Problem 2 var(X). Let -∞ < a < b <∞o and X 2 Uniform(a, b). Compute EX and

Q: to STUDENTS of 5さ WHAT FUNCTION =C(x) =

A: Given query is to find the average rate of change form the given function m

Q: x+ 6x +7 f(x) = {-x + 3 5 if x < -1 if -1<x<3 if x 2 3 f(2) = %3D f(-1) = S(-7) = S(3) =

A: The given step function is f(x)=x2+6x+7if x&lt;-1-x+3if -1≤x&lt;35if x≥3

Q: 8. If ƒ(x) = − x² + x, which expression represents ƒ (x) ? A. −−(x+h)²+(x+h)-(-x²+x) h B.…

A: As per our guidelines we can answer only 1 question so kindly repost the remaining questions…

Q: f (x) = 2x, g (x) = x + 4 and h (x) = 5 – x³ Evaluate the following: 6) (f + g) (2) 8) (f · h) (–1)…

A: Using rules of function.

Q: If f(x) In - In( + o). + e6x, find f (0).

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Q: 2. Given x(t), - 2st<-1 ato - x(t) = 2 - 2t -1st<1 otherwise a. Draw x(t) b. Find and draw x(-1- 2t)…

A: Solution is given below..

Q: Ex: 5 R T Ex: 5 R (ED) -¯¯ T (ED Т 4 -2x1x₂x3 x1 + 2x3 Ex: 5 Ex: 5

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Q: 3 • xy²-2y = x ²cos4x (x-2) • FY+ 2(x-2) ³

A: As per our guideline if multiple questions are posted we are supposed to answer only the first one.…

Q: 8. lim x 0 √x²+4-2 x2

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Q: Suppose that the functions s and t are defined for all real numbers x as follows. s(x)=2x+5 t(x)=3x…

A: Step 1: Given functions: s(x)=2x+5, t(x)=3xwe have to find the expressions: (s⋅t)(x), (s+t)(x), and…

Q: Suppose that an = 4" a₁x² + 2a₂x³ + 3a3x4 + 4a4x³. as 00 (i) f(n)x+2 n=0 00 (ii) Σ g(n)x¹+1 n=1 00…

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Q: x-3 1. f(x) = x2 + 1 g(x)= v1–x h(x) = v(x) =-9 w (x) = 4x +3 r(x): %3D x+7 Find the following and…

A: Given that:                      f(x)=x2+1g(x)=1-xh(x)=5xv(x)=4x2-9w(x)=4x+3r(x)=x-3x+7   NOTE: As…

Q: 4 – x lim X → 4 5- Vx² +9

A: We have to find the limit

Q: 4(x-3)-2(3x+1)<1

A: Given, 4(x-3)-2(3x+1)&lt;1 We will solve this inequality for x

Q: Let f(2) = x² +1 and g(z) = z² - 1 Then (fo f)(z) -X (fo g)(x) (go )(x) : x*4-x^2+1 x*4+x^2-1 Note:…

A: Consider the following functions: fx=x2+1gx=x2-1 ffx=x2+12+1=x4+2x2+1+1=x4+2x2+2…

Q: =) Skelch fx)= - 4 X S -1 X - 2 and ー1 X- 2

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Q: lim [x² + 3x – 5]

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Q: /x + 3 + 4 – x > - 3

A: Answer

Q: 2. Prove or give a counterexample to • If X ≤Y then Var (X) 0 . Var (X) ≤ Var(X)

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Q: Evaluate O √x(1+x²) dx 2 x1/2 1 2x¹/2 O O 2,2/3 3 O 3x²/3 2 + 2x¹/2 + C x1/2 + +C 2 2x5/2 5 5x5/2 -…

A: Note: Every options given by the question are incorrect. I am 100% sure about it.  The correct…

Q: are there any problems where (fog )(x)=(gof )(x)

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Q: 1. Let f(x) = 3x + 1, g(x) = 7 – 2x, and h(x) = x² – 4.x + 5. Find the following: a) (f + g)(2) b)…

A: 1. Given, f(x)=3x+1g(x)=7-2xh(x)=x2-4x+5

Q: 3 را (x) = 2x+7 cl if -5 ²x C1 X = 1 8 If 12X=3 7 11x-2 31 if x > 3 A) use 3-step formula B) is f…

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