Let A, Be M3x3 be such that • |(8AT B)-1| = -1 2 7 • B-'A-1 = В —8 0 with BER 1 1 then the value of B corresponds to 12 a) 4 b) – 12 7 240 c) 240 d) 7

Q: b. Prove that coth² x-1=csch?x

A: Sinh(x)= (e^x-e^-x)/2. Cosh(x)=(e^x+e^-x)/2

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Q: 2. Cuven that 7, = -2 +ui, Z= -2i + 3 and E, - |-i. Gvaluate the followshng %3D 2 | 국 2

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Q: Use the Side Splitter Theorem 7 Maris.comm 14 3.5 2. 4.

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Q: 3-) Find the pointls) to point Az(d,0) on x-3~y2 that are closest メ=2 25 +1,5 0.5 + - -ロ5 + 8.5 to…

A: here we have to find the point on the curve x=3-y2 that are closest to point A(1,0) let point is…

Q: 9 IP A,Be Mnl(R) with A being nou-singular, show that (A-B) A-! CA+B) = (A+B) A! CA-B) %3D

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

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Q: Dyani wrote a proof to show that ZXWY ZYZX. What is her error? Since ZWXZ LZYW, LXZW LYWZ, and XW…

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Q: 2. Verify the set of conditions that guarantee triangle congruence by SSS postulate. Supply the…

A: We have to complete the given table.

Q: Given: PW bisects MO, PN 1 MO Since PN bisects MO, that means that because of the Because PN I MO…

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Q: =8, d=9 ation u such that (a, b, c, d) = p

A: The value of a, b, c and d are given as follows, a=5, b=13,c=8,d=9. To find the permutation μ, such…

Q: 12) Show that D- d-del is shortest distance betueen a x- by +c2.of ; and ax+by tcz= dz?

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Q: Given: AABC A DEF ( not shown) mZA =50°, mZE=33° mZD=2x+ 40 Find: x and mZF Show all your steps…

A: We will find the value of x and  measure of F angle F in the following step

Q: 1. What congruence postulate/theorem cannot be used to prove that ALIV AJIN given that LVis parallel…

A: topic- congruent triangles

Q: lar, let m = 2 and n e of A and B such that

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Q: *10. Suppose AB = CD, AB 1 BC, and CD I BC. (a) Why must AC BD? (What congruence criterion…

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Q: Show that is Reciz) e -ImZ p (ii) Im(iz) = Relz). %3D

A: Solution:- we have to show that  (1)    Re(iZ) = - ImZ (2)    Im(iZ) = Re(Z) where , Z = x + iy

Q: 1. Given: AB intersects CD at O so that 21 is a right angle Prove: 2 and 23 are complementary

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Q: A, Az, An are independert,2) PLiln)=r9)-1), where Bi is eitler Ai or Ai for izlityn in please proof…

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Q: Prove: For allintegers aandb, if a|b then a² |b²

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Q: Let S,(x) = 2x³ – 3x² + 3x – 4, 0<x < 1, S,(x) = x³ + b,x² + c,x + d,1 sxs 2. Find b,, C1, d, that…

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Q: If x<y, prove that x<(x+y)/2<y?

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Q: If u, v are given unequal numbers anu (un-1+ Pn-1), vn = V (u –1 Vn-1), where n2 2 , %3D Un %3D 2…

A: Given

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Q: Find the orthogonal traiectories ofthe one-narameter fomilyy2 - v2

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Q: prove that dv v 21/12 الله duz 2 2

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Q: Verify that the conclusion of Clairaut's theorem is valid, that is, that uxy = uyx u = x4y3 - y4…

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Q: Ju 20²u c² of2 (r, t) = u(x,0) = 0, ut(x,0) = 0 u(0,t) = 0 u(1,t) = 0. da2(x, t) + XX , 00,

A: Introduction: The basic method to solve a partial differential equation is the method of separation…

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Q: /show that fo-1x is-Contindals everywhere.

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Q: et §, ŋ, o be real numbers and consider ctors (1,5,§³); (1,ŋ,n³); (1,0,0²). Determine e conditions…

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Q: In AUVW, UW is extended through point W to point X, MZVWX = (7x + 10)°, mZWUV MZUVW = (2x + 17)°.…

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

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Q: Compute Simits If they the eist 8+iz z²+4 hit Zマ-2 Re 2

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Q: Dyani wrote a proof to show that ZXWY ZYZX. What is her error? Since ZWXZ LZYW, ZXZW LYWZ, and XW…

A: Explanation of the answer is as follows

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Q: What theorem shows that GTY = GUX? Osss O SAS O AAS O ASA

A: We have to check

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Q: 10- Prove that a.b3D la+bl2- la-bl? /4

A: Prove that a.b= la+bl²- la-bl²/4

Q: The segment addition postulate can't be proven using a two column proof. O True O False

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Q: (b) Show that when dist(x, y) = dist(x, –y), then x and y are onal. orthog- %3D

A: Given  dist(x,y) = ||x-y||