# Complex numbers - math word problems

#### Number of problems found: 17

• 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 z3 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?
• 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 +5i2| .
• 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°). 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.
• 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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