Question 2 Let q 2 1, f.g € L [a, b]. If p 21 such that +-1, then If+g*- Select one: O vla, b) L*[a, b] L'[a, b] none Lte[a, b]

Q: Let, f(z) = z-2z +2 (a) Show that, starting from the initial point ro 31 using Newton's method it…

A: Consider the given function.

Q: 1 Je* sin( t)dt 1+s* -st Prove that 2

A: We have to prove that:  ∫0∞ e-st sin(t) dt=11+s2

Q: Suppose that for each i such that 1 <i<N one has / f(1)dt = i Ji-1 What is / f(t)dt if N = 87?

A:

Q: E. Prove the following: 四- Iz.l 1.

A:

Q: D Question 2 Select all that apply: r y" + 3ry - 2y = In r 3rd order O linear Ononlinear O 2nd order…

A:

Q: Let n e N, s > 0, a > 1. Show that n! 1"e" dr sn+1 Inz dr 1 (a – 1)2

A:

Q: Lw(s) ~ 1 – Show that 1 is MTTF where

A:

Q: #1 same holds for all x, y E R. (First prove that a" ay at+y for all x,y E Q, prove that the at+y…

A: We know, The supremum of a subset of a partially ordered set is the least element in that is greater…

Q: az əz 1. ax' dy If z = In(e* + e"), show that %3D %3D

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: (a) Consider two MA(2) processes, one with e, = 0: = | and another with 0=-1 and 0; = 3. O Show that…

A:

Q: f: [o,17 s R. )m =l,2,3, fcx) = 3. otherwise Prove that f t R[O,1]

A: The given function is f: 0,1→Rwhere f(x)=1 if x=1n,n=1,2,3,...0 otherwise

Q: Question 8 Show using e, 8 methods that the functions f (x) = 1 and g (x) = sin r %3D 1+ x2 are…

A:

Q: 6. If y = In(r+ 1) In z then what is dy/dr? %3D

A:

Q: In r dy If y , then is cosh z

A: Straightway proceed to differentiate both sides,

Q: itegal 10. Find he Vadue anf P which the ntegral Caverges, absolutely Condlitionally". r Sin olu

A: Here we that sin function has modules less or equal 1.

Q: 6 Chapter 52- x0 Module 10 Re x O Class Textboc x 0 Comma Exerc x B Assignment 3 x B Chapter 5.1 xD…

A: We have to answer question on simple interest.

Q: ldéntities will prove useful in achie Exercise 12. Show that E, (T: – ¤) = 0 %3D | E (*: – µ)² = E…

A:

Q: 6. Given: AUVW = AXYZ Prove: UV || XY .Y W

A:

Q: S 1.Prove that L (coswt): %| s2 +w2

A:

Q: 1 Find h' (u). Show your work. Let h(u) = 4u³ – - u?

A:

Q: △XYZ is given with X(2, 0), Y(0, −2), and Z(−1, 1).  Which of the following can be used to prove…

A: Given △XYZ is given with X(2, 0), Y(0, −2), and Z(−1, 1)

Q: 10.Show that Φ(t) = Ψ(t)Ψ−1(t0), where Φ(t) and Ψ(t) are as defined in this section.

A:

Q: (Section 17.3, 17.5) Consider F(a, y) = (e-" cos(y))i + (e-" sin(y))} (a) Show that F is…

A: Here is the solution of the given problem. Line integral:  Conservative Vector Field:

Q: Question 9 Show that (a) f (x) = ,x E (0, ∞) and (b) h (r) = e" ,x € R, uniformly continuous on R.…

A:

Q: Stuck on this problem.

A: Determine the radius

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

A:

Q: 2. By SSS Similarity Theorem A A МА If RP 몸 Then ARCP- A R 00

A:

Q: tind 07 ard et by impu enfinm Hat the results obtaine those predicted by the for e Leerem for…

A: Given,    exycosyz-eyzsinxz+z=0

Q: Suppose, X|0~ Binom(m.0)and e- Beta(a,B), then Var (Y) is equals to, maß

A:

Q: If fufe.- fuave diffa Veubable at'xo eI fuave difle Veubable at Xo eI Pi:I R,ists-n prove O…

A:

Q: If f(x, y, z) = In(x7 + yº + z®) + (x° + yº + z®), then find fr, fy and fz at (1, 1, 1).

A: →fx=∂f∂x, During derivative of ∂f∂x, consider 'y' and 'z' as a constant→fy=∂f∂y, During derivative…

Q: 14 Jlgull s(e)= f(2) =Re z is continuous ylgn O Ihs O

A:

Q: Evaluate Sm e" dæ. • 2 does not exist (diverges)

A:

Q: ... M Gmail O Maps YouTube Question 2 If f (r, y) = Va + y³ In(x² +y²)e*in(zy+y°) +x² + 10y³ , then…

A:

Q: by

A:

Q: 1+ax' Let f(x) = cos(x) In | be integrable on If | f(x)dx = 0 where a and b are real 1+ bx a+b…

A:

Q: 3. ncnt) use PMI to prove that E

A:

Q: It is known that mortality follows De Moivre's law. If Var (T(50)) = 192 , calculate w Instruction:…

A: According to De Moivre's law, if sx=1-xw then Tx follows uniform distribution in the interval 0,w-x.…

Q: In GL(2, Z,,). det

A:

Q: ZH E LI and HI 1 GJ. Complete the proof that AGIJ S AGHJ.

A: Here we use two concepts  1) sides opposite to equal angles of a.         triangle are equal. 2)…

Q: Let X and X, independence r.v. have same moment generating function (-) where tsa, let Y=aX+bX, ,…

A:

Q: QUESTION 1 Compute [[ ev** where Q is bounded by y = V100-x-z AP 2++ and y = 0.

A:

Q: Theorem 2.10 Suppose X, Y, Xn are integrable. (i) If X = a a.s., then E(X N) = a, a.s. (ii)…

A: Given X, Y, Xn are integrable

Q: Let A E Mn.n: Show that AT A and AAT are similar.

A:

Q: 1 (aw C. Ifw=f(x.y) and x=1. coso, y=. sino. Prove that

A:

Q: %3D in Fin d E(S an d Var(s)

A:

Q: 3. Gien that F cxy) = s Can servative find putantial -> functin fo Ě a

A:

Q: 1 +y = zy" dy dr

A:

Q: Suppose that the true model is () E+ and that it satishes MR1-MR6, but you estimate by OLS (II) W=…

A: From the given information, I yi=γxi+ei The OLS estimator of γ is, γ^=∑i=1Nxiyi∑i=1Nxi2 II…