. Given: GK bisects ZJGI; m ZH = m ZI Prove: GK || HI K

Q: Let VR and suppose p and q are nonnegative integers such that p+q=n. For = (₁₁) and y=(n) in V, set…

A: Gram matrix: The Gram matrix of a set of vectors v1, v2,.., vn in an inner product space is the…

Q: st Sinti +e I mil Cin h (im (F-G)(4) Lhre 3)

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Q: 25. EFGH - PQRH. Which completes the congruence statement? ZQ = ? E Q H R A ZH B ZF CLE DZP

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Q: Which of the sets is orthoponal under the given inner product on C[O, T]? = S Puigenldx I. {1, sinx…

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Q: Evaluate (yzi+yj+zzk) - dA, where S is the boundary of the cube defined by -1<IS2,-1 SUS1, and 0<…

A: We can use gauss divergence theorem to evaluate the surface integral.

Q: tazt Find ECx)ECX?) ,ECX-X)? for tor the fullewing.probubilty distabudia - 20 30 3/10 1/2

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Q: Given: O PQRS: PJ = RK Prove: SJ = QK K Given: OJQKS; PJ = RK Prove: ZP = LR

A: Given that, in quadrilateral PQRS, PJ = RK. We have to prove that, SJ = QK.

Q: OMNPQ, with T the midpoint of MN and S the midpoint of QP AQMS = ANPT and MSPT is a O Given: Prove:…

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Q: QI: Prove that vM ror VM 2 s where r and s are the positive integers unless M # r .

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Q: Prove: Given that ll Xllo sl1x|1, <vñ lIXloo for XEL". 2 Show that for

A: The matrix p- norm = operator norm                            ||A||p = Maxx≠0 || Ax||p||x||p…

Q: blet R be non- toival that, tir each ota eR there exst element x n R Such that Such unighe axa=a.…

A: A non- trivial ring R is given  And for each 0≠a∈R ∃ x∈R s.t. axa=a We need to prove that R is…

Q: Po Prove that fcz) = zis coutinuous at z=z. O Prove that. fZキ2。 is dis continnity at z=Zo, where Zn

A: (1) we have to prove that                                                              f(z)=z2 is…

Q: Find all the values of z: (hìnt: use tvalues of the discrirninant) 28 + 423 +8 = 0 O -1.366-j0.366ó…

A: We have,z6+4z3+8=0Let u=z3, u2=z6∴u2+4u+8=0u=-4±44-4(1)(8)2(1)u=-4±-162u=-2+2j, -2-2j

Q: Geometry Question

A: We have to find x

Q: a.) Give e a جا b.) Give

A: We use different techinques for solving this problem. The first one is quite easy and we make use of…

Q: O Find the Posifi ve value of * that işfie the egquation x-2X+ 452Bisection methed)

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Q: Using a proof by contradiction and the well-ordering property, prove Vr E R, if 2 < r, then Vn E N,…

A: Every nonempty subset of natural numbers has a smallest element, i.e, if B is a nonempty subset of…

Q: Prove that u an V if subspaces f P and uev then V+Sut are

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Q: Compute F. Oszs V1-x2 –y? Let E be the hemisphere described by and F=Vz2 + x² +y² i + Vz² + x² + y²…

A: By Gauss divergence theorem:∬∂EF·nds=∭Ediv(F)dvhere givenF=x2+y2+z2( i^+j^ +k^…

Q: 10) Prove the following. Use a 2-column proof, a paragraph proof or a flowchart proof. Given: V is…

A: Given V is the mid point of YWUY || XWwe have to prove that ∆UVY ≅∆XVW

Q: O which of The Folowmy ODES ane Linear or y-lmear. Abo show hei orders and degrees . (E+2m L²= 10…

A: An ordinary differential equation is an equation containing independent variables, dependent…

Q: Figure shows the following three vectors: - (42 mi - (1.5 m 6-(-1.6mi + (2.9 mj. 2(-3.7 mj. What is…

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Q: 4. Determinewether.he.series..Conv K.. CeJ Cn) -h .... . .. m. h4 .… ス

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Q: Which theorem can you use to prove that GHJ and GKJ are congruent? 8 G J K O A. ASA B. SAS C. SSS D.…

A: The HL Postulate states that if the hypotenuse and leg of one right triangle are congruent to the…

Q: What is the equation of the following circle? 7)2 = 2

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Q: et A be 4X4r nas non-brivial . -son-

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Q: Prove that o curl f dS = | 6f · dr - v ¢ x f · d$.

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Q: The caudrearoot af x subtrabted from twice X is equal to sove n .In sym bo. ト,2,3,43; Bこt2,46,83.…

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Q: The norm of the set {cosh(i nn x},n E N, –-2<x<2 in the Hermitian sense is:

A: Given,                  cosi nπx, n∈ ℕ, -2≤x≤2

Q: UX bisects ZVXZ and ZWUY. Complete the proof that XY = WX. Y 1 2 3 4 5 6 7 8 9 10 Statement 11 12 Z…

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Q: Let A be a 7*4 matrie. What must a and b in or der to TO= Ax?

A: For it to be possible that two matrices A,B  can be multiplied as AB then we must have number of…

Q: If P and Q are represented by the numbers z1 and z2 such that H- then the circumcentre of AOPQ,…

A: Given P an Q are represented by the numbers z1 and z2 such that |1z1+1z2|=|1z1-1z2| We need to find…

Q: Ql1. Find the dereiatine folling funchion. FG)= 3. (2t -1) It 45 using the Fundamental Theorem of…

A: To find the derivative using fundamental theorem of calculus

Q: 4z2+4 Let C: z+1=4 and I = = §. dz. Then z2-1 |=-2ni 1=0 (without applying Cauchy-Goursat Theorem)…

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Q: Fa the stand f tthe tion of ae (-A - - h (-43) and (0, 7). Sameter Qtn 0 v a t

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