il - Y = 2 π +4π-8 4π 256 36π x cm cm

Q: -2x Compute fo 1 do 1+cos² @de

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Q: Find the conjugate of – 3i ( 2 + 5i ).

A: Solution

Q: swer in polar form where r> 0 and

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Q: -2πT Compute fo 1 1+cos² @de.

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Q: Find the polar form of 1 + sqrt(3i)

A: Find the Polar form of complex number  Given z = 1 + √3i

Q: (a) Use the formula zk = Vr(co e+ 27tk cos +i sin 0+277K to find the indicated roots of the complex…

A: Given Z=-322(-1+i) Zk=rncosθ+2πkn+sinθ+2πkn, 0≤θ<2π The trigonometric form of the complex number…

Q: Express -7/3 + 7i in polar form and hence find (-7/3+7i) in polar form and standard form.

A: The given problem is to express the given complex expression in polar form and also evaluate the…

Q: Find the cube root of Z^3=8i lying in the first quadrant of the complex plan

A: Find the cube root of Z^3=8i lying in the first quadrant of the complex plane.  To find the cubic…

Q: 4Evaluate in polar fom; 1)' 3(-344i + (3+4i)(-2 3-4i

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Q: -following expression as a complex number in polar form = evi = + + 8-j6 J² magnitude 1 phase = 14°…

A: The complex numbers are given in the polar coordinates.The aim is to digitalize the given content.

Q: Find all solutions of the following equationsa a)z/1-z=1-5i   b) (2-i)z+8z^2=0.  c)z^4-16=0

A: a). z1-z = 1 - 5i⇒ z = (1-5i)(1-z)⇒ z = 1 - z - 5i + 5iz⇒ (2 - 5i)z = 1-5i⇒ z = 1-5i2-5i

Q: Suppose a 2nd order constant coeficient ODE has a characteristic equation with complex roots equal…

A: It is given that the 2nd order constant coeficient ODE has a characteristic equation with complex…

Q: Solve the complex number z = (2+3i)^3/2

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Q: Solve for z, and give your answer in the form a+bi. z^2 + (2i + 1)z = i

A: To solve for z in the given equation, we first rewrite it in the form of a quadratic equation:z^2 +…

Q: Question 2.3b. Let Z1 2 1+i Find the imaginary part of z1 - Z2. C -2 2 3 O -2 2 and 22 = 1; : 3

A: In this question , we will find the imaginary part of z1 - z2 .

Q: tan⁡ 5π/6

A: Recall the below identity.

Q: Rectangular

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Q: If z₁ = 13-101 and 22-15 +91, determine the following: 42₁-522 (Polar Form) COMPLETE THE MISSING THE…

A: We have z1=13-10i , z2=-15+9i Consider: 4z1-5z2=413-10i-5-15+9i=52-40i+75-45i=127-85i Hence,…

Q: Solve the following complex number: 1. 2+i/1-i = i(x+iy), x=? ; y=? 2. (2+i)(3-2i) = a+ib, a=?;…

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Q: Solve the complex variable V. 1. v^2 -4v = -1.2975 - 2.1i

A: Given: v2-4v=-1.2975-2.1i ----(1) Let Substitute v=a+bi in equation (1) a+bi2-4a+bi=-1.2975-2.1i…

Q: 40 + 70j + j100 tan 0.67 = 100 100 + j(40 + 70j) tan 0.67 40–237.8j 40 + 70j + j100 × (-3.078) = 100…

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Q: Find the roots of the given complex number 1. z^5 = 4i

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Q: Calculate (1 + 2i)'. Give your answer in a + bi form

A: To calculate 1+2i7. To give the answer in a+bi form.

Q: -4 sin 0 = Find cose jif 5 and 0 terminates in QIV.

A: Given By using the identity we get But terminates in fourth quadrant and so value of is…

Q: Write all of the solutions to z* =-2+2v3i in both polar form and a + bi form.

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Q: 1) What are the roots for y= x^2- 4x+13  A) (−4±6i)​/ 2 B) 4 ± 6i C) −4±6i d) −2 ± 3i e) 2 ± 3i…

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Q: GIVEN COMPLEX NUMBER 3. (3– 2i)?

A: Solution :-

Q: exp(-i(5pi/4)) Find the modulus and the real part

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Q: Express the result in trigonometry and rectangular form (1 + 2i)4 44. (1 – 2i)?

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Q: Find all complex numbers z satisfying the equation 2|=|* + =' -5+iV3 =0.

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