that H(m m). Show

Q: 4. Show that for all formulas p, ý, 0 € S(P), (a) (y = ) = ¬(e^ ¬b).

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Q: Show that E[X]= a +V and o = b 4 4 -

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Q: If u (E) =0, then E is measurable.

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Q: show that }I f,lm) Ck-m) 2.

A: For, ∑m=0kf1mf2k-m, substitute k-m=n or m=k-n: ∑m=0kf1mf2k-m=∑k-n=0kf1k-nf2k-k-n…

Q: Find the value of c such that enc = 7 c= In

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Q: B. Let H « G and K - G, and assume that HNK = {e}. Show that if x E H and y E K, then xy = yx

A: We can prove given result by definition of normal subgroup:

Q: Prove (t, to) = A(t)Þ(t, t,)

A: The variables of function t and to are independent variables.

Q: What are the ASSUMPTIONS for t?

A: A t-test can be used when the hypothesis is concerned with the population mean and the population…

Q: Find the d. c. of T from definition.

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Q: Let a e R" and let A = aaT. Show that xT Ax = (a" x)².

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Q: In SRSWOR show that E(y )= Y

A: ANSWER: For the given data,

Q: Find the d. c. of from definition.

A: Introduction :

Q: Show that, for all positive values of x and y, etty > e? ху

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Q: find the values of c that satisfy Rolle's Theorem

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Q: Notice that h is definec this.)

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Q: Let Xvuniform(0,8) then E(x-2)

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Q: Prove that TIN) F(a – p) O< Re

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Q: Let c E R and suppose that an → a. Show that can → ca.

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Q: Let a be a constant. Given that 3x In(ax)dr = e18 ( 36 -89 , find In a. 3

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Q: 4. If E(R) exists, show that |E(R)| < E(|R]).

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Q: Find the Re and Im parts of exp(z?)

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Q: Suppose T: R + P, has an action on a

A: Given, And

Q: Show that e = o (hª) as h → 0 for all values of q.

A: Like big O notation, there is also a little o notation. There is a difference between big O and…

Q: (b) Use part (a) to show that f (T) is either a transposition disjoint transpositions. or a product…

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Q: fla) compute T [ f 77E] t.

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Q: al HL b7 SAS C) NOt Co ng ruent

A: We will prove what relationship these two triangles have.

Q: nd C such that AC=E

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Q: prove that T= S.

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Q: Consider the following theorem.

A: Given, Where, And We have evaluate the integral,

Q: Which of these best describes T?

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Q: If g(a) = a°(exin²a+eoa²a), then gʻ(a) is: atcos.

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Q: R. find he Corficient of

A: We need to find coeffiient.

Q: Please asssit with value for ****,*****, ****** a

A: Hello! As you have posted more than 3 sub parts, we are answering the first 3 sub-parts.  In case…

Q: If m` E = 0, then E is measurable.

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Q: Use the diagram shown. В C 主 G 丰 Which is a needed step to prove that AABF EAEDG

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Q: Given the function z = In (2xy + e3x) - 5y, %3D az a. ax

A: Since, we have to find the partial derivatives ∂z∂x and ∂z∂y of functiongiven by z=ln…

Q: Show that if E,=1 a, diverges, then En=1 | |a,| diverges. %3D

A: Given, We want to prove that

Q: . Prove with the usual notations that: (b) A +V =- (c) A= SEŽ (a) EV = VE = A

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

Q: Show that (t) =| 2 3t is the fundar

A: Given that,            y'=A(t)y                          ...(1) where                A(t)=-1t1-6t23t

Q: Show that Oa = {a} if and only if a e Z(G).

A: For a∈G, Oa denote the orbit of 'a' under the conjuction action.The orbits under the conjucation…

Q: let fho=3*-1지 , t E=(12] 州 fefE)?

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Q: A. Does aboue given fanction Saitsfy the Fie F ze el

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Q: Evaluate t* In t dt

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Q: Show that (A − B)T = AT − BT .

A: We have to use the properties of subtraction of matrices and matrix transpose operation. In matrix…

Q: (b) let ( X, Ź M) be a mea Sure pace for A, BE E Show that MLAUB) = MCA) + M(B) MCANB)

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Q: Let A + 0 and ACB. Show that NB CNA.

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Q: Prove that (A')' = A for each A E Mmxn(F).

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Fundamentals of Trigonometric Identities

Trigonometric Identities are the equalities that involve trigonometry functions and hold for all the values of variables given in the equation.