3. Show that Z, -< 3(mod10) >

Q: If ADEF ARST, then we can conclude that ZS

A: Given, Triangle DEF is congurent to Triangle RST

Q: Show that if a|b then -a|b.

A:

Q: In(z,) – In(-V3 – 1) = -In(2) – 1

A: given the argument ∅ of the complex number -3-i as -5π6.and also the modulus of a complex number say…

Q: 1) Evaluate whether y, and y, are uncorrelated 2) Evaluate whether y, and y, are independent

A: Given, y1y2 = 111-1x1x2 So,  y1 = x1+x2y2 = x1-x2 And, Mean is 0 and Variance is 1 So, E(xi) =0…

Q: b) Show that z, + z, = z, + Z, . 2

A:

Q: b) Show that XNOT =

A:

Q: If (0,1) ~ (-1,1) and (-1,1) ~ R. Deduce that (0,1) ~R

A:

Q: Let a=⟨3,−5,5⟩ and b=⟨−1,5,2⟩ Find the component of b onto a

A:

Q: (i),if i = j + 1)',if i = B = A-, if i +j mif i + j

A: Here we have to find the Matrix A and B then find the product according to the question, now the…

Q: Show that =- 5)" /31 + 6. 1 = 2 ) /7! + () /9! – ... %3D | -- IN

A: We know that, from the Taylor's formula for power series expansion of sinx is given as…

Q: Suppose is dhe iavene faction of a diffarentiable šunc- tica fand let Glu) -1/r . E3) - 2 and /3) -…

A: G(x)=1f-1(x)f(3)=2 , f'(3)=1/9

Q: (a,b) is measurable.

A: (a,b) is an open interval.  Open intervals are measurable.

Q: and conversely.

A:

Q: Compute A - 31z and (313 )A, where A =

A: Given,       A=5-14-44-6-321

Q: If e = 23, then z 4x

A:

Q: 2. Show that cÃ=cA.

A:

Q: 4 Show that a + B = B +a for all a, BE C.

A: We can write alpha and Beta in general form of element of complex number.

Q: Show that z, + z, = =, + 2 .

A: We have to prove that z1+z2=z1+z2 Conjugation: Let z=x+iy be a complex number. Then, the complex…

Q: Prove: If = ¿ (where a, b, c, and d are nonzero), b then d*

A: Given:               ab=cd  (where a,b,c  and d are non zero.)

Q: 2 Find z. TVans form afthe f.llowing (a) {finwns

A: Calculate z-transform for n≥0: Zsinωn=∑n=0∞sinωnz-n               =12i∑n=0∞eiωn-e-iωnz-n…

Q: and they are independent

A: *Answer:

Q: х-у If z=x²sinh then дхду 4-

A: Find partial derivatives.

Q: Show that when |z +1| < 1,z² =1+£(n +1)(z+1)" n=1

A:

Q: Compute In(z) dr.

A:

Q: that prove

A: Given, D⊂R2 be a disk containing the origin and g:D→R is a  function given by…

Q: Show that [my] is o(ny)

A: In the question, it has to be xy instead of xy. So, we are solving the question by taking xy. To…

Q: Find the of im < Re z< £ un der w-

A: Substitute w=u+iv and z=x+iy in the transformation. w=1zu+iv=1x+iyu+iv=x-iyx+iy.1x-iyu+iv=x-iyx2+y2…

Q: Show that |Z × Z|=|N|

A: ℤ represents set of integers ℕ represents set of natural numbers  To show ℤ×ℤ=ℕ We know that|ℕ|=α0…

Q: Prove or disprove Arg)- Arg(z,) - Arg(z,)

A: The polar form of the complex number, z=x+iy , can be written as z=rcosθ+isinθ , where, r=x2+y2 and…

Q: (a, b) is measurable.

A: The answer is given as follows :

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

A:

Q: how did the y' and 2y' apearred out of no where in line 7

A:

Q: Show that: If |z| = 2, then: z* – z2 – 4| Re < 6 z + 6

A: A complex number z=x+iy are graphically represented as (x,y) on coordinate plane. The polar…

Q: Show that if x is in both W and W-, then x = 0.

A: Dot product of perpendicular vectors is 0.

Q: If A ⊂ B, can A and B be independent under any circumstances? Explain

A:

Q: If z=x2sinh 4 then 02z дхду

A: Explanation of the answer is as follows

Q: Evaluate S"2 in (cscr) Szye-2dzdydx

A: Suppose a multi variable function f(x,y,z) . To evaluate the integral notice the below result :

Q: If In a + In(z-7) = In(4x), then z = 11 %3D

A: Since you have posted more than one question we solved the first one for you. For the remaining…

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

A:

Q: 4 Evaluate f, S, 6xy² dydx

A:

Q: Show that a) A − ∅ = A. b) ∅ − A = ∅.

A:

Q: Show the Complete S lu fwn i 3 ナ *

A:

Q: Show that  1/3 Tn + 2/3Mn ) = S2n.

A: By definition, Tn=12∆xfx0+2fx1+....+2fxn-1+fxnMn=∆xfx1+fx2+.....+fxn-1+fxn…

Q: and y If a = , then x = ||

A:

Q: Create w = (1,3,5,..., 29). Give your R-code to subsequently remove all the components greater than…

A: R-code for the above problem is given as below: w= seq(from= 1, to= 29, by = 2)ww_remove &lt;-…

Q: es of the matr

A:

Q: Compute d(ū, ū), d(ū, w) and d(ū, w) where ū, ū and w are

A: Given: u¯=12-48, v¯=8-241 and w¯=2-418 To find: du¯, v¯, du¯, w¯ and dv¯, w¯ where d is distance…

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.