrization of path C, A. the direction of the sub-paths must…

A: Note: We’ll answer the first question since the exact one wasn’t specified. Please submit a new…

Q: Find the Leplace bransform. of Hhe fure tion ESinut octca to biven that

A: Laplace transform of periodic function: The Laplace transform of a periodic function f(t) of period…

Q: 3.2 Find all limit points of a set B = {1,,, i,...} on the real line with the usual metric. Is B…

A: The objective is to find all the limit points of the Set B and to check whether B is open or closed.…

Q: Consider the reglon bounded by the graphs of y- and y- VE

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Q: Discuss the Singulazities and Poles of fiz) = zéSinz (z-2) (zこいこょうと+ら)(2t (こか) +4

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Q: Sketch the grafph Following Funcfions Tor the :も L) 2=4- y bx+2y t3でンと *)モ x3+ +y2

A: Here we have to sketch the graph for the following function. i) 6x2+2y2+3z2=6j) z=x2+y2k) z=x3+y2L)…

Q: by L'Hopital's rule 3sin e _1 lim

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Q: 4. Find the lungth of le chord amd'its distane from the ankr. A 2.

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Q: A natural cubic spline is defined by Sa,(x-1)' +b,(x-1)² +c, (x - 1) + d, S(x) =- if 0sxs1 (x- 1)' +…

A: Step:-1 Since, we know for cubic spline S(x)=S0x=a0x3+b0x2+c0x3+d0…

Q: 2. Determine whether the following multigraphs are Eulerian, semi-Eulerian or neither. Explain your…

A: Explanation we have to shown whether the given multigraphs are Eulerian , semi-Eulerian or neither…

Q: 4) Use Green's Theorem to evaluate f √1+x³dx + 2xydy. C is the triangle with vertices (0,0), (1,0),…

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Q: 13) Use the Intermediate Value Theorem to show that the polynomi: zero in the given interval. g(x) =…

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Q: In AHIJ, HJ is extended through point J to point K, mZJHI = (x + 12)°, mZHIJ = (x - 3)°, and mZIJK =…

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Q: 15. Let fx)- Find tuntions +3 %3D Flalx) = get (x) =

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Q: Compute the value of ( G. dL for G = 2ya, with A(1, -1, 2) and a) straight-line segments A(1,-1, 2)…

A: Given the line integral ∫APG·dL for G=2y,0,0 with the initial point A1,-1,2 and P2,1,2 using the…

Q: Consider the functi on f(z) = 2 -a with lal >1 %3D 1- az Show that if 121 >1, the lf(Z)< 1

A: Given the function f(z)=z-a1-a¯z with |a|&gt;1.To prove that if |z|&gt;1, then |f(z)|&lt;1

Q: Suppose A-( ) and One of it's eigvalues find ayae s js bhen alaef

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

Q: find rank(AT) and nullity(A)

A: Rank of A = rank of A^T use this relation

Q: find the lap Las Traus fur of 2ス K

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Q: Find oxthogonal uncdary diagonalizing an or matri'y to lMowing tor One 2 (a) (b) 3 -2 -2

A: A square matrix A is called as orthogonal matrix if AxAT=ATxA=I where AT transpose of matrix A. and…

Q: The distance from the point K(3, -2, 0) to the az- plane is Select one: O-2 O √13 O 0 02 O None of…

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Q: limit as h---0 for the funtion ((e^2h)-1)/h using L'Hopitals

A: We need to evaluate the given limit using L'hopitals rule. As per L'hopitals rule, if we get 0/0 or…

Q: (a) through the midpoint rectangular rule and (b) through the trapezoid rule. Discuss your results…

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Q: 4. Show that if A is closed in Y and Y is closed in X, then A is closed in X. Verify it and make…

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Q: 7. Given RS and TV bisect each other at point x. TR and SV are drawn Prove: TR = SV

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Q: =: |2| = 1 on closed curve -dz < 2ne, show that inequality exists.

A: Let fz=ez+4z2 Then f has singularity at z=0 of multiplicity 2 Resf;0=limz→0ddzz2×ez+4z2…

Q: Point K is on line segment \overline{JL} JL . Given JL=x+10,JL=x+10, KL=4x,KL=4x, and…

A: here point K is on line sagement JL so it divide in two part one is JK and KL here we have to find…

Q: Let Polynamial. has infinitely mny Toats, R-ZO7. Show t the (1,0)xin roots, Sol

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Q: 10. Triangle JLM with verfices J(-5, 7), L(8, 3), and M(-3, -1): (0, - 5)

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Q: I need help doing number 7

A: We start solving the given equations simultaneously.

Q: Prove that if PQ≅RS and RS≅UV then PQ≅UV in the simplest way possible. Please do not use any example…

A: Congruent relation is an equivalence relation. So, congruent relation is a reflexive, symmetric and…

Q: Let f lany) prove that' flany) di f feren tiable I5 not point lo,0) .

A: Let the function be fx,y=xy Note:  [ We can say that f is differentiable at (a,b) if f is…

Q: Compute the exist i. lim 8+iz 2--2i z+4 following limies if they . ¡i. Gm Rez.

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Q: Find the Zero and its order for the funcation fcz) = 1 -Pit z te.

A: We know that, f(z) = (z-z0)n has zero of order n at z=z0, if f(z0)= 0

Q: 2 FIND THE PARAMETRIC AND SYMMETRI C EQUATIUNS OF THE 甥寮┤㈑┤㈑┤㈑┤㈑┤ PASSES THROUGH (2,8,10) THAT AND…

A: In geometry and physics and its engineering applications, we use two kinds of quantities, scalars,…

Q: Let H = Span{1+x,1+x², 3+x +2x², 2 + x + x²}. what is dimH?

A: Solution

Q: Consider ỹ,,y2, ÿ,ER³ and that y,+y,+y;=0. For Î=span{ ỹ,,y} and Y=span{ỹ2, y, show that Î=Ỹ.

A: Given  that  y→1, y→2, y→3∈ℝ5 and that                   y→1+ y→2+ y→3=0→. and           Y^=spany→1,…

Q: Show that the set of all real number constitutes incomplete metric space an we choose doxoy) = Itan'…

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Q: 7. Use Green's Theorem (and no other method) to show that the area of the triangle with vertices…

A: Greens theorem

Q: 4. State and prove the law of sines in triangles. 5. Prove lim,0 V2r + %3D 6. Figure out the…

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Q: suppose X=IR with absolute %3D Value meter : Get A' and A and A° For the Yollowing set: A = : m,n EN

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Q: If C, Cz - Cn are Constovts 2111 . u,), uzX2) ---- Un (X)ave Livffen antiable 4111 funetions at x…

A: Introduction: Differentiation is a property of a real-valued function. When the independent variable…

Q: 6. 1 Let W = Span -1 4 and y = 1 What is the distance -4 1 10 from y to W ?

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Q: If fel²() and gelices. prove that fgeles.

A: Given that f∈L2(u), g∈L2(u) By definition If  g∈L2(u)⇒||g||L2&lt;∞

Q: By algebraic properties of R, prove that for every x, y € R with y # 0 (-x) y

A: We have to prove that by algebraic property that ∀x,y∈ℝ with y≠0 -xy=-xy

Q: 10. Prove that the set H={[,ne subgroap of GL(2, R). For show that x HxcH but xHx+H. :9 GL(2,R),

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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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