Complex numbers - math problems

Number of problems found: 20

  • Turtles 2
    turtles A box turtle hibernates in the sand at 11 5/8. A spotted turtle hibernates at 11 16/25 feet. Which turtle is deeper?
  • Complex number coordinates
    complex_numbers Which coordinates show the location of -2+3i
  • 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.
  • Is complex
    cplx Are these numbers 2i, 4i, 2i + 1, 8i, 2i + 3, 4 + 7i, 8i, 8i + 4, 5i, 6i, 3i complex?
  • 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?
  • Moivre 2
    moivre_complex Find the cube roots of 125(cos 288° + i sin 288°).
  • 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 to 1. Calculate the sum of these two numbers.
  • Log
    exp_log Calculate value of expression log |3 +7i +5i2| .
  • Goniometric form
    complex_fnc Determine the goniometric form of a complex number z = √ 110 +4 i.
  • Im>0?
    ReIm Is -10i a positive number?
  • Reciprocal
    complex_numbers Calculate reciprocal of z=0.8-1.8i:
  • ABS CN
    complex_num Calculate the absolute value of complex number -15-29i.
  • Linear imaginary equation
    cplx_function Given that 2(z+i)=i(z+i) "this is z star" Find the value of the complex number z.
  • 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.
  • Two grandmothers
    chicken 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
  • The modulus
    abs_value Find the modulus of the complex number 2 + 5i
  • Let z1=x1+y1i
    cplx_function Let z1=x1+y1i and z2=x2+y2i Find: a = Im (z1z2) b = Re (z1/z2)
  • Mappings of complex numbers
    complex_numbers Find the images of the following points under mappings: z=3-2j w=2zj+j-1
  • Linear combination of complex
    cplx_function If z1=5+3i and z2=4-2i, write the following in the form a+bi a) 4z1+6z2 b) z1*z2
  • Modulus and argument
    complex_numbers Find the mod z and argument z if z=i

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