Given that and y is the curve in the image -4 -3 6- 5 4- 3. 2- -1 -2- 2 3 4 5 ez e2 (1 i) 2/11/2010 - - - 201+0) 2πί Z w γ determine the complex number w and the orientation of y. Enter w, or NEI for "not enough information". W = Enter CLOCKWISE or COUNTERCLOCKWISE, or NEI for "not enough information". orientation =

Q: 4. -5 Vi + 1/3 5. - V8 - 2i/3 V3 - 10i 6. + 5i

A: Polar form of a complex number z=x+iy is  z=rcosθ+i sinθwherer=x2+y2andθ=tan-1yx

Q: a) y"- by"- 2y"+ 31 y' ty = -(y'ty) 6) gy" -15y" + 63y'- 27y= 0

A: This question is related to differential equation.

Q: SOLVE STEP BY STEP IN DIGITAL FORMAT 1. For the equation 3x² + 4xy = 16 eliminate the xy term by…

A: Let θ be the angle of rotation and (x, y) be the old coordinates , x',y' be the new coordinates ,…

Q: 2) find the radius and coordinate center for the equation 2x42y+10y-12х-20-0 3) prove that sin 2x…

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Q: Vz + i/3 V3 - 10i 5. 6. -V8 – 21/3 -V3 + 5i

A: The given problem is to evaluate and simplify the given complex expression and graph the following…

Q: In polar form the complex number z = 3/2 + 3v2i can be expressed as (cos 45 +i sin 45 ). Let w = z3…

A: The given complex number,   z=32+32 i

Q: 4 - i (a) 7 r = , 0 = (b) –87(4 + i/3) r = ,0 =

A: Given:  a) 4-i7   The standard form of complex number is  =47-i7  For a complex number a+bi, the…

Q: O Given the complex number z=x+yj, 27 If Arg (z+1) = and Arg (z – 1) = = 3 Determine z. Express your…

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Q: P represents the variable complex number z = x + iy. Show that if z+1/z+i is purely imaginary, the…

A: Given that        z= x +iy and (z+1)/(z-i) is purely imaginary

Q: (-1+√3i)* late Z in polar form, where Z = |Z| (cos(8) + i sin (0) ) solution including 2 decimal…

A: For a complex number  argument  and modulus Also note the following peroperty of complex number  for…

Q: 1- Represent the following complex numbers in polar coordinate Z= 2 + 5j Y= -3 3j D= -2 + 6j 2- Find…

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Q: Consider a triangle with vertices O, A and B, where O is the origin, OA-√3i+j and…

A: Consider a triangle with vertices O, A and B, where O is the origin,  and .(a) To show that triangle…

Q: Express the following complex number in its polar form.

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Q: Q 1. If R is a complex number given as follows R=e +5Z a) Express R in Rectangular, Polar and…

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Q: 9. Find the indicated roots. Sketch the roots in the complex plane: a) The fifth roots of 32 b) The…

A: According to Bartleby guidelines I can only answer the first question of the given problems

Q: sketch z2 = z1* on the axis given z 1 = -1.7+j1 complex number 21 shown below: 3 Imaginary -2 -1 0…

A: Given thatWe have to sketchWe know that

Q: The negative complex roots for the quartic equation x* +x² –1=0 are: 1-5 b. i + a. ti 2 c. ti 2 |1+…

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Q: With respect to the attached figure, height drawn from vertex B in triangle ABE has equation: a.…

A: a. 5x-3y+8=0b. 3x-5y-8=0c. x-5y+2=0d. 3x-5y+8=0e. 6x-y-16=0

Q: 5 The polar form of the complex number z = 1 + V3i is: (3 Points) 大 %3D z = 2 (cos T/3 + i sin t/3)…

A: The solution is as follows below :

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: ow áll the steps) . Write the complex number 2+ iv3 in the form of reit Check the following function…

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Q: Give the solutions of the complex equation –3z°(1 + i) = z(1 – i) in trigonometric for

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Q: Suppose that two lines Re((1+i)z+2i+3) = 0 and Re(2-bi)z+5) perpendicular. then b=. 0 are ||

A: We will convert the equation into cartesian form and then use condition for perpendicular lines

Q: 7.1 + 늘mi -4 + 19i 8. 2 + 5i

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

Q: 3. 2i, -2i 4. -5 Vz + i/3 5. V8 – 2i/3 V3 – 10i -V3 + 5i 6. -

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Q: 2Q: Express the complex number z = -2√√4 +11i in polar form and also represent it graphically. Hence…

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Q: The complex numbers Z₁ and Z₂ are defined as follows: Z₁ = 3 (cos(−2¹) + i sin(−2π)) 4 4 ²2 = 2…

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Q: √1-x² 1 - 1₁² 1²²² √3 - 2² Evaluate I := dy dx by converting to polar coordinates, and then compute…

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Q: 3. Express the following complex numbers in polar form( r< θ), find the modulus ‘r’ and argument θ”…

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Q: (a) Find in the form of re'", the six complex numbers which satisfy the equation z° +32+ 32( v3 )i =…

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Q: 9. (1+iv3), 10. 4 11. (-1)4. 12. (-1-i) 13. (-i). 14. (4+4i)4.

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Q: Exercise 3: Let c16 = 3cis (0.7) and c17 = 2cis(1.2) (recall that the angels are in radians) : a.)…

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Q: 4) z = (4 + j3)sinh(3+j)+cos(3-j2)

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Q: The complex numbers Z₁ and Z₂ are defined as follows: (cos(²T) + i sin(2)) Z₁ = ²₂ = 9 0 = 0-2π/3 a-…

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Q: z = 45+j3

A: By Bartleby policy I have to solve only first one as these are all unrelated problems.These are all…

Q: ez 16. Evaluate dz, where: (4z-1) cos(Tz) a) I is the circle |z| = 1/8 traversed once…

A: We need to evaluate the complex integral in the following three regions represented by Γ,