of c, for whi + 8 in [2, 4]

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: 0 2 4 6 2 3 4 5 If A = Compute C1(A). 2589 3 2 1 7

A:

Q: Show that: If |z| = 1, then: z' + 4z + 5 z2 + 5z + 6

A: Given: z=1 Then show that: z3+4z+5z2+5z+6≤5

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: Evaluate fc 713 where C : |z| = 2. Ans. fc z+1)3 Ti ( – 4). 1 z² (z+1)³

A:

Q: Let 21 = 2+ j3 and z 4 j5. Evaluate

A:

Q: 2. Let, a, = 3, az = 4 and for n2 3, a, = 2a,-1 + an-2 + 5, express a, in terms of n.

A: Introduction: The disparities between every two successive terms in an arithmetic progression (AP)…

Q: Prove by contradiction that 4* is not 0(2*).

A:

Q: If In z + In(x – 6) = In(5x), then r

A:

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

A: Given,       A=5-14-44-6-321

Q: Show that 3n^ 2+8nlogn is big-Oh (n ^2 )

A:

Q: 7 of 17 If LAO} =F(s), then L{f{4t)}= %3D

A: Here we solve this from the definition of Laplace transformation.MKMJCDSCDS

Q: Prove that S4 = ((1 2 3 4) , (1 2 4 3) ). %3D

A: As you asked for question number 8 , and hence here it is.

Q: (b) Show that o = 2[Rx(0) - Rxx(0)] XX

A:

Q: 3. cooficiant af z" in the apransion 3)11

A: From the Binomial Expansion

Q: Prove that in Q(/-5) we have (3,1+ 2v-5)(3, 1 – 2-5) = (3).

A: To show the equality, first we take an element of the product and show that it is in (3) and then we…

Q: Prove that in Q(V-5) we have (3,1+ 2/-5)(3, 1 – 2v-5) = (3).

A:

Q: For all intgars a, if 615a, thenbla

A:

Q: х-у If z=x²sinh then дхду 4-

A: Find partial derivatives.

Q: Show that /2, /3, 5 cannot be the terms of a single A.P.

A:

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

A:

Q: 28. Compute Ak where A = [4.-3] 2 - 3.

A:

Q: *prove that for . P+2+3+... +n° = 2 n=!,2,3,

A:

Q: If In x + In(x – 3) = In(7x), then a =

A:

Q: What is the coefficient of z12 in (6-12z)12 O a. P(12,6)* -612 O b. C(12,0)* -(1212) O . 1212 O d.…

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: Let D = {2, 4, 8) "For every z D, 2x¹ €

A: Given that set D = { 2, 4, 8}  And statement is  " For every x in D,   2| x". We need to check that…

Q: iiion 125 correct to three

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

Q: Evaluate the integral

A: Consider the given integral value. Substitute t = 3 sec u. Differentiate t w.r.t u and calculate dt.…

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: Use Lemma 5.4.3 to find RT if RS 6 and VR = 4.

A:

Q: Let a = (1, 3, 8) and b = (7, 3, 4). Compute 5a + 7b

A:

Q: of the apples is equal to 3 of the oranges. If there are 12 mor 5 In a fruit stall, - - annles than…

A: Fraction:  A small part of something.  In other words, numerical value that is not a whole number A…

Q: 6. Show directly that inf(B) = 1 for B {N =: 4+1} -

A: The given expression is,  B = {1+1/n : n belong to N}

Q: Show that For all z € C, with z + 0, then: |z|?z=1 = z

A:

Q: Let, aj = 3 and for n > 2, an = 2an-1 +1, express a, in terms of n.

A: As per our guidelines, we are supposed to solve only first question. Kindly repost other question as…

Q: Show that r(r+3) Hence, Show that 1 +. 2.5 1 1-4 3-6 n(n+3) n+3 n+2 n+1

A: Using series

Q: Prove the soquen enat 2efin ea For n EIN Conv e

A: Introduction: When each term of a sequence is greater than its previous term, the sequence is…

Q: Let, a1 = 1, az = 2, b1 = 0, b2 = 1, for n 2 3, 2ап-1 + bn-1 for n 22 b, = bn–1+ an-1 an express an…

A:

Q: Show that: If |z| = 1, then: |z3 + 4z + 5 < 5 z + 5z + 6

A: Given: z=1 Then show that z3+4z+5z2+5z+6≤5

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: compute the following in Z12: [9]+[11], [5]-[8], and [7][9].

A: Consider the provided question, We have to find the following in z12:9+11, 5-8, and 79 Find,…

Q: i prov

A: Given, -a+b It is proved using axioms of real numbers.

Q: 8 Show that 1+2++ In S 1|+ |r2|++|rn| for any numbers r1, 22, ....

A: To show,    x1+x2+.....+xn≤x1+x2+.....xn   for any numbers  x1, x2,....., xn . Which is generalized…

Q: Prove that √2+√5 is irritational

A:

Q: Prove by contradiction that 4" is not 0(2").

A:

Q: Show that 1 (N, <) is well-ordered. 1 2 (Z, <) is not well-ordered. 3 (R, <) is not well-ordered.

A: Please send questions as different questions. We cannot do more than 3 at a time.   A relation ≤ on…