Complex numbers - math word problems

  1. Complex number coordinates
    complex_numbers Which coordinates show the location of -2+3i
  2. Bearing
    compass 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.
  3. Linear imaginary equation
    cplx_function Given that ? "this is z star" Find the value of the complex number z.
  4. Stadium
    sphere_segment 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.
  5. Is complex
    cplx Are these numbers 2i, 4i, 2i + 1, 8i, 2i + 3, 4 + 7i, 8i, 8i + 4, 5i, 6i, 3i complex?
  6. Imaginary numbers
    Complex_conjugate_picture.svg Find two imaginary numbers whose sum is a real number. How are the two imaginary numbers related? What is its sum?
  7. Moivre 2
    moivre_complex Find the cube roots of 125(cos 288° + i sin 288°).
  8. De Moivre's formula
    sqrt3_complex 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.
  9. Log
    exp_log Calculate value of expression log |3 +7i +5i2| .
  10. Goniometric form
    complex_fnc Determine goniometric form of a complex number ?.
  11. Im>0?
    ReIm Is -10i a positive number?
  12. Reciprocal
    complex_numbers Calculate reciprocal of z=0.8-1.8i:
  13. ABS CN
    complex_num Calculate the absolute value of complex number -15-29i.

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