# Complex numbers - math problems

#### Number of problems found: 20

- ABS CN

Calculate the absolute value of complex number -15-29i. - Complex number coordinates

Which coordinates show the location of -2+3i - Linear imaginary equation

Given that ? "this is z star" Find the value of the complex number z. - The modulus

Find the modulus of the complex number 2 + 5i - Goniometric form

Determine goniometric form of a complex number ?. - Mappings of complex numbers

Find the images of the following points under mappings: z=3-2j w=2zj+j-1 - De Moivre's formula

There are two distinct complex numbers z such that z^{3}is equal to 1 and z is not equal 1. Calculate the sum of these two numbers. - Is complex

Are these numbers 2i, 4i, 2i + 1, 8i, 2i + 3, 4 + 7i, 8i, 8i + 4, 5i, 6i, 3i complex? - Im>0?

Is -10i a positive number? - Linear combination of complex

If z1=5+3i and z2=4-2i, write the following in the form a+bi a) 4z1+6z2 b) z1*z2 - Reciprocal

Calculate reciprocal of z=0.8-1.8i: - Imaginary numbers

Find two imaginary numbers whose sum is a real number. How are the two imaginary numbers related? What is its sum? - Log

Calculate value of expression log |3 +7i +5i^{2}| . - Modulus and argument

Find the mod z and argument z if z=i - Let z1=x1+y1i

Let z1=x1+y1i and z2=x2+y2i Find: a = Im (z1z2) b = Re (z1/z2) - Moivre 2

Find the cube roots of 125(cos 288° + i sin 288°). - 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. - 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. - Two grandmothers

Two grandmothers went to sell eggs at the market, and they had a total of 100. When they sold all the eggs, they made the same money. The first grandmother says to the second: "If I sold my eggs for your price, I would earn 15 crowns. " The other grandmot - Turtles 2

A box turtle hibernates in the sand at 11 5/8. A spotted turtle hibernates at 11 16/25 feet. Which turtle is deeper?

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