3.1 For Aand B subsets of the univers al se tx iprovide a formal prost for: A x CBu C) is a subset of (AXB) UCAXC VA

Q: 1. Disprove: If A UC=B and AUD=B then C=D. (You may define 2={a,b,c,d,e} for your counterexample.)…

A: As per guidelines we have to solve only one question

Q: Tami Far oybe R for c>0 2)-lal s a Ś lal 3) ta +bl staI T In Proof: ) ) het lalsc ASC

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…

Q: 15 the quacratc epuahen has Vouts and x- nd the vahe of C

A:

Q: Vse Cylindrcal Coordmates to writen the frple tHerated mtegral Meaded to fnd the houme of he Sdid…

A: According to the given information, it is required to set up the integral for the volume of the…

Q: 2003 yo0, Find he Let, hC), 9 gph of h la) where the fangenf bnd is or2ontal where the foogen…

A:

Q: Consider the Venn diagram below. Illustrate the other De Morgan's law by selecting the region(s)…

A: GivenAc ∪ Bc

Q: with N=10 so set Of dah lir a popunhon bunoling 160 b) Calcolale the popuhhon Jhndard dernhon.

A: Formula :

Q: Let C: z-3 and I – 6dz. ONone of these

A:

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: 3 2 If A = use the Cayley-Hamilton theorem to determine A?. 5 1

A: We can solve this by using given information

Q: A The legih in pnefers of the fout sider f a building angx Cox- 5-9*, and Axt a. Calculate The…

A: Solution :   (a)   Total length around the building               = 3x + (6x - 5) + 9x + (4x + 1)…

Q: 2. Answer one of the following questions: (a) Show that a necessary and sufficient condition that…

A:

Q: Which of the ing moion can be nduced to be asepehle gation y--1da + de = 0 Oa Ony Oh Orly Cc Orly…

A:

Q: A liner tragfematin defimeed by a malrıx let IRR be a lineor tras ler malin. defneed by Tv) - Av ;…

A: I have proved Linear transformation using the definition

Q: I Write as and 43 Pacm fractions H. 0,1 6 to 0,51 0, iż of the recurring draumas below in the form…

A: Note: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question…

Q: 2. Which piece of information is necessary to use the SSS Congruence Postulate to prove that ATRY Y…

A: Which piece of information is necessary to use the SSS Congruence Postulate to prove that ΔTRY≅ΔCAP,…

Q: let l X, BIR) be Boral mea sure 3pace Suppose that ŷ An- | otL sta be a family of elements of BIR)…

A:

Q: (3) OSJ A traffic Control engineer reports that 75% of the Vehicles Passing through a check Point…

A: As per guidelines expert have to answer first q question only.

Q: Find the second partal derkatives of the funenion Fx.y)- 2y o a6, 4y? 6x ду 6x. 4y aydx 器 4y o a 6x…

A:

Q: 7. Consider the figure to below. Which of the following statements are correct? Select all that…

A:

Q: What is the missing statement in the proof? Given: 21 = 22 3 Prove: / || m 1 2 Z1 = Z2 Given Il| m…

A:

Q: O Find the general solution of the differentlal equatton. %3D of the given answerß none cly-21" %3D

A:

Q: There dre 10 00 0 Screens 13% that has uth de defect Scratches ubblos others times 4 50 350 120…

A: Given :

Q: luhich of the following is not a sulispore ah 'R 3 uEetors of the form of a to a Ca,-a, b b Ca, b,…

A: Subspace of the vector space

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: 1. Prove: Va, b, c E Z: alb and blc = alc 2. Give an example with a = 7 and b, c + 7.

A: Hey, since there are multiple questions posted, we will answer first question. If you want any…

Q: Janily of or edo thogonddraje to the following formily': x²- axy + Cy =36

A:

Q: 4 Let X,) be a pankizlly oadered e For x,y € X deftre xLy eff x sy and x#y. Pucose the Fallowiag:…

A:

Q: 7) Write a proof for the following: Given: QRESR ST = QT %3D Prove: AQRTEASRT Q

A: QR ¯ ≅ SR ¯ ST¯ ≅ QT ¯

Q: for AUB unih AG B inderser for is not unusual.) Then, A+B= B+ A A B= B A A (B+ C) = A B+ A C A+Ø= A…

A: In this question we need to explain about the underlined symbols ∪ ,   ∩  ,   ϕ  .

Q: Shaa thut the graf of lincs iju fins rom F from E Iwhore is a iomasphic wilh Ge(5)

A:

Q: H.wBy using C.R.C., ind the lerivative of hea)=121? if it exist.

A: Hello. Since your question has multiple parts, we will solve the first three parts for you. If you…

Q: PO しl Let 4Let R be the reaion enclosed by oe en closed by Jhe graphs [sreph R ont omt y=8; x= o ind…

A: Hey, since there are multiple questions posted, we will answer first question. If you want any…

Q: Which of the following can you not use to prove A CAT S A DOG? 1. CA DO II. ZC ZD III. ZA E ZOo IV.…

A:

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

A:

Q: 1. Find the interior and boundary of the following sets: a] A- {-:nEN} b] N al 0

A: Solution #1(b). Given the set N, i.e. set of natural number. Definition: The point x is called an…

Q: Check the lineor delende nee or IndePondence fature for seto below: in M UR 2x2 1 o in PsUR) B)…

A: The solution is given as

Q: Prove or disprove the following: Vne Z, n³ + n²+1 is odd

A:

Q: (5.1) Suppose dhật the trapezoidal rule MECA,b). Determine the number 04 interuals (n) hequired te…

A: Given:        fx=∫12xln(x) dx Trapezoidal rule is given by ∫abf(x)dx=∆x2fx0+2fx1+2fx2+...fxn…

Q: 7. Consider the following figure and proof. E A Given: RE = 2AR and RT = 2GR %3D Prove: AGAR~ATER

A: RE=2AR RT=2GR

Q: 12 find the 1Pnear approxtimutlon of fCx)=(1+x )° atX=D0. Using this apporimatlon te cskamilte…

A:

Q: 5. Let TE B(H). Show that (ker T)- = ran T.

A: Given: T∈BH and T† is an adjoint of an operator T. To show: ker T⊥=ranT†

Q: 6. Given: ZR= ZZ CA= YA Prove: ACRA =AYZA Y

A:

Q: All of the following assumptions are true about homoscedasticity except that it Select one: O a.…

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: 9(2): het f) = x'+3x²- ax+ a and g(4)=x+2x+ 1 E Q [x]. Find the Unique.poly nomials Such that flx) =…

A:

Q: Vhich of the following must be true so that AKLM= ANOP by SAS M K N. OA: LM OP Strike Reset OB: KL…

A: The triangles ∆KLM≅∆NOP by SAS. Then which of the following is correct.

Q: what Reasow: Complete the proof that AHIK = AGJK. I HI I HJ GNew Givew Given K 26全CH Z GkJ Î CHKI ?…

A: angle G = angle H ( right angled angle) angle GKJ = angle HKI ( vertically opposite angle)…

Q: consider the propaitiau for S=E an, where Sy = Ean is its K-th partalsu Sumy I-If Rim Sx-0, so the…

A:

Set Theory

Every field in the present world involves a set. The theory of sets was developed by German mathematician Georg Cantor while working on the “problems of trigonometric series”.