Theorem 3.3 If a and b are real-valued constants, then (1) Mx+a(t) = E [e(x+a)] = eat . Mx(t). %3D

Q: 3. Find syz for ys = In(x + yz) – xcoth-1 log ().

A: Given : Let us consider the given value as,  ys=ln(x+yz)-xcoth-1logzy

Q: Let X x b(n,-) and E(3x) = E(3-5.x) find n.

A: Given X ~ B(n, 12) P(X=x)=Cxn px (1-p)n-x; x=0,1,....n…

Q: A) Find the Domain of the following functions 1) f(x) = Vx- 3+ V5 - x

A: Since you have posted multiple questions, we will solve only first question for you. To getremaining…

Q: a) Differentiate the function Q(p) = -2³√/p³ (²-P). b) Hence or otherwise, determine Q'(1).

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Q: Which of the following functions is of exponential order? {(t)= 7 V - 3 f(t) =Cos (3t – 1) O A.) О…

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Q: A function g has rule g(x) = log, (x-3) + 2. %3D а.

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Q: x -3 -2 -1 0 1 2 3 y 17 8 9 4 512 3 4 6 10

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Q: Derive the following function h) f(t) = e-2t³ + In (2-4t) -log(+³+5t)

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Q: Let a and b be positive real numbers and b ‡ 1. Find a + 26 given that the exponential function f(x)…

A: Given that points P and Q are the points through which the given function passes and we need to find…

Q: Let X b(n,-) and E(x) = E(2– 6x) find n.

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Q: 1. What are the eventually fixed points for A(x) = /x/? %3D

A: 1) what are the eventually fixed points for Ax=x solution it is known that fixed point of a function…

Q: Find dyldx for the following xVx² + 1 In y = ln (x + 1)3

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Q: Let X = n(µ,4) and Var(2x) = E(4–7x) find µ.

A: Given: X ~ N (μ,4) So, V [X] = 4 V [2X] = E [4 - 7X]

Q: Consider sets A and B with |A|=9| and |B|=19. How many functions f:A→B are there?

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Q: 3. Let C So(x) = exp{-(A²+² +DDF-D)}; logD)}, Dx where A, B, C, D are positive. a. Show that the…

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Q: 10. Match each function on the left to its graphe on the right: g(2) = 3 (4)" h(x) = 2" +3

A: To Match the functions on the left to the graph on the right.

Q: i) Determine the domain of the Following finctions @ f(x) = Sx²+7x+ 2 - Sx°+7x + 2 Oy - log (xt3)…

A: We have to find domain

Q: dy Q1) Find dx for : 1) y = log3(3x3 + x2)2 x In(sec- x)

A: I supposed to do only first question as our company guideline. Please repost other question as next…

Q: . Let f(x) = ka. Determine the constant a so that f(-1) = 10 and f(2) = 5 19 4

A: Given query is to find the constants of the function.

Q: D; Exponential Shifting ,Theorem 2. (D* + 4D+ 4) y- 'o4 e-*

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Q: Select all the lines that are needed to find the inverse of y = log, (x + 1) – 2 in the appropriate…

A: Given,y=log3(x+1)-2

Q: 2 Show that the following functions are harmonic in x and y a- e*cosy b- x- 3xy2 c- log x + y2

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Q: Find ds ldx if y=3) X(X+1)(x-2) (x² +1) (2x+3)

A: Note:-Since you asked multiple questions, according to our policy we can answer only first question…

Q: 1. Indicate whether the statement is true or false. a) All exponential functions have a vertical…

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Q: 5+ 26.) In (5- x) – In (5 + x) = -In 9

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