In the following sketch, AB= AE. Prove that (1) BE || CD (2) BC=ED

Q: x?y' = 4x? + 7xy + 2y² x²,

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Q: Find if y dy et 2а?+3я — 2 -

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Q: 2. s - [GpAq)Ar] = a. 7 [(pV7 (qAr)) As] b. (pV7 (qAr)) As с. (pV (qAr)) d. None of these

A: The given question has been solved with explanation in step 2.

Q: %3D 7. If mBC = (9x – 53)' and mCD = (2r + 45)", find mBAD. E

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Q: Show that if (xig)m.u. is re<rz , it is 8\x,r) C Blxirs] for Jx EX.

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Q: If y = exp(-x²) show that -2xy and hence prove that, for n > 1, %3D y(n+1) + 2xy(") + 2ny("-1) = 0.…

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Q: (1) Find an element r E D4 such that DaH R90 = V. %3D

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Q: Is the equation Bx = p consistent for all p in R^4? Explain.

A: Not consistent for all p in R4.

Q: Use the one sided Greens function to solve the I.VP. -1 2 In 12, y(1) =0, y'(1)=1 412 y" +8ty' + y =…

A: Given equation is, For solving homogenous equation, By cauchy euler equation,

Q: Consider the lollowing inner prodact or R 2 by, % ニaメ, X X. + 2. Cし3)上63) oa tb = ?

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Q: Find the value of c such that E enc = 8. %3D n = 0 C = 8.

A: We have to find the value of c.

Q: In AFGH, FG || IJ. Given that HF=27, HI=12, and HJ= 20, find HG. G J. H

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Q: Find the exact values of x and r. (X, r) 12, 30V3 x ) ) 3D 30° 12

A: From the given figure, it is observed that the opposite side is 12, adjacent side is x and the…

Q: Complete the proof that AUVX ATWX. U V T. W

A: Given:  WX=VX and UX=TX. In △UVX and △TWX WX=VX                  (Given) UX=TX…

Q: a²u , a?u k x² ди at ax2 ' ay?, ||

A: In this question, we used the separation of the variable method to solve the 2-D heat flow.

Q: Complete the following formal proofs. 1. (C > D) ^ (E →F) 2. (F^D)→ G 3. -G 4. -(F^ D) 5. -F v -D 6.…

A: We fill the blanks of the given formal proof by using rules of inference.

Q: d? -(A+B) at t = 1. di?

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Q: Factor 112x? 280x + 147 x + x + Hint: If the Jeading torm is pogativo th e acf is

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Q: Obtain the value of P3 (x) using Rodrigues' formula d" P,(x) = (x² – 1)" (2")n! dx"

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Q: f AABC = ADEF and AB = 15, BC = 20, DE = 3x - 6, hen x = ? %3D %3D

A: GivenAB= 15BC= 20DE=3x-6

Q: When A is arbitrary, we have U 4R c (UA)", N 4s cn An.

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Q: Given APQR AXYZ, which statement is NOT true? O A. PR = XZ O B. YZ = QR O C. RO = ZX O D. ZY = RQ

A: When two triangles are congruent and their corresponding side are also congruent . If…

Q: If A = *yzi – 2x² j + xz? k and B = 221 + yj – x° k, find za (AXB) at (1,0,–2). Ans. -41 - 8j

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Q: Let X ~ NB(r, p). Show that E(X*) =-E(Y – 1)*-1 where Y ~ NB(r+1, p). а. b. Use this result to find…

A: It is given that:

Q: Given: 5x+4y= 24, x + 7y= 11; Prove: y = 1

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Q: Given that DF CE which of the following allows you to prove that ACEF- ACFD-AEFD?

A: Given: The side DF ⊥ side CE  The figure is given as   To prove: ∆CEF≅∆CFD≅∆EFD

Q: Find a, b > 0 such that the following equality holds: {r €R : -a < br – 3 < v2} = [-3, 3).

A: Note the result : The set can be represented in interval form as .

Q: E Given: AC= BD D AE = DF ZA = ZD A Prove: ACAE= ABDF F

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Q: Suppose that m BC = 122°. Find the followi (a (E B

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Q: Given: mzQVR = 49° Prove: x = 15 R V (3x + 4)° U Complete the steps of the proof.

A: Given ∠QVR =49°    and ∠TVu =3x×4    We know ∠QVR =∠TVu             ( as both are vertically…

Q: If y = exp(-x²) show that = -2xy and hence prove that, for n > 1, y(n+1) + 2xy(") + 2ny(n-1) = 0.…

A: Given that : y=e-x2. Therefore,  dydx=ddxe-x2=e-x2.-2x=-2xy  , as y=e-x2. Hence proved that…

Q: 2 Given that i? is defined as being equal to -1, what is i9? F -i 1 H -1 i K -99

A: Given that : i2=-1

Q: Show that if (x.g) m. is re<rz, it is 8lx,r) C Blx,g) for x Ex. U.

A: Metric or Distance: A metric or distance is a function ρ :X×X→ℝ such that ρx, y represents the…

Q: find the length of the arl 30 rse from f=0 to 0 =2

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Q: In OP, PE = PB, PE I DF and PB 1 CA. If DF = 3x + 16 and AB = 3 – x, find x and DE. F X= DE =

A: It is known that any perpendicular drawn from the center of a circle to the chord, bisects the…

Q: Which of the following is true? a. AcØ b. 1e N с. Ах В%3D ВХА d. ACA

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Q: If the substitution u= J2x+| iS used, then Só V2x+ī dx is equivalent to ?

A: Substitution will be done by the given variable

Q: If mZKNM = 71°, then what is mZKNC? %3D В D C A →F N H K L J

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Q: Find (t), given 7(t) = (- 2 In(5t), - 5/5t, – et). %3D F'(t) =

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

Q: Show that || Ar +b|3 cTx +d f(x) = {x |c"x +d > 0}, where A E RmXn, bE Rm, c€ R" and d e R.

A: As per the instruction, we will be solving part (b) of 3.23. We are given the function…

Q: If AB 12 centimeters, OE = 4 centimeters, and OF = 4 centimeters in O0, find CF. %3D E D F

A:

Q: Find AT, ATA, and AAT.

A: Given: A=3-120 we know that for given matrix X=abcd , XT is given by XT=acbd similarly, AT=32-10

Q: ue of a and c are and

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Q: Given the figure below, find the values of x and z. 111° (11r + 47)- %3D II

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Q: For what value of k, if any, is kre 2z dr = 1?

A: NOTE: Refresh your page if you can't see any equations. . use the integration by parts use the…

Q: D B. E C Given: AB XEB = CB × DB Prove: AABC- ADBE

A: To Determine: prove △ABC~△DBE Given: we have a figure in which we have triangles △ABC and △DBE also…

Q: Please see image

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Q: Obtain Llerf x; p). Hence deduce the value of Lierf (bx); pl.

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Q: The IHiplicative in verse of 2° tX -I in Zs [x] /is; mu d. nune of

A: Ring Theory.