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Q: 11. Let f(x,y)=x²y+y?cosx, find Vf. einiog O lo 03002 oldizaog Ics

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Q: o is a) 1-1 b) onto c) Both 1-1 and onto d) None

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Q: find Rang, coefficiend of Rangs, Quartile devialion and cocfficient, of of the following OD classes…

A: Range= Largest term-shortest term R=L-S Here S= 1-0.5= 0.5 L= 60+0.5= 60.5 R= 60.5-0.5= 60…

Q: a) Assume that y is a continously functian in t. Evaluate differ entiable TT to

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Q: OShow that in 27 and use Soot method has bisection approximation to the Soot * at leest within a the…

A: The given equation is. fx=x3+4x2-10=0 fx=x3+4x2-10 To find the root in the interval 1,2 that is…

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: 36:- find the chanactuiske egpation the gymmteicmatox Aに ー1 2 -1 2. A and hence otstain A ond Verify…

A: The given matrix is  A=2-11-12-11-12 Finding the characteristic polynomial of the given matrix…

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

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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: 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

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A: The condition for weakly stationary processes is that the mean and the variance are time invariant…

Q: For wich of the following Lunchions is Roll's theovem applicabre in [o,2] O 2/3 f13) = (x-1) f(1) =…

A: By Rolles Theorem, for a function f:[a,b]→R, if  (a) f is continuous on [a,b](b) f is differentiable…

Q: Let (W, t > 0) be standard BM. Show that P(n|w,1 – Wa sc) → as n → 0.

A: From the given information,  (Wt, t≥0) be standard Brownian Motion. Note: In the given situation,…

Q: (4b) Is Tâ onto? How do we know?

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Q: A hransfoomation is definad by Hhe axa matox A=-a b-a atb Ifois an odd imtreger, prove %3D ushere a…

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

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

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Q: the dihedrad gronup Consider Du Eaub: a4-6=cab =1} the of Du and Verify drived Discuss Possible…

A: We will (1) first find the conjugacy class for the given group and then (2) we give the solution to…

Q: let fai) = -x+7| -1-342| whare XER GIue Explietly expression for z y the full Bmupliyind

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Q: If ZH and LJ are supplementary in HJKL, are a) ZK and ZL necessarily supplementary also? b) ZH and…

A: Given :∠H and ∠J are supplementary…

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

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Q: Consider S:RR" D show using det, that s is L.7. linear transtermation Determine malcix [s],

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Q: which of the foll ow ing functinn Setisfy Rolle's conditions Frx)=1x-51 on [ 4.7]

A: We have to check that function f(x) =|x-5| is satisfy the Rolle's theorem on [4,7]

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

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Q: n the diggram boxe OXBC Esatrapezioni forinmeelabove ehc X-akis lby the inters ectio ns of Iine 12-)…

A: The point A is the intersection point of two straight lines y=x and y=4. The coordinates x,y of…

Q: Showw Fom yex)=D90Y,(x) + a, y,(x) that seris sol utron is of the hene y,cx) contains only even…

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Q: (a, o) is not measurable. ylgn ihi

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Q: Let an= こn らnf1 a) de ter mine whetber I an] is conver g ent or diver gent b) determine whether

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Q: (2 Let xinN(0.1), n = 2 and T= Xx +X2 Show that Tis a Sufficiency Stakistic.

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Q: - Suppose itat ". *, are foot chebjshev poy nomial T,So detdmin irtelpola ting rol, nomal -f Tthe…

A: We are given that x0, x1, x2 are roots of Chebyshev polynomial T3. We know that T3(x)=4x3-3x. And…

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: (a) Prove the following property: (:) - (.".)

A: Hey, since there are more than two questions posted, we will answer the first question. If you want…

Q: Calculate Ehe Value of:(o00001 (0000001A in GF () witlh vmc) =x°+x+X++

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Q: v. Let Ac S, prove that P(Ā) = 1- P(A)

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Q: 12 २ (४) = dt | २स Prove !- \) ২-০০) = २(-०० ) 3D \

A: Given that Qx=12π∫x∞e-t22dtTo prove:1. Q-∞=12. Q-x=1-QxSolution:we know that ∫-∞∞e-x2dx=π       ...…

Q: 3=the demmand fumetion forx umits of on item is givem by the functio P= 70-0.07x. what is the…

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

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Q: Suppose A · B = 0. Show that this implies that C(B) is contained in Null(A).

A: Suppose A.B = 0 then we have to show that  Column space of B contained in the null space of A  i.e…

Q: Evaluate (x+ V1- x²) dx modd ear od wod woml bre hJo 1osr esirmol lesgsta odinia by interpreting it…

A: The given integration is: ∫01x+1-x2dx To find the value of the integration.

Q: Thedremilf fIa b}8is.cantlunans funchianthen fERiemann Ianb'sr Does the conkerse af the…

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Q: find the desivalive d the functian ha)= ainfse and compute h'(2) Th o

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Q: Show that U. AS cuhere N= {3 unaluralnun %3D

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Q: 2. Suppose that {v1,... , Vp} is an orthonormal set in R", and that x E R". What can you say about…

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Q: Evaluate the integral. (Hint: rewrite cot, do u-sub) 7π/3 4 cot dt 7n/6 O 28 In 3 -14 In 3 -28 In 3…

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

A: Let A, B  and C are the subsets of the Universal set.   We have to show : A×(B ∪ C)  is a subset of…

Q: Apply any method to prove that alb (or a nand b), which is defined to be ¬(a ^ b) is complete. Write…

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Q: 5. Let A z 3 4 87 8- ーん Prore that find ite diogonel form. A it diaganalianllen and

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