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

Q: x+y uis = 1 n upi = no • prove that x-+ y-

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Q: Given z = -5+ 3i and z2 = 3 – 6i, express in the form a + bi %3D i. 4z1* – Z2 ii. Z2

A: Complex Cartesian form

Q: Prove that Eo 2i = 2n+1 – 1 - i3D0

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Q: 17. Given a = 4 – 4i and az = 4 + 3i, express %3D :11 in the form a + bi. a, az CLONE Dec 19

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Q: If Z= 3 – 2i and W = 4 – I, write  ZW in the form a + bi

A: Z=3-2i  &  W=4-i

Q: Express each of the following in the form a + bi. cosh(1 – i2)

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Q: Let z=1+i√3 Calculate z6 using DeMoivre's Theorem Simplify and write your answer in the form a+bi,…

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Q: If y = exp(-x²) show that -2xy and hence prove that, for n > 1, %3D y(n+1) + 2xy(") + 2ny("-1) = 0.…

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Q: 5. Use Taylor's theorem to write down an explicit formula for R, (1). Conclude that R, (1) + 0, and…

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Q: ) Compute the four 4th roots of −T + Ti where T=7

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Q: consider this formula. z= y over x if z= 4.0 and y=6.0  express your answer to the tenths place

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Q: Compute: 2i J25 -4i A a Answer: 1,

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Q: Solve the Auxiliary DE 75. и"" + u" — 2и 3D 0

A: Note: - “Since you have asked multiple question, we will solve the first question for you. If you…

Q: Evaluate the integral. 2 (3u - 5)(u + 2) du -1

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Q: у" + Зу" + Зу' +у%3D0

A: We have to solve the differential equations

Q: HW/ IF 2, = 1-3i, Zz=-2+si & Z3 = -3-4i determine as a+bi ,0 .0 z,-2.. 2;

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…

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: a) Show that fi (x) = x, f2(x) = cos 2x are orthogonal on

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Q: Solve the folowing equation on [0,2pi) 2sqrt2 +4cosx=0

A: In the given equation, the cosine function is the trigonometric function:   Rewrite the given…

Q: Find the d. c. of from definition.

A: Introduction :

Q: ez = -2

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Q: %3D Bi'

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Q: S eln (1-t) 1-t - dt ed to you in any form

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Q: Express each of the following in the form a + bi. 4. cosh(1 – i2)

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Q: Use the substitution x = et, to solve the following Cauchy-Euler equation: x²y// – 4xy/ + 4y = x³ In…

A: We will find out the required solution for given Cauchy Euler differential equation.

Q: 1 Assume that 1 < a < b_and equation is solvable. + x = Show that this * – b'

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Q: 6. Express in a + bi form: 2i(i + 3)

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Q: If Z1 = 4 + 5i and Z 2 = -1 + I,  express in the form a + bi  (i) Z1 + Z2   (ii) Z1 – Z2

A: Formula used  sum of two complex number is given by  (a1+b1i)+(a2+b2i)=(a1+a2)+i(b1+b2)

Q: Express in the form x + jy Q7/ (2) In(3 – j)

A: Solution:-

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: Show that the following cosh 3 (0,0) r(3,5) x² y?. (10xdx +6ydy)

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Q: Prove: If the characteristic equation of ay" + by' + cy = 0

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Q: he coefficient ao of Fou +2 t. く?

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Q: 28. IfI:zxzr = 0, ris a. positive b. negative с. zero d. impossible to determine from the…

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

Q: Evaluate the integral. 1 (u + 8)(u – 9) du 0,

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Q: Find a number z that satisfies: |z| - z = 2 + i

A: Complex number which satisfy |z|-z= 2+i

Q: Express −i+j in the form [a,b]

A: Simplification

Q: If z = a+bi for some real numbers a and b, show that |2| = |5|.

A: In the regular geometry on R3, we can compute the distance between                 x,y∈R2 and the…

Q: Solve the following equations in Zó with x expressed in both standard and non-standard names: xx…

A: This solution involves working modulo 6.

Q: The characteristic of Z5[x]/ is

A: Introduction: Suppose, Rx be a ring of polynomials and Px be any polynomial. If there exists an…

Q: Given the function z = In (2xy + e3x) - 5y, %3D az a. ax

A: Since, we have to find the partial derivatives ∂z∂x and ∂z∂y of functiongiven by z=ln…

Q: IRI- 2. <| sinz|< -e 2

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Q: Compute for the value of tanh-(1 – i) In 5 my + 2.13i In /2 + 2.13i Inv - 4.25i 2 In /2 + 2.13i

A: Let, tanh-11-i=z. Thus, solve for z:…

Q: Use z = a + bi to show that z + -z = 2a and z - -z = 2bi.

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Q: Let z = 3 + 9i and w = 2 – 7i . Find out the following in the x + iy form. 4. z-1 – w-1

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Q: Find The coefficient cof x ard X in The expasion of Ox°-)

A: We have to find the coefficient of x9 and x10 in the expansion of given series.   According to our…