Compute E[X + 2Ỹ].

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: Select all functions increasing for x>0. Of(2) = O f(x) = VE |f(x) = 0 O f(x) = x O f(x) = |x| Of(2)…

A:

Q: X p(x) (a) Compute E(X), E(X2), and V(X). E(X)= 18 E(X2)= 327.2 ✓ ft³ V(X)= 3.2 18 16 20 0.4 0.2 0.4…

A: The provided equation is: h(x)=X-0.009X2 From previous parts, it is known that E(X)=18E(X2)=327.2

Q: Use incremental search with Δx = 0.2 to bracket the smallest positive zero in f(x) = x3 - 10x2 + 5.

A:

Q: Evaluate the function f(x) = e* + In (x + 7) at c, where –7 < c < 6.

A: Given information : f(x)=ex+ln(x+7) 'c' lies between -7 and 6

Q: Find f(x) and g(x) such that h(x) = (f o g)(x). Let g(x) = 2x + 1. 3 h(x) = /2x+1 f(x) =|

A: topic - functions

Q: The number of units in Z31[x]

A: See the solution below.

Q: 4. Let f(x)= |x| and g(x) = x-3. (a) Determine the formulas for each of the related composite…

A: The composite function is defined as when the output of one function is used as the input of another…

Q: The function f(x) = x³ – x + 1 is not invertible. Select one: True False

A: A function is said to be invertible if it is one-one and onto. A function is said to be one-one if…

Q: Find functions g and h such that f(x) = g(h(x)). f(x) = e4x + 2 A. g(x) = 4x+2, h(x) = ex OB. g(x)=…

A:

Q: Let f(x) = 2log æ+¹ + x + 1, g(x) = 4x²log (32) + 7x log(x²) + 4x, and h(x) Select all that apply.…

A: note : As per our company guidelines we are supposed to answer ?️only first 3 sub-parts. Kindly…

Q: Graph the function h: Z→Z, defined by h(x)=| 3

A: Graph of the function

Q: If E[X] = 5 and Var(X) = 4, then E[(4 + 5X)²] = [] and Var(3+5X) 0

A: Given that :E(X)= 5 and Var( X )=4 .For a random variable X…

Q: se the graph of the function f(x) and the table of the invertible function k(x) to answer each…

A:

Q: The Wronskian of the function y₁ = 1, y2 = x and Y₂ = x is

A:

Q: G(n) = (d)o(d) is multiplicative function. If p is prime then G(p*), fork >1 equals dịn Select one:…

A:

Q: Let g(x) = x²-1x-20. Find x such that (x,10) is on the graph of g(x). A. x=6 OB. x=-5 or x = 6 OC.…

A: If you have any questions let me know in comment box thankyou for your question.

Q: Prove that logg(h1h2) = logg

A: To prove thatfor all  (where  is the multiplicative group of non-zero elements in the finite field…

Q: 14. Determine whether x is O(g(x)) for each of these func- tions g(x). a) g(x) = x c) g(x) = x+x³ e)…

A:

Q: Compute the linearisation l(x) of f(x) = √1+x3 at x=2 and use this to estimate f(2.05)

A: Given function is: fx=1+x3 At x0=2 So the linear approximation is: Lx≈fx0+f'x0x-x0…

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

A:

Q: Use the residue theorem to show log a dx log 2. 4+ x2 2

A: We have to show ∫0∞logx4+x2dx=π2log2 by residue theorem.

Q: Let f(x) = Va and g(x) = x² – 1. Find go f and determine its domain. |3D %3D

A: