(2) O show that you Y2,43, and Yu are solutians to NOTE : Geueral Solufion

Q: st Sinti +e I mil Cin h (im (F-G)(4) Lhre 3)

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Q: X+Y 4- If X ~Exp(Ø) , Y ~Exp(Ø) then g = О a) Еxp (20) O b) U(0,1) c) Chi-square with 2 degrees O d)…

A: Exponential Distribution: A continuous random variable X is said to follow Exponential distribution…

Q: 2. Suppose ALXry) = 2xy-ix"y. Find D.A

A: We have to find out ∇.A

Q: 32? +2xy+ 3 yz + 4xz >0 frove ît full frame form ?? O D

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Q: Explain the process of parametrisation and also write 3 application ?

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Q: The equation 2. It eexact enot exact If it is not exact the integration toctoc is e exact -2 -2 -2/y

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Q: 9. Suppose that each of the bases of the hexagonal prism in Exercise 1 has an area of 12 cm2 and…

A: 9. The formula for the volume of a regular prism is given as follows:

Q: [2 1] Q2) Assume A = |1 3 L3 4] [2 4 6 4] ㅋ 4 and B = 13 show that (AB)' = B' A'

A: Solution: The objective is to show that the given relation

Q: 18. а, 3 3+ (-1)"

A: This question is related to series and sequence.

Q: Let FECT-2,21], foro. Prave that Max -2

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Q: = Y, = 1 + + x2 2 → 님s = 1 + +x? dz → Y, = 1 + 24 4 1 → Ys = 1 + 와 24 3

A: We have to find out

Q: Y hav density function f(y) = determine E(Y) and E(Y²) П (атв) ya-ı Г(а) ГСВ) (тузатво yo

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Q: Arg (zz) = 0, whenever :+ 0

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Q: 1- 21 29. G(t) 3+

A: We have to find derivative

Q: スーマ 2) Lur: メ+2 メ-1

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Q: Calculate x(t) when r(t) = (1t2, 3t) K(t)

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Q: 0.5(マ+1) 221 if x(z) = x (2) す! (そ-1)(マ-0.6)

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Q: 2.3 = 0.733 Spuarming on both sides 2 %3D 0.433 x(1- 82) 82=0.5372(1-9e) 8+0.53922 = 1.5372 E = 0.8

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Q: az əz az p?(r+1) Q2: Find if you know that : z = др + pre2p+3r+4t ar 'at t3

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Q: Let gcd(a, b) = d then which of the following is correct (i) (ii) b|d (iii) d|(ax – by) v[p a. All…

A: gcd(a,b) = d  So, by definition, d | a and, d | b  &, d | (ax - by) for all integers x & y…

Q: Find PBiomedicalltemale which is ceadl "tihe or that the engimeer ?s biomedical enaineer is female."…

A: The data ia given by   Machanical Electrical Biomedical Total Female 7 5 6 18 Male 2 3 7 12…

Q: let w- f(xy) and y in Poluy Cordeinate then a+yS %3D or or or 7.

A: Given that, w=fx, y And x and y is in polar form that is, x=rcosθy=rsinθ

Q: 1 Show that xn-m)}-2X(2). assu me. Zera 1c

A: As per the company's rule, we are supposed to solve one problem or three subparts. As there are two…

Q: Why do we get cov(y0, y0) instead of cov(yt, yt)

A: Given MA(3) process

Q: What is the equation of the following circle? 7)2 = 2

A:

Q: 3 1 (6) Consider the system z'= Ax + G, where A = and G(t) = (a) Decouple the system using the…

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Q: Does the limit t limit x"- 4y exist ? (2,Y) -) (0,0) Explain your answer

A: We need to check whether the limit limx,y→0,0x4-4y2x2+2y2 exist?

Q: 2. Sketch the graph of x² - 6x + 8y = 25 = 0 and show all necessary working. 3. If 12.5 12.50,…

A: Recall: Consider the parabolic equation                           y = ax-h2+k , where (h,k) is the…

Q: ) Sind dy if : Sincu, u= x

A: As per our guidelines we are suppose to solve only first question if the multiple questions are…

Q: Question 2 (1 point) The concavity of y = x³ − 2x + 1 at x = 1 is? A) Undefined B) Concave DOWN OC)…

A: We can determine the concavity at  x = 1 for the function  y = x3 - 2x + 1 by examining the second…

Q: 22. If (-1, 3, 5) x (0, a, 1) = (-2, 1, -1), determine a.

A: Given data is : -1, 3, 5×0, a, 1=-2, 1,-1 To determine the value of a.

Q: ASTR n = 2x+y 121 x,y € Prove that A is not open and not closed. Q

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Q: true or false ?

A: Given that,yiv+1ty'=g(t)The wronskian of the differential equation is calculated as shown below.

Q: / Find Hre dettivative ef Eg if

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Q: 1 3 For V Vy evaluate y' when y = 4. A) 4 B) -4 C) -2 D) 2

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Q: find ou gene val solunion for on3 equanion: Ysin 2x -7cos X =0

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Q: Ss he folle fadial fradion

A: Given: - The partial fraction is, 1x4(x+1) To express: - The solution of the given partial fraction.

Q: Proove: Yn- n-1 x

A: Given That : Let us assume that  y=xnlog(x) Prove that : yn=n!x using Leibnitz  theorem