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Q: 6. In AABC, ZB = 90° and BD I AC prove that BD' = AD.DC

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Q: degrala ony do not eualunte the 23 Ncampute Ihe aneA of vegion enclesed by the

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Q: 7. Show that if A and B are similar, then det A = det B. %3D

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Q: 10. Given: WZ = ZS = SD = DW Proof Prove: AWZD = ASDZ

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Q: b) Prove Y)- min (t, Ye, Kg) is a UMVUE of o non

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Q: Show theit the fenias +- (AtI)(28+1) (P+1)(2p41)(38+1) (uhese a>0, B>0) conveages if B>a amd…

A: Ratio test If we have series ∑ann=1∞ Then we will find the limit l = limn→∞an+1an If l<1 , then…

Q: 2) A peutayonal laina ide 3omm Rest on the grendwith one ofs des in- elened U60 to h.p and tHie Sane…

A: Given : pentagon lamina of 30 mm side, surface is inclined at 300 to VP and side on which it rests…

Q: is tG following Conresger Os diveeg fao - X

A: Given: [They not mention the limit values ]. The given function is f(x)=x1n or  xn.

Q: 12, GIVEN: JKI KT, ET 1 KT, KV TL, IL EV. PROVE: AJKL AETV. T.

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Q: 10. Name the theorem or postulate that lets you immediately conclude AABD ACBD. SAS ASA AAS Nore of…

A: We know that there are total four ways are available for finding two triangles congruent: SSS, or…

Q: 2. fow く2 <a 30 20 Prove thot 大2 %3D n 21

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Q: Prove both sides equal πU (PN ₂) = (π Up) N (π UV).

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Q: 2. Is * commutative? If it is commutative, show it. Otherwise, give a counterexample.

A: Given, * a b c d e a a b c d e b b c a e c c c a b b a d b e b e d e d b a d c

Q: If OE = OF, then AB 2 CD. %3D

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Q: is a conplex saries of nunbers and for VNEN monert an, bn ER Let 2n- an +ibn. Show that if Ź 2n =…

A: Given:  ∑n=1∞zn is a complex series of numbers and  ∀n∈ℕ, an , bn∈ℝ Let zn= an+i bn To show that :…

Q: 8. Given: MLACB = 95°, MLCDE = 57°, and mLB = 28° Prove: AACB~ADCE %3D D

A: When two triangles are similar it means its sides are in constant proportion or all three…

Q: Theorem 3: Ifconverges to l, ther any subsequence ofalso comverges to l.

A: We have given that sn converges to l. Let snk be any subsequence of sn. We need to prove that snk…

Q: 4. Given that AB || CF, m²E = 48 ° and mZB=78°, Prove: mzF=30° %3D A. C. 789 48

A: We will solve it by using properties of angles

Q: 4x Evaluate the in integral (6?++).(2x-2)

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Q: 8. Given: AE and BD intersect at C. BA1CA and CD1ED. Prove: ABAC~AEDC Wo Statements Reasons AEans 2D…

A: Given query is to prove that triangles are similar.

Q: determine if the series is absolutely convergent, conditionally convergent, or divergent.

A: Consider the given series

Q: 1. Prove the following in SDE. P+ Q, Q→ R, R→ S - P –→ (R A S)

A: When we infer a conclusion from a given premises in order to produce an argument, we use laws of…

Q: ) 9f cp andeobea Semi diasmeter pairaf conjuegate 4-the llMipse 4L1 then the adeesof carvatere al P…

A: Given: The equation of the ellipse is x2a2+y2b2=1. We need to show that the radius of curvature at…

Q: 3. Suppose AB=RS and mzB = mzS. What other information is needed to prove that AABC = ARST by SAS?…

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Q: Is S = {a + b√(2) : a, b ∈ ℤ} dense in ℝ?

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Q: 13. Compariso is to A is to: B ware, where none of the horizo inwever, by moving the re, where

A: Note: Hi! Thank you for the question as per the honor code, we’ll answer the first question since…

Q: 3. Evaluate using convolution theorem: ਕਰ S(514)

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Q: 2) Given: ZRAL E LYAL, ZRLA LYLA A Prove: AR = AY R.

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Q: 14- * + 4y = sinz diferansiyel denklemin mertebesi aşağıdakilerden hangisidir? 9 0.5 19040

A: Which of the following is the order of the differential equation?

Q: 1Q/Give an examfle-of a frouf A-BER such thet (AUB)"= > 22/Prove thetRis aferfect cfaee

A: Question from group theory. NOTE- As per our guidelines we are supposed to answer only one question,…

Q: 2. If in AABC we have ZB = LC, then AB AC and AABC is isosceles.

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Q: 1. Compute the following double in- tegrals. a. SSr 2x + 4y + 10xy dA, R : 0 < x < 1,0 < y< 2

A: Given that  The double integral 2x+4y+10xy To evaluate the double integral using the given…

Q: 7. Retermine whether the two *= 13 (mud 23) and x'= 15 (med) solvable . are

A: 7) as per our norms we have to write one question at a time kindly repost remaining questions.

Q: 1. Create a paragraph proof. Given: ZWVX = LYXV ZYVX ZWXV Prove: AVXY = AXVW V

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Q: what is the iength of XY in ine figurebeiow 6) 12 c) 2J3 du3 sd el 6J 3 60

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Q: 3. In the diagram below of AAGE and AOLD, ZGAE ZLOD, and AE OD. 44 To prove that AAGE and AOLD are…

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Q: -Calculate the Four ier Serie for, fuay =0, -2saso %3D 2 n, Ond plat the fe-

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Q: 4)Evaluate tay-ydady Where Sis a Lringle with Veetui (0,0),10,1-(0,D.

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Q: What statement could be used to prove that m tn?

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Q: 6. Prove that, if a, b e Z, then 3a? – 4b – 5 0. - -

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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: show that yon=exp[-S pesde]Sesplspeade 7 grods 4c is the sotommian solurion to rhe D. E ý+PO)y sgoo…

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Q: Let X, , X>, . X, be a vandam of size I For o hormol distribuien with unrur M and $6. IS 5 Xi = 132…

A: Provided information is ;  sample size(n) = 11 ∑i=1nxi  = 132 ∑i=1n(xi-x¯)2 =99 confidence interval…

Q: show that whe ther RERiemman L-,1} yot

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Q: Then, we assume that Wn+1 - H Wn - u kin+1 kn 1 2 E Wn-p E Wn-p p=0 p=1 (6) Zn+1 - € Zn - E Vn+1 Vn…

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Q: Prove thet lo 0 n*-| =O Cmod 3) 24+1

A: In the given problem we have to prove by Fermat’s Theorem…

Q: 5. Given: MR O0 LM Prove: AMNR AONQ Proof: Statement Reason 1. ZM 0 1. 2. 2. 3. 3.

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Q: 2. Flty2) ahere fey)- py 2474 and fey.) Nutyoind Fln,y,7) = 1

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Q: 9n +2 Σ (An + B) Consider the serles > with A, ries ?

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Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.