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

Q: Convert the polar ordered pair in part (a) to its Cartesian form. Convert the Cartesian ordered pair…

A: Topic- Complex number

Q: Sketch the curve in the complex plane given by | Z-3| = | 7 + 3i } %3D i, z'+ 2?= 2. %3D

A:

Q: Euler’s identity can be used to write any complex number in polar complex form,re^iθ, (yes like…

A: The  rectangular  form of a complex number is given by z=x+iy The polar form of a complex number…

Q: 4) Re-express the following complex number in polar form, and plot in the complex plane: z = 17 -…

A: Sol:- To convert Cartesian coordinates x, y to Polar coordinates r, θ apply:r=x2+y2…

Q: Write the complex number in polar form such that 0 less than or equal to deta less than 360 degrees

A:

Q: 2) 2 = -4 + 4i

A:

Q: graph each points on the complex plane

A:

Q: (d) Find 3 distinct complex numbers {zo, 2₁, 2₂} for which z³ = 1.

A:

Q: convert the point (9-7i) to polar in the c++ Language

A: Convert complex number, z, from Cartesian form to Polar form, as follows:

Q: (as + isin I) 1.) Z = 12 %3D

A:

Q: Find the extreme values of the function on the given interval:

A: In this question, we have to find the derivative of a function in the first part and in the second…

Q: bz+ bz=c, b0, be a line in the complex plane, w the reflection of the point through the line then

A:

Q: 5) Given the complex number z = -3+ 3i, a) Write z in polar form. b) Find z2 in polar form.

A:

Q: ne complex number 3 - 2i in polar form, r(cos(0) + i sin (0)), with r> 0,0 ≤ 0 ≤ 2T. elp (numbers)

A:

Q: (15) For the complex number z = ti find z2 by a) directly multiplying in the rectangular form given,…

A:

Q: What is the product (4/3 – 4i)( /2 + V2i) in polar form? In what quadrant of the complex plane does…

A: First multiply both the factors and then find magnitude and the angle to convert it in the polar…

Q: Represent in polar form and graph in the complex plane as 1.1+i 2. -4 + 4i

A: Polar form of the complex number

Q: Two complex numbers are given: Z1 = 5 253.13 , z2= 5 – j a) Find the rectangular form of z, and the…

A:

Q: Convert the complex number 9/3 9 i to polar form. Give exact answers for r and 0 (no decimals).

A:

Q: There are many ways to express an ordered pair using polar coordinates. What is is not an accurate…

A:

Q: Determine the three cubic roots of the complex number (−10 + j6)5 in both polar and Cartesian forms,…

A: given a complex number  say w=-10+6j5 now ,  -102+62=100+36                    =136…

Q: Find the product of the given complex numbers in polar form. 3 (cos +i sin 푸).4 (cos (-표) + isin…

A:

Q: 9- Give five examples about application of polar coordinates in real life

A: Polar coordinates have various applications namely in  Animation  Computer graphics Civil…

Q: Which is the correct rule to use when converting the complex number z = a + bi to polar coordinates?…

A: The solution is shown in step-2

Q: Evaluate (-1 + i)¹/3. Express all of the roots in polar form and plot them on an Argand Plane.

A: Given (-1+i)1/3

Q: (b) Write equations that express the Cartesian coordinates$(x, y)$ of a point in terms of the polar…

A: Given any x, y point. We have to write x, y into polar coordinates.