Ex 6 Show that X -Ca,i) is HOM with y- (1,00) if X and y have the euraal Seibsipace op. af R Hint: fex)= at

Q: Show that a fomws with R>o Ssee igue] may be descuibed panometuicaly by u cU,N] Cosu, (R+ o…

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Q: If I, = S e cos" xdx, where n > 2, prove that In 1+n(n-1)In-2 n² +1

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Q: Ex 2.6. for sets ASB CC show that C=BU(CIA)?

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Q: Find asy mPtotes st the f ellowing cur Ves then g laph them. -メメロメーー

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Q: Given: rectangle WXYZ Prove: AWXYE AYZW X. Y W Which of the following statements is used within this…

A: We use properties of rectangle for this question  we know rectangle is type of parallelogram so…

Q: Show that : sup {reQ:r<a} =a, for each a e R. %3D

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Q: The different loul equaticn 5. %3D can be wntten in He torw n He tor m MX, y)dn t N(x,4) dy =0 Find…

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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: 2. Suppose that APOR is isosceles with side PQ congruent to side PR as shown in the figure below.…

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Q: メ (myst メート→ Q(2,4) where: Path C くz rom ○)と to over the Evaluate the

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Q: Can Thenem a Séauekie loubimoue of at usuo EX i for OR nemeed is coutimons al spae) nomed fix→X(when…

A: Let f:(X,dx)→(Y,dy) be a function continuous at x=x0∈X       if and only iffor any sequence {xn} of…

Q: show that (2n+1) Pr= PA+t=PAt Use tege ndre palgnanicds the

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Q: Ex(28)9 het fix-oy beany funchron if3ghi yox shch that 9०P = Ix Roh= Ly then Ris abijection gof and…

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Q: 12 Deter mine the hunchon fbc) 13 conhintdeus at loe Birked 1S Pes) Conhinaus at oc =0?

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Q: 3) Given: SR IRT; TU LUS; 4STR = 4TSU Prove: A TRS 2 A SUT T R U

A: Given, SR⊥RT,  TU⊥US∆STR≅∆TSU STATEMENTREASONSSR⊥RTgivenTU⊥USgivenSU=TRBoth intercept triangle with…

Q: Suppose n is an integer and z-z3D =r is a contour traversed n dz %3D once in counter clockwise, then…

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Q: Let a = arcos/a and tan/B)= whe B is n Quadrant N. Usng this mformatien, euduate the 25 Stataments…

A: Given, a = arccos(-7/25) then cosa = -7/25 tanB = -3/4             B is in fourth quadrant

Q: 1. If r = xi + yj + zk and r = |r|, show that (i) div 0, %3D (ii) div (grad ") = n (n + 1) r" - 2…

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Q: Conotrut a onatn'x whode Columu 8pure (leli2) & whole cli5) 10 is spanned by now &pale in Bpanned by

A: Column space is spanned by 3-dimensional vector. Row space is spanned by 2-dimensional vector.…

Q: If ASTU - AXYZ, which statements must be true? Check all that apply. ST - XY YZ O XY O ZS E LX O ZT…

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Q: Suppose n is an integer and z-z =r is a contour traversed once in counter clockwise , then n dz = 2…

A: Cauchy's integral formula can be stated as follows.

Q: メ人 xp- Vtan (e) sec?(e) de Evewale Jhe Jollowing! op (e)as (a)

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Q: 1. If PR = 25, QR = 6 and NR = 10, find MR. %3D %3D 2. If MR = 12, NR = 9 and PR =3 QR, find PR. %3D

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Q: 1f itwas x25ect, yatunt prove Thut dy

A: Simple derivative

Q: If ADEF ARST, then we can conclude that ZR

A: Explanation of the solution is given below...

Q: a) Assume that y is a continvoudly differentichle fone b) Celculote tontseetdt + 3.

A: We have to solve these

Q: 8. to 12 3. 4. 7. agram above gles would be congruent under the vertical rem?

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Q: hrat oR the aoos tickane frs fn Cars to leave dihe lot hin ve a Cheroles onaa Tod, reaprdiess of the…

A: here given, total 25 cars data car brand no. of cars Nissan 4 Toyota 6 mercedes 2…

Q: Given: ZW and ZY are right angles WX = XY Prove: AXWZ EAXYZ

A: GIVEN:- LW=LY=90 WX=XY

Q: ala lo oepse a ad 1. Let m*(A) = 0. Prove that for every B, m*(BUA) = m"(B).

A: We have to prove the given statement.

Q: of af 42. Assume that w = (х, у) — ху, and (х, у) ду dw dw Find and at ds

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Q: Which rec tor lield s are not conservative %3D O F(ay)= (3x² - 4 y 4y=-2x> r.

A: Note : As per authoring guidelines, when multiple subparts are posted, then only first three…

Q: キIND THE SOLUTIONS to THE DEFF ERENTIAL EQUATI ON y'= x? tyZ %3D メY

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Q: Consider (Ru) .f : R->R -3 X3o 3. X70 Prove Pex) is Con tinuos onR-301

A: Given that                                      f:R→Rf(x)=-3; x≤03    ; x&gt;0 we have to prove that…

Q: Complete the proof that AWXY AWYX. Y W Statement Reason WX WY Given ZW ZW AWXY AWYX AAS ASA CPCTC…

A: see below the answer and explanation

Q: Show that (t As) can be derived from the premises pq, q→~r,r, pV (t As).

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Q: Given: QT RS QU Prove: UT RV VS R

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Q: Suppose you Know that tand 3/12. Vsing this infe, de tevmine cuhot quadiantdis in dnd Caliulate…

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Q: 29. The equivalent resistance, Reg, of four resis- tors, R,, R2, R3, and R4, that are connected eq…

A: #29 Find r eq

Q: a) Suppose that you wish to prove that ARST = ASRV. Using the reason Identity, name one pair of…

A: Given: We wish to have the triangle RST and triangle RSV to be congruent.

Q: The identity S dyd x f, dxdy is %3D O False True

A: We need to check whether the given Identity is True or False.

Q: a²z If z = arctan ), find ( ay?

A: Given,           z=arctanyx= tan-1yxTo find           ∂2z∂x2+∂2z∂y2=?

Q: 14. GIVEN: QD || UA, QU || DA. PROVE: XQUA = XADQ.

A: Given: QD || UA QU || DA To prove : ∠QUA ≅ ∠ADQ

Q: Suppose n is an integer and z-z=r is a contour traversed once in counter clockwise, then dz 2 Ti if…

A: Since it is the standard result which is true for n=-1 which proof is given in next step.

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

Q: Prove Vr, y E Z, if ry is even and y is odd, then r+y is odd.

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Q: If x=sect and Y ztan t, evaluete at 1of the Following to %3D イット

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Q: If p(x, y, z) = x²z + ey/x, evaluate grad op at the point (1, 0, -1).

A: The function is φ(x, y, z)=x2z+ey/x