let Z be aranelom vanimble with Pelf (Z~Nco) Show that , the psf of Z² (Y=Z) is. chi-square

Q: Prove that  that the y=0 is the horiz.asymp.  and x=-1 and x=1 are vert.asymp, of y=coth-1x through…

A: As given that for the function y=coth-1x has verical asymptotes at x=-1 and x=1 and has horizontal…

Q: Let P = (0,0, 0), Q = (1, –1, –2), R = (2,1, 1). Find the area of the triangle PQR. area = Let T =…

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Q: Suppose the conjugate z is equal to the reciprocal 1/ z. What are all possible z's?

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Q: ON REDMI Y3 AL CAMERA - veifhy coucly's is Theorem for the function C) 3 Cosh(z+2 where C is the…

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Q: Show that (u×v)· w = u ·(v×w).

A: As we know that, Multiplication is an Associative Property, i.e. (a x b).c=a.(b x c) and Sometimes…

Q: 1 2 Let vị = V2 = 0 |, and w = 1 be vectors in R- 3 1 (a) Is w in {v1, V2}? (b) Is w in Span{v1,v2}?…

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Q: distance Q.2A) ((q,x+ 92y+ 93z = M, ,41x + 92y+932 = M2)) |M, – M2| Prove the between to planes…

A: Let the point (x1,y1,z1) is on plane 1 and the point (x2,y2,z2) is on plane 2. As we already know…

Q: Find the value of z in rhombus FGHI. z+48° 5z H 3D = Z F.

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Q: 4. Let C be the unit circle in the xy-plane, and S be the boundary of the square with side 1,…

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Q: Consider the functi on f(z) = 2 -a with lal >1 %3D 1- az Show that if 121 >1, the lf(Z)< 1

A: Given the function f(z)=z-a1-a¯z with |a|&gt;1.To prove that if |z|&gt;1, then |f(z)|&lt;1

Q: a) Prove the one point rule - 3-version: (3x)(x = t ^ A) = A[x = t] if x is not free in t. b) Prove…

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Q: Given preimage AQLU. T(X, y)x-4, y-3) to find AQ'L'U'

A: We have to find the coordinates of new triangle

Q: Determine the values of y such that D(9,3,-2), E(3,4,7) and F(21,y,-20) are collinear

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Q: Prove that i 224 s 2xP for xzO, y zo i and 1 t L-l with p>

A: Given that x,y≥0. And 1p+1q=1 with p&gt;1. Consider gx=xpp+1q-x. Then g'x=xp-1-1 and g'x&lt;0 when…

Q: Give an example of (v1, v2, v3) and (w1, w2, w3) independent se- quences in the R“ such that…

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Q: For two points (x1, y1) and  (x2, y2) such that xi > 0, yi > 0 for i = 1, 2, we say  (x2,…

A: There are about 4 functions provided.To show:They are Schur convex or not.Concept used:i) Any…

Q: Find the area of JEN if the coodrinates of the vertices are J(0,3) E(6,0), and N(8,3)

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Q: A leasing firm claims that the mean number of miles driven annually, u, in its leased cars is less…

A: (b) The type of test statistic to use is z-test

Q: Show that if (x.g) m. is re<rz, it is 8lx,r) C Blx,g) for x Ex. U.

A: Metric or Distance: A metric or distance is a function ρ :X×X→ℝ such that ρx, y represents the…

Q: Let r = xi + yj + zk and r = |rl. If F = find div(F). (Enter your answer in terms of r and p.) p'…

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Q: 6) Use Classteal Version step by step tnduding flue S finds of Eo Caiy, 2) thou the shetch of the…

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Q: pairwise co-prime and m = mymy m. Then f(1) = 0 (m) has a soluti if each of the congruences f(x) = 0…

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Q: Consider ỹ,,y2, ÿ,ER³ and that y,+y,+y;=0. For Î=span{ ỹ,,y} and Y=span{ỹ2, y, show that Î=Ỹ.

A: Given  that  y→1, y→2, y→3∈ℝ5 and that                   y→1+ y→2+ y→3=0→. and           Y^=spany→1,…

Q: Prove that the dual of l' is isometric to 10⁰.

A: Accounting to the given data, prove the given statement: