Complex numbers - math word problems

The modulus
Find the modulus of the complex number 2 + 5i
Let z1=x1+y1i
Let z1=x1+y1i and z2=x2+y2i Find: a = Im (z1z2) b = Re (z1/z2)
Complex number coordinates
Which coordinates show the location of -2+3i
De Moivre's formula
There are two distinct complex numbers z such that z³ is equal to 1 and z is not equal 1. Calculate the sum of these two numbers.
Linear imaginary equation
Given that ? "this is z star" Find the value of the complex number z.
Im>0?
Is -10i a positive number?
Goniometric form
Determine goniometric form of a complex number ?.
Moivre 2
Find the cube roots of 125(cos 288° + i sin 288°).
Log
Calculate value of expression log |3 +7i +5i²| .
Is complex
Are these numbers 2i, 4i, 2i + 1, 8i, 2i + 3, 4 + 7i, 8i, 8i + 4, 5i, 6i, 3i complex?
Bearing
A plane flew 50 km on a bearing 63°20' and the flew on a bearing 153°20' for 140km. Find the distance between the starting point and the ending point.
Reciprocal
Calculate reciprocal of z=0.8-1.8i:
Stadium
A domed stadium is in the shape of spherical segment with a base radius of 150 m. The dome must contain a volume of 3500000 m³. Determine the height of the dome at its centre to the nearest tenth of a meter.
Imaginary numbers
Find two imaginary numbers whose sum is a real number. How are the two imaginary numbers related? What is its sum?
ABS CN
Calculate the absolute value of complex number -15-29i.

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