elser (i) E[X] (ii) E [(X – 1)21 (iii) E [3X – 1]

Q: A. If log(x + 2) + log(x + 1) = log(3x + 11) then x =

A: Since you have posted multiple question in this question which are not interlinked so i have solved…

Q: Evaluate (f o g)(x) or f[g(x)] f(x) = - 5x? – 7x – 4 g(x) = 3x – 2 (f o g)(x) = f[g(x)] =

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Q: [x²√1-x² dx

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Q: Consider the following function: 3x 10z - 17 1 - 10x -1 f(x) = 17 10 2 13 1 a) What is the highest…

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Q: A federal study showed that 63.8%of occupants involved in a fatal car crash wore seat belts. Ofthose…

A: Define the events: E : Event that the occupant was ejected from the vehicle A: Event that the…

Q: 3. Find [g f](x) for f(a) = 2x +5 g(2) = 2 – 3. and

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Q: determine L−1[F].

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Q: x2 3-x if x2 f (x) = Find a)f (1) b)f (3) c)f (2)

A: Consider the given function for value of x≥2. fx=x2 Consider the given function for the value of…

Q: if -2 <x< 0 f(x) dx where f(x) = 4 x2 if 0 < x< 2 -

A: This question is based on definite integral properties.

Q: Given g(z)- In(8z +z), the derivative g(z) is %3D O 8z + O 9z O 72z +1 7278+1 O 72r +1

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Q: 6.3 Let g: R → R be a real-valued function defined by g(x) = x² + 2x - 1. Let A = (-2,3], and B =…

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Q: In(x-1) 33 Differentiate with respect to x. 2x + 3

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Q: Find the domain of h(x) = 7x 3x-8 g (x). O D. and g(x) = X x4- - 81 3x - 15 Choose the correct…

A: Topic = Functions

Q: Use a computer algebra system to compute f(k)(x) for k = 1, 2, 3 for the following functions: (a)…

A: given,        a.  f(x) = cot(x2)b.  x3+1

Q: Find the (natural) domain of the function x + 1 2х — 1 f (x) = Select one: a. (-0, –1] U (1/2, ∞) b.…

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Q: Derive the expression  F1− F2 = (F1 − Fc)exp( f φ) − 1/exp( f φ) using the equation (F1− Fc/F2− Fc)=…

A: Given that, F1− FcF2− Fc= efφ To derive F1-F2=F1 − Fcefφ-1efφ. Consider, F1− FcF2− Fc= efφ Then,…

Q: 2. f(x) = 2|x-1 Parent: Transformations:

A: Given function is as below: f(x)=2|x-1|

Q: (6) L {(1+ te-t)a}.

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Q: The inverse of the function f(x) 1 -x + 8 is ƒ-1(x) = 10 O 10(x – 16) O 20(x – 8) 70(x – 8) О 50(х —…

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Q: For #'s 11 – 14 , h(x) = (ƒ og)(x) Let h(x)= (5x+1)* - (5x +1) and S(x) = x² – x, find g(x) Let h(x)…

A: Given: hx=fgx Q 13: hx=5x+12-5x+1 fx=x2-x Now, As per question hx=fgx=gx2-gx Or gx2-gx=5x+12-5x+1 On…

Q: (–1)" >) Given: In(1 + x) = if x < 1. n + 1 n=0 2. Evaluate f(2022) (0).

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Q: Find the constant c that makes g continuous on (-0;0) x-2x-8 g(x) = a+1 if x+2 if X=-2

A: Continuity of a function at a point x=c : If function is defined at x=c and limx→c fx=fc then we can…

Q: Let f(x) = and g(x) = 2х -1 Compute (f o g)(x) and determine the domain in x-2 interval notation.

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Q: 1+e* 1)y 1-e*

A: To find the inverse of the function.

Q: 2 2 √(x² + 2x + 3)³²(x + 1) dx¸ 0

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Q: uppose you have the population value 50 and 80 and that their corresponding z-scores respectively.…

A: Given Data: Population value=50 and 80   we also know the corresponding z-score

Q: dx Evaluate 2x 10 (b) o (c) 1/2 (d) 0 -

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Q: Find the inverse of f(x) = 15x – 10. a. f-1(x) = (x – 10)/15 b. f-1(x)…

A: Given,  f(x)=15x-10

Q: A2. b. Given the two generating functions f (x) = and g(x) = find the (1-x)2 (1-x)2 generating…

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Q: Evaluate f(x – 1)Vxª – 4x – 2dæ -

A: Given:      ∫x3-1x4-4x-23dx      =∫x3-1x4-4x-213dx   substitute u=x4-4x-2…

Q: 5 Evaluate [ (x + 2)(x² - 1) dx

A: Solution:Given   let      I=∫25(x+2)(x2-1)dxFormula:∫xndx=xn+1n+1+C