Complex numbers - math problems

Number of problems found: 28

  • Evaluate 18
    cplx_function Evaluate the expression (-4-7i)-(-6-9i) and write the result in the form a+bi (Real + i* Imaginary).
  • Cis notation
    complex_numbers Evaluate multiplication of two complex numbers in cis notation: (6 cis 120°)(4 cis 30°) Write result in cis and Re-Im notation.
  • An Argand diagram
    Argand_diagram Find the sum z1+z2 and difference z1-z2 and z2-z1 of z1=5+2i and z2=2+3i by an Argand diagram.
  • Let 4
    cplx_function Let z = 6 + 5i and w = 3 - i. Compute the following and express your answer in a + bi form. w + 3z
  • Conjugate equation
    conj Find the numbers of a and b, if (a - bi) (3 + 5i) is the Conjugate of (-6 - 24i)
  • Eq2 equations
    eq2_fx For each of the following problems, determine the roots of the equation. Given the roots, sketch the graph and explain how your sketch matches the roots given and the form of the equation: g(x)=36x2-12x+5 h(x)=x2-4x+20 f(x)=4x2-24x+45 p(x)=9x2-36x+40
  • Subtracting complex in polar
    imac Given w =√2(cosine (p/4) + i sine (pi/4) ) and z = 2 (cosine (pi/2) + i sine (pi/2) ), what is w - z expressed in polar form?
  • Distance two imaginary numbs
    complex_numbers Find the distance between two complex number: z1=(-8+i) and z2=(-1+i).
  • Modulus and argument
    complex_numbers Find the mod z and argument z if z=i
  • 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
  • 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
  • Mappings of complex numbers
    complex_numbers Find the images of the following points under mappings: z=3-2j w=2zj+j-1
  • Let z1=x1+y1i
    cplx_function Let z1=x1+y1i and z2=x2+y2i Find: a = Im (z1z2) b = Re (z1/z2)
  • The modulus
    abs_value Find the modulus of the complex number 2 + 5i
  • 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? Write answer as number 1 or 2.
  • Complex number coordinates
    complex_numbers Which coordinates show the location of -2+3i
  • 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.
  • 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.
  • 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?

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