3 4 Evaluate [, S* 2dydx

Q: 9. Show that exp(iz) = exp(iz) if and only if z = nл (n = 0, ±1, 2, ...). (Compare

A: To prove that exp(iz)¯=exp(iz¯) if and only if z=nπn=0, ±1, ±2, . . ..

Q: Prove that neQ

A: Given ddxxn=nxn-1

Q: A population consists of 4 units with values 156, 149, 164 and 155 respectively. Draw all possible…

A: Given that Population size N = 4 Sample size n = 2 Then possible samples WOR are NCn = 4C2 = 6

Q: what happened to the 1(1-lambda) part in the first line

A: Given

Q: find all the Second order partial denvatives of the givén funcion fua、り) %3D

A: The given function is f(x,y)=exy

Q: Let S = {2x,1 – x, x² + x – 1,x + 1}. Then %3D

A: The correct answer is

Q: 1 Evaluate using Convolution theorem : L

A:

Q: 3 10. Show that R² span

A:

Q: prove that div A マ - Kr

A:

Q: х-у If z=x²sinh then дхду 4-

A: Find partial derivatives.

Q: If n=3, expand µ = a"x¡x¡

A:

Q: 4) State the Rank-Nullity Theorem.

A: To state: Rank - Nullity theorem.

Q: 3. Is this sentence consistent? “There is someone who loves exactly those people who do not love…

A:

Q: 2. and as= Determine ifb=-1 =-2 is a linear combination ofaL az

A: Follow the procedure given below.

Q: Prove %3D 11

A:

Q: find rank(AT) and nullity(A)

A: Rank of A = rank of A^T use this relation

Q: 81/ show that *if ve(Xジーズ) oif v=(

A:

Q: : Does fcz) = Continuous af cis

A: We have to solve given problem:

Q: Which term of the expansion of (z + 4) contains z Term number contains z4.

A: Given expression is: (x4+4)16

Q: Let X,X2, ,X, be a ranc *(X), = 0*(1– 0)1-x; %3D

A: from above distribution is binomial  f(x)θ=θx(1-θ)1-x  ;0<x<1 E(x)= nθvar(x)=nθ(1-θ)…

Q: Theorem: Proper ies of Transposes 3.) %3D

A: If we take transpose of transpose matrix, the matrix obtained is equal to the original matrix.…

Q: Find {2), f3), R4), and {5) if fis defined recursively by f0) = -1, A1) = 2, and {(+1) = Jtn}*s(n –…

A:

Q: 2.6 Using the Venn diagram to prove that (x1 + x2 + x3) • (x1 + x2 + x3) = x1 + x2

A: claim- use venn diagram to prove that  x1+x2+x3·x1+x2+x3=x1+x2 let x1  x2 x3

Q: Hew.b prove that CAXB)-Ais atways-Zero

A: Topic:- vector  algebra

Q: (b)* Show that Y' is closed.

A: Actually we shall show, closure of the set = the set. Then this set will be closed.

Q: find z trans foyms of folleing -an simwn ĭ

A:

Q: see the equation as attached here

A: Solution:Given    0<an≤bn and∑n=1∞an divergesTo prove:∑n=1∞bn diverges

Q: 3. Show that if A-1 exists, then eAT dr = A-1(eAt – I) = (eAt – I)A-1.

A:

Q: let X be 4-VV flon)= To Finel ECX) oedECXY)

A: f(x) = x/10 where xx = 1,2,3,4

Q: Let æ² + y² + z² = 3xyz, th = 3ryz, th

A: Given that, x2 + y2 + z2 = 3xyz We have to find (del z)/(del x).

Q: 4. Demonstrate that Re(iz) = -Im(z);

A:

Q: 1 ient of in al</z] <2 is

A:

Q: Verify S Tokes' Theorem To 2.

A: Introduction: We know that stoke's theorem is given by the formula, ∮CF.dr=∬s2∇×F·n.dσ

Q: . Show that sup{3 – 2 : n = 1,2, ...} = 3. %3D

A:

Q: iiion 125 correct to three

A: To find the approximation of (25)^1/3

Q: (8) Prove that if A and B are similar, then their transposes are also similar.

A:

Q: Show that A° = A°-0- and A-o = A- %3D

A:

Q: Create a proof for the fc

A: Given,           1.        ~R⊃~Q2.        ~R

Q: ,- ). Show that there a 3,4

A:

Q: Let S = {2x, 1 –- x, x2 + x- 1, x + 1}. Then S is a %3D

A: for a basis we need to check that a set must be linearly independent and spans the whole vector…

Q: Prove S^2 is simply connected.

A:

Q: Suppose PRo=62 this means that 38% of observations greater than 62 %3D 80 Select one: O True False

A: Given a statement about P80. We have to choose the statement is true or false.

Q: 81: Without evaluoting, show directly * = ? satiefy 2. %3D 2 -5

A:

Q: Prove: le* a. ſ csch x = In - |+c lex+1

A: As per Bartleby guidelines rule I am answering only first question as Both question is not subpart…

Q: HW.12 Describe in your own words, what is Limear tram furmatim" How the' concept of meant by n…

A: Linear Transformation:      A linear transformation of matrix is changes the original value to the…

Q: These are separate quesitons

A: a) At x = 2, f(2) lies in the fourth quadrant where y is negative. So f(2) is negativeb) From the…

Q: Prove that √2+√5 is irritational

A:

Q: A prove that Newboń's for ward formal?

A: Note: Since you are asking the prove for Newton's forward interpolation, but the given formula is…

Q: 5. Deduce from (4) that the set {2} 2-: n = 1, 2, 3, ... is closed in R.

A: Given set  S =2 ∪2-1n  :  n=1  2,  3 , . . .