u + (1+ сos u) = 0

Q: (b) Show that i10 is real, even though i or 10i is not.

A:

Q: Use De Moivre's theorem to find the following: 4 i. [1+ v3i]" -3 ii. [-1+ v3 i]

A: Given that: i. [1+3i]4 ii. [-1+3i]-3

Q: 4. Let z = -4 + 3i and zw = -7 – 2i. By showing clear steps, find w in the form of a+bi.

A:

Q: (b) Show that i³i is real, even though i or 3i is not.

A:

Q: Show that [x, p;] = iħ.

A: note :  As per our company guidelines we are supposed to answer ?️only one question. Kindly repost…

Q: Assume that u - v = 2, ||u|| = 8, and ||v|| = 3. Calculate the value of (9u + v) · (u – 8v). %3D…

A: we multiply the given equation and then put the value of given data. u=8 v=3 u.v =2 note- According…

Q: If TeZx Such that x is a momber of 27+5x-3=03 and S={x Such that x i. member of 2i+71+233/3 that T…

A:

Q: Which numbers satisfy lal = a? Which satisfy lal = -a? What about I-al= a?

A:

Q: Find the principle root of 8/. (A) 8i = 3 +1 (C) V8i = 3 + 2/ (B) V8i = 23+1 (D) V8i = 2/3 +8i - %3D…

A:

Q: AN EX RANDONS OF TH NOTE 6 FORM THOUSE BA

A: Given data :  A deck of 52 cards . a) Probability the face card or spade card is drawn ,      There…

Q: =[12] and U- = -[] Then A2017U is equal to -1 Let A =

A:

Q: st Show all -. If s = 1+3i, t = 2 – 5i and u =– 2+ 5i then calculate your working. Write your answer…

A:

Q: 10 2. Use De Moivre's theorem to determine 1 in the form a + ib. 2

A:

Q: 86. Show that Z, = r(cose + isine) and Z2 = r[cos(-6) + isin(-6)] are conjugates. %3!

A: Given,

Q: 4. Let z = -4 + 3i and zw = -7– 2i. By showing clear steps, find w in the form of a+bi.

A:

Q: Determine all s ∈ R such that I4s= (I4)s

A: Given I4s=(I4)s We know I4=1 I4s=(1)s

Q: (b) Show that i0 is real, even though i or 6i is not.

A:

Q: Give algebraic proofs of properties (1)u + (-u) = 0 ,(2) (c + d)u = cu+ du

A: Let be a vector such that  Multiply  with -1. Adding the two results,  Thus,is the additive…

Q: Another Reciprocal Property Prove that if 0 < a < b,then 1 <-< -. b a

A: 0&lt;a&lt;b

Q: Find (root3 / 2 - 1/2i)30 by the de moiver's formula.

A:

Q: State Cayley-Hamilton theorem. Verify Cayley-Hamilton theorem [1 LA 13 1 -1 -1 1

A: Cayley–Hamilton theorem: This theorem states that every square matrix satisfies its own…

Q: Find all the numbers z such that e^2iz= 5i.

A: We are given : e2iz=5i Now Using  Euler's equation: ( eix=cos x+i sinx) ⇒e2iz=cos (2z) +i sin(2z)…

Q: (2) Find all the numbers z such that elz = 10i.

A: Consider the given. eiz=10i

Q: baphress -4i in esponenial form reio the Qunge OLOC2TI in

A:

Q: 2, z) = 5 and the surfac e at (1,2,3). Evaluate = reasons).

A:

Q: Find the all cosets 3z of 24z

A:

Q: Find the real numbers x and y if (x – iy) (3 + 5i) is the conjugate of –6 – 24i.

A:

Q: Write full computation with using theoremas. Task is on attached image

A:

Q: 4. Let z = -4 + 3i and zw = -7 - 2i. By showing clear steps, find w in the form of | | a+bi.

A:

Q: Find all the values of x in the interval [0,2pi], that satisfy the question.  10cos(x)+5sin(2x)=0

A: Given equation is Solve the given equation for x

Q: 9) r=3sin 0 eğrisi ile r=2- sin 0 eğrisinin arakesiti olan bölgenin alanını bulunuz.

A:

Q: Let z = -4 + 3i and zw = -7- 2i. By showing clear steps, find w in the form of a+bi.

A: Given  z=−4+3izw=−7−2i

Q: Let R have the Euclidean inner product. Let u = (-1, 1, 1) and v = (-15, 7, 6). If ||ku + v||= 13,…

A:

Q: Find proj,u and scal,u by inspection without using formulas.

A: Given the graph

Q: (7 + 3i)/(5 + 3i )=7/5Determine whether the statement is true or false. If the statement is false,…

A: Given:7+3i5+3i=75The statement is false.Let's make it correct by doing necessary changes.

Q: 1. Show that 0* = 0, I* = I. %3D

A: Matrix

Q: Use DeMoivre's Theorem to find the following. Write your answer in standard form. V2 cis- 20 O…

A: Given (√2cos(9π/20))5

Q: Find the modulus, Izl, and argument, 8, of the complex number. -1+i One charaes 4.6

A:

Q: k and Ĉ = к апd rs along the a ICorteeion

A:

Q: If z = 3 – 3i, express 5/z  in the form a + bi

A: The given value of z is z=3-3i.

Q: : Q.3\| Prove one of AU(AUB - AUB AN(A UB) = AUB a) b)

A: Set properties.

Q: Find the distance d between 21 1 = (-7- 6i) and %3D z2 = (-15 – 12i). %3D

A: z1=-7-6iz2=-15-12i We can say that the co-ordinates of two points are (-7,-6) &amp; (-15,-12).…

Q: Let yII + yI - 42y = 0 Find all values of k such that y = ekx

A:

Q: Use Demoivre's Theorem to find the fallowing- answer in Standard form. your 2 eis 20 Write

A: Given (√2 cis(9π/20))5 Using demoivre's theorem we can write Zn=rn cisntheta  =(√2)5 (cis5(9π/20))…

Q: Show that, for any complex number z, zz = |2|², z+z = 2Re(z) and Re(z) < |z|. Henc show that i. [21…

A:

Q: (2.) Find another representation in which a. r is negative and 0 <0 < 2n. b. ris positive and -2n <0…

A:

Q: Find the modulus and argument of (a) Z₁ = -√3+√ and (b) 2₂ = 4+ Y j Hence express Z₁ Z2 and 2₁/22 in…

A:

Q: (b) Show that ii is real, even though i or 5i is not.

A:

Q: (a)] Show that 1+(1+z)/2 csch z In • [(b)] Use part (a) to find all the values of csch (-2i).

A: Let:

Q: O Compute z = (1-i)"(13+i)

A: