Find E if E = x• P(x)

Q: Let f(x) = 2. Give a relationship between d and e such that for every e > 0, 0 < x – 3 < d implies…

A:

Q: The function f(x) = log, x is the function with base

A: We have to fill in the blanks: The function fx=logbx is the _________ function with base _______. We…

Q: Then the value of E(g(X)) is:

A: The E(g(X)) can be calculated as E(g(X)) = E(4 X + 3) = 4.E(Xhh) + 3

Q: Evaluate in terms of gamma function: e- ydy

A:

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

A:

Q: Alog f(x) = log[1+ Af(x), f(x)

A: We have to solve given problem:

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

A:

Q: Find a formula for f(") (x) if f(x) = e-10: fln)(z) =[]

A:

Q: Find the indefinite intergral of 1/(e^x -1)

A: To Find the indefinite intergral of 1/(e^x -1)

Q: x is a function of g. find dx/dg if given glnx = tanx2 - eg e = exponential

A: Given the function of g :

Q: Find g' (e) if g(x) = In(2x + e³).

A:

Q: x • e e- for x <x < ∞ f(x) elsewhere

A:

Q: The derivative of the function f(x) =x ln x is: a. f'(x) = In x +1 b. f'(x) = ln x +. c. f"(x)= In x…

A:

Q: Is f(x)=ln(x) even, odd, both, or neither?

A: Suppose fx is any function. Then, The function fx is said to be even if f-x=fx. The function fx is…

Q: f(x + h) – f(x) h\1/h log 1 + If f(x) log, x, show that = h + 0. h

A: fx=logax

Q: Differentiate each below e +e» et Рe-x

A:

Q: Graph the function f(x) = u₂(x) ln x + u5(x) (ln(10 − x) - ln x)

A: We have to draw the graph of given function.

Q: Consider the function g defined by 1 g(x, y) = cos (Tx)+ log3 (x - y) Do as indicated. 1. Determine

A:

Q: Let f be the exponential function defined by (2+2) f(2) = () and determine the folloving information…

A:

Q: Let f(x,0) e*(1 – 0)"¯, then the exponential form for this pdf can be written as expin)-x innti - 6)…

A: The given statement is false. Therefore the second option is correct.

Q: Find E[X-E[X]]]

A:

Q: . Find the exact values of the six circeular functions of e.

A: Six circular functions of 'θ' sinθ,cosθ,tanθ,cscθ,secθ and cotθ According to the question, First…

Q: and the range is The exponential function f with base b is defined by f(x) = , b>0 and b 1. Using…

A:

Q: F(s) = ln In s

A: We know ddx(ln x)=1x   Chain Rule : ddxln f(x)=1f(x)·f'(x)

Q: If f(x) = e(n =)*) and g(x) = (In x)², then g(f (x)) is equal to.

A:

Q: Find a formula for f n  x if fx = ln (x-1)

A: Given, f(x)=ln(x-1) differentiate with respect to x, f'(x)=1x-1 Again differentiate with respect to…

Q: Graph the function f(x) = u₂(x) ln x + u₁(x) (ln(10 − x) - ln x)

A:

Q: At what value(s) of x does e^(-x2) =x2 - x + 1?

A: To determine the values of x at which,

Q: Let h be a function that has second derivative (x+ 1) (x – 2) (x + 4)e5 h"(x) Is x=2 the…

A:

Q: Find the domain of the function. g(x) = ln(x - 1)

A: A function is a relation between an input variable and an output variable wherein each input…

Q: Find a formula for f(n)(x) if f(x) = e' -3x fln)(x):

A:

Q: - Show that f(x)= E ƒ(x), where E is a constant and f(x)= e²x + e2x

A:

Q: X-1 e e-1 +X xp- e*+x°

A:

Q: If ɛ ER and the function f(x) = ex – 1+ x² is increasing x E R, show also that e >

A: Since f is increasing hence f'(x) &gt;0 for all x

Q: (x) = ln(1 + e8x), find f '(0).

A: Given,          fx=ln1+e8x

Q: The exponential function f with base b is defined by f(x) =_______ , b &gt; 0 and b ≠ 1. Using…

A: Solution is below

Q: Find f'(x) of each of the following functions. (e) f(x)=e* In(x')

A:

Q: |Aut (L/K) = |Aut(L)|–|Aut(K)|. x)

A: The given statement is: Aut LK=Aut L-Aut K Let L=ℚ2 and K=ℚ. Note that, ℚ2=a+b2 |a,b∈ℚ

Q: For a general L(x), demonstrate that G = 1 - 2B. What range of values does the Gini index occupy?

A: For a general Lx, the Gini index G is, G=AA+B    ⋯⋯(1) Also, from the above tabulation, G=2A From…

Q: 1. Find E(X) and Var(X) for the following: if x 1.

A: Given : fX(x)=0,if x&lt;0,1/(2x),if 0≤x≤1,0,if x&gt;0We want to find,E(X)=?Var(X)=?

Q: Prove that d-function is the distribution derivative of the Heaviside function { if x > 0, if x < 0.…

A:

Q: let the pdf f(x) is even function then E(x) is?

A: We know, F(x) is even, Than, F(x) =F(-x) From definition, For even function ( if minimum = - n, than…

Q: In x |find f"(e). If f(x)

A:

Q: Then the value of E(g(X)) is: is:

A: here given pdf of x  here g(x) = 5X

Q: Is there any value of x that satisfies the equation below? In(x) = -e"

A: For x =0.27....equation is satisfying....I have proof it using graph...for detail go through the…

Q: Let X1 be exponential with mean 4 and X2 be exponential with mean 6. Assume X1 and X2 are…

A:

Q: if f(x) = In e^(3x), then f'(x) at x = -1 is O 1/e O 3/e Оз

A:

Q: if f(x) = e 2x   find a formula for f n   x

A: Given: The function f(x) = e2x   To determine: The formula for f n(x)

Q: Let f(x) = x ln x. Find the general formula for f ^(n) (x).

A: Explanation of the answer is as follows

Q: Find f(t) if L(f) = 6(1-e^(-πs))/(s^2+9)

A: The Laplace transform of the function f(t) is represented as F(s) or L[f(t)], it is defined as…