a) f a²+ a ECCR) for all a E R, then Poove thot R is Commutalve.

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

A:

Q: 8. Given: AE and BD intersect at C. BA1CA and CD1 ED. Prove: ABAC~AEDC Wo Statements Reasons AEant…

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Q: O Ic ABCD is a diagonals thombus whese Cut at the origin O , then prove that OÃ't OB tO toD=0

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

A:

Q: 3. AABC is isosceles with AB = AC; M and N are the midpoints of AB and AC respectively. If 41 = %3D…

A: Use the congruency property

Q: D. Prove that CQ = DQ 3. In the accompanying figure we are given that se(C) = without using any part…

A: In the question we have to prove that CQ=DQ

Q: Given the mife has betweeu so oud $ 50,000 of msurauce what ios s the ebatily probabii tū between 0…

A: The conditional probability formula is, PA|B=PA∩BPB The row totals and column totals are,   0 -…

Q: 6. Use the Side-Splitter Theorem to find z given that NQ is parallel to OP. 2.5 5 M O 4 3

A: We have to find out

Q: 8. Chords AC and DE intersect at Point R in OQ. If AR = 6, RC = 7, and DR = 3, what is RE? %3D %3D

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Q: and Z , if y=0 Solue %3D By using Direct melh oel.

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Q: if JERLA.b] and it hex)- J(x). except for finite mumber of Paint in Cab] then that he Rlab] prove.…

A: if g ∈R[a,b] and if h(x) = g(x) except for a finite number of points in [a,b] then prove that h…

Q: d, d': xxx-R be two metrices on x that Satisfy following for every nEX and >0 7>0 st. Bai (x, S) C…

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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…

A:

Q: 5. Let H= [ (û ¿)I a,b,c EIRI, show that: (H,+) is a sub gromp of (M,+).

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Q: Let x, y E Z. Prove that if 3 ł x and 3 ł y, then 3|(2² – v²).

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Q: 2. Prove this using indirect proof in two-column form. Given: MP 1 NO M Prove: ZNPM is not a…

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Q: Prove that for Vr > 0, s > 0, √√r + √√5 ± √√r + s r, s

A: # As per the guidelines we are entitled to solve one question at a time please resubmit the other…

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

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

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Q: (a) Prove that de 2n a>b>0 Jo a+ bcose Ja? - b2

A: We will use basic knowledge of Integral Calculus and trigonometric identities to solve this…

Q: 3. Show that S, has the presentation (x, ylx* = y? (xy) %3D %3D

A: Given: Group S4 We need to show that S4 has representationx,y|x4=y2=xy3=1

Q: W Given: OWXYZ with diagonals WY and XZ Prove: 21 = 22 2

A: Given: In figure  WXYZ is a rectangle with diagonals WY and XZ. To show: ∠1≅∠2

Q: (A BC +he 1のternal of o, B ang le mtersect at ņ,y ond 2respecthey ABC, the circumcircle Y and Z…

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Q: O Gven rref(A), -[!!] and A represents for mation →R; Tlu)-Au. Imear trans- Ti R State all rectors…

A: How to calculate the range of the operator T, whose corresponding RREF of the matrix is…

Q: 12. If NQ bisects ZRNP, then 2QNP 13. If RN bisects ZSRP and m2=55, then mZ1=

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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

Q: 2. Prove this using indirect proof in two-column form. Given: MP I NO Prove: ZNPM is not a straight…

A:

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: 1. If MC N, then MAN = Ø. %3D 2. If XnY = Ø, then XAY = X – Y. %3D %3D 3. If I = N1000000000000000,…

A: The main objective is to determine the statement is true or false. As per our guidelines I can…

Q: gla): [veri de, fued g'la). ☺ Compute #4.@ If ) es ds -6

A: if function is continuous on interval [a,b], and  Above rule is also called Leibnitz rule of…

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: 3. If u= (x+y +z') , prove that +y

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

A:

Q: 4) Let (an) be anumsenical seguence sveh that lin u"4, Then the nadius of Comvergonce of the beries…

A: The given series is: ∑n=0∞7an2xn. We will use the root test to find the radius of convergence.

Q: prove in words: If {X, Y, Z} ` A ∧ ¬A, then {Y, Z} ` ¬X ` = derivability

A: Use the deduction theorem: Deduction theorem states that, If ┌ A⊦B then ┌⊦ A→B

Q: Given: WZ YZ, wx YX Prove:4 WZX <YZX Statements Reasons

A:

Q: *Show that for any x, y ER² we have doo (x,y) ≤ d2(x, y) ≤ di(x, y). Undez d2(x, y)? Under what…

A: To Show:  d∞(x,y)≤d2(x,y)≤d1(x,y). for x,y∈ℝ2. Also we need to examine that under what condition…

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: When two resistors having resistance R, ohms and R, ohms are connected in parallel, R,R, R, +R,…

A: Given: R=R1R2R1+R2 We know that for finding partial derivative of given function with respect to R1,…

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.

A:

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

A:

Q: I. Solve using De Moivre's Theorem. Given that z is not real number and z = 1, show that w = z-1 z+1

A:

Q: Suppose that B is a point between A and C. Prove that AB−→ =AC−→

A: B is a point on AC. Let, A=(x1,y1) and C=(x3,y3)Then direction vector of AC=(x3 - x1, y3-y1)

Q: Given: ZYLF = ZFRY, RFY AFY Prove: AFRY= AFLY Y L State ment Reason 1. ZYLF 4FRY 2. ZRFY = AFY 3. FY…

A: We have to find reasons