Let A=(aij)nxn be symmetric and positive definite. Show that laul< (anan), , lis = 1,2,..n 9

Q: n Rị |1-Ri Lecen (A) = II [A exp(-AZ,)]“ [exp(-ar)] z.)][exp(-Ar)]" i=1

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Q: Which one of the following are true? (Multiple correct answers possible) |P(A) = 1– P(A') P(A) = P(A…

A: here we have to verify the given options.

Q: Let X~Bin(10, 0.3). What is P(X<2)?

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

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Q: 2+ex dx ex Evaluate:

A: Topic = Integration

Q: Differenticte y= (SN( 3))/ (4t 5cos (2x))

A: Given :y=sin(3x)4+5cos(2x)

Q: Rind the Domain Jx-3 x2 16

A: Given query is to find the attached domain of the expression.

Q: 2) FIND THE INTERVAL OF CONV. * (x-1)^" 2 (n+i) n=0

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Q: 10) tind tre area of tve region boonded by the Graphs Of tre Given functions y- 2-x* ,4= 2-4X The…

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Q: 5) [9*dx

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Q: Find indefinite intrege ex -2e て +)S =xp ( xe

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Q: Inn NTT <os 2. n=1

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Q: Hw) if J-0- Gso and X=O+ Cas e Show that Sece+tan 0

A: The given differentiation can be solved by using chain rule. Initially, the y expression can be…

Q: 33.) Show all steps to evaluate by hand: 4-х2 Vx2 + y2 dy dx

A: We have to evaluate the double integral using polar coordinates

Q: If ACX,find A' for(X.I)

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Q: Q) Let x = {1,2, 3, 43 and P=3{はっぽ2,33っ43 Find

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Q: n! Verify that Ex1+…+xr=n,xi20 r^n for any r, n>1 x1!x2!...xr!

A: Consider the given information. Let n is greater than equal to 1 arbitrary. Use the mathematical…

Q: Let p = 1, q=1, r=0 Find value of the following expression (p^q) v ((p ^r) ^ (q V r)) =

A: Note that 1Ʌ1 = 1 1Ʌ0 = 0Ʌ1 =  0Ʌ0 = 0   0V0 = 0 1V0 = 0V1= 1V1 = 1    We have given p=1, q=1, r=0

Q: Let X- N(10, 5'). What is P(X > 3)?

A: Provided data are,

Q: As PQR in sicle Circl 2²4²25 Such that & & Rone (3,4) &(-4,3) fmd <Q PR?

A: Given that PQR is a triangle, which is inside the circle  such that P and Q are (-4,3) and (3,4)…

Q: Let X~N (6,2) and P(X>a)= 0,3 Find a?

A: GivenX~N(6,2)Mean(μ)=6standard deviation(σ)=2

Q: For any natural number m, evaluate 1/m +x")( 3m 2m 2m +x 2x +3x" +6)"* dx, x > 0. m X

A: Topic:- Integration