et x denote the sum of two distinct numbers selected PahdolHIly iTUm r the random variable x. P(x) 3. (Simplify your answer.) 4. (Simplify your answer.) (Simplify your answer.) (Simplify your answer.) 7. (Simplify your answer.) 8 (Simplify your answer.) 9. (Simplify your answer.)

Q: 2. If f(x) = xe, determine f(2018) (r). (A) (x - 2017) e (D) (x+2018)e* OA OBO OD OE (B) (x+2017) e…

A:

Q: How do we prove a theorem of the form ∀x(P(x)->Q(x))?

A: To prove the theorem of the form ∀x(P(x)→Q(x)), we apply mainly two steps: 1: We take the arbitrary…

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

A:

Q: :1 S* d(x³). 3

A:

Q: Let n be a positive integer. Define the function fn (2) by d fn (2) = n(2² + Find the value of f(-1…

A: Solution:Given: Let be a positive integer. the function is defined bywe have to find the value of

Q: Derive the 4-point forward formula for f"(x) by using values f(x), f(x+h), f(x+2h), and f(x+3h).…

A:

Q: The number of units in Z31[x]

A: See the solution below.

Q: Let X - N(u,0) so that P(X < 89) = 0.9 and P(X < 94) = 0.95. Find u and o? %3D

A: Given : Normal distribution with mean μ and standard deviation σ   We have been provided with 90th…

Q: see the question   as attached here :-

A:

Q: Let a be a fixed positive number, not equal to 1. Let f(x) = e-e*. %3D Find the real number x1 such…

A:

Q: If f(x) is a pdf, then f(x) can take any value in R (i.e., f(x) can be any real number). O True…

A: We have given that the statement about to the probability density function (pdf) f(x).

Q: -2 Suppose f(x) = f(x) dx Evaluate: A - In (2) B - 4 3 16 D In (2)

A: Solution... Answer is.  Option..(B)

Q: Find f(x) and g(x) such that h(x) = (f o g)(x). Let g(x) = 3x + 1. 1 h(x) = V3x + 1 f(x) =D

A:

Q: Suppose f and g are positive functions. Is the following true or false? Vf,g:N → R f(x) E O(g(x)) =…

A: Big-Θ notation: A function g(n) is in Θ(f(n)) if there exist constants c1, c2, and N such that…

Q: Find the linearization at x = a. f(x) = 1 a = 5 x3 (Express numbers in exact form. Use symbolic…

A:

Q: . f(x) = 2* DA. O(x²) DB. Ω(x) Dc. O(x²) f(x) = [x][x] (floor of x times ceiling of x) DA. O(x²) DB.…

A:

Q: | Aut (Z561)| =

A: We have to fin the cardinality of  Aut(Z561) that is  | Aut(Z561)|.   Result used (1)      ϕ(p×q×r)…

Q: M0 Sketching Graphs Functions In Exercises 9-12, sketch the of Quadratic M graph of each quadratic…

A: 12. (a) The graph for the function y=x2 is the parent curve for the given quadratic function. Plot…

Q: Let f(x) = In(5æ² - 4x + 9) f'(x) =

A:

Q: 3 2 1 Let u [-]--[-]-[] -3 V 2 and w= 1 0 -1 4 (a) Show that B = {u, v, w} is an orthogonal basis.

A: The given vectors are:  u=3-30, v=22-1, w=114. (a) To show: {u,v,w} is an orthogonal basis. (b) To…

Q: Let f(x) = 4x- 1, h(x)= -x+1. %D Find (f o h)(3). (f o h){3} =] %3D

A: Composite function  foh (x) is given by  foh(x) = f(h(x))

Q: f(x) = In (1+x³)

A:

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

A:

Q: 5. Find the inverse of f(x) = Vx+2.

A: f(x)=x+23To find: The inverse

Q: 3. Let f(x) = { ,x<2 ax + b, x22 Find a and b so that f (2) exists.

A: To find the value of a and b

Q: Find x such that g(x)=8

A:

Q: Ž ( – 1)"x" 1+x

A: Given the power series

Q: Compute f(5) (e) forthe function f(x) = x³.In(x+)

A: f(x)=x3.ln(x4)f(x)=4x3ln(x)Differentiatef'(x)=4x2+3x2ln(x)f'(x)=4x2+12x2ln(x)Differentiatef''(x)=8x+…