62 0

Q: E [X - E ( X)]2 is Select one: O a. V( X) O b. E ( X) O c.E ( X2) O d. S. D(X)

A:

Q: 26) Consider the function S1 if 0<x < 1, х ifx€ [1,2]. f (x) = Let F(x) = So f(t)dt for each a € [0,…

A:

Q: if 2E2, f(2)= 12₁² find @if 20 then f/2) not exists Oif 2=0 then find f(z)

A: Given that fz=z2, then find  1) If z≠0, then f'z not exits. 2) If z=0,then find f'z.

Q: :1 S* d(x³). 3

A:

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: Let f (t) = L1 {}. -3s Find f (7). 83 32

A:

Q: 1 If z = 2 V3 -i, then find ()*

A: Given complex number is: z=-1-3i2 Find the conjugate of complex number: z¯=-1+3i2 Find z¯4?

Q: X4 none of these X (c) f'(x) does not exist.

A: f''(x) = 0  at sharp corner f'(x) does not exist for f'(x) = 0 , tangent line is horizontal

Q: Set f(x) = In(9x - 8). Question 1 For k > 1, f (k) (1) =

A:

Q: Find a power series for each of the following, centered at a = 0 for parts (a) - (d) and centered at…

A: The function f(x)  is a rule that associates or fixes a number to the particular point x. Derivative…

Q: Let n be a positive integer. Define the function fn(z) by dn dzn Find the value of fn(-1+i).…

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

Q: 1 Expand f (z) = in the domain 4 < |z| < 12 (z-4)(z-12)'

A:

Q: (c) If each fn has a finite number of discontinuities, then f has a finite numberof discontinuities.

A: The given statement is: If each fn has finitely many discontinuities then f has finitely many…

Q: From algebraic form of function ez, prove that  |ez| = ex

A:

Q: Integrate the following function f(x)= 6x- + 2x – 5 dr

A:

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: P(x) = . Let and let = 10. Find P(9) x!

A: We have to find p(9)

Q: Suppose f(x) = f* (e True or false: The function f is strictly increasing. True False (612 - 1) dt…

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: s) Let f(x) 1 and g(x) 4 + 6. - х — 6 Then (fo g)(x) = (go f)(x) =

A:

Q: O Deltarentiatk with respect () Singe (X+1) (x-)

A:

Q: ! Given f (x) = {x + 2 if x > 10 lx – 7 if x < 10' D. ! determine each of the following. a.) f(14)…

A:

Q: Find fo go h. f(x) = x − 1, g(x) = √√√x, h(x) = x - 1

A: Given that: We have to find the value of .

Q: Let X N(10, 23). Then P( X< 10) =

A:

Q: Show that (an) is increasing

A:

Q: -3 and y = 2 0 Let x = ||x - y||₁ ||x - yl|oo = ||x - y||2₂ = 3. Compute

A: Given : x=-5-32    , y=330

Q: Let f(x)= x³+1. Then (fof)'(1)= O 20 O 36 O 3 O 9

A: Please refer to the image below

Q: Suppose f(x) and g(x) are two functions such that: • f(3)=1 • g(3)=1 • f(3)=5 • g'(3)=7 What is…

A: we know that uv' = u'v+v'u                   product chain rule of differentiation

Q: Let X~ N(1,4). What is E(X²)?

A: Here, it is given that X~N(1,4) that is X follows Normal distribution with mean μ=1 and variance…

Q: -> (6) 금 AxB) at t-1 at t=1 (1) A X 4P

A:

Q: Assuming that f(x) is of the form A · B², write an expression for f(x): f(x) = _]

A:

Q: Let f(x)= 2x ; OCxCI, Find E(3X+6) 3 4 8. 6.

A: In question, We have given pdf of X. Then we'll find the value of E(3X+6). The solution is below,

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+…