Calculus & Vectors

Sketch the sets of complex numbers that would satisfy the following equations.

a) |z| > 3
b) z = bi

how would the sketches look like?

  1. 👍 0
  2. 👎 0
  3. 👁 34
asked by Rayne
  1. a) the region outside a circle of radius 3 centered at the origin
    b) a vertical line through 0+bi

    1. 👍 0
    2. 👎 0
    posted by Steve

Respond to this Question

First Name

Your Response

Similar Questions

  1. Calculus & Vectors

    Sketch the sets of complex numbers that would satisfy the following equations. a)z=2 b)|z|=2 c)(5,4) d)(sqrt2, -sqrt2) Also, please explain how to do it. Thanks.

    asked by Rayne on September 28, 2013
  2. math-complex numbers

    Sketch the sets of complex numbers in the complex plane that satisfy the following: a) |z-1|=2 b) |z-3i|=2 c) |z-5+2i|=2 I'm not sure, but are you supposed to rearrange the whole thing to |z|=a+bi? So, part b would be |z|=2+3i.

    asked by Rin-chan-san on October 9, 2013
  3. math

    Sketch the sets of complex numbers that would satisfy the following equation: |z| > 3 Explain in detail how the graph will look like. Thanks.

    asked by Rinchan on October 11, 2013
  4. mathematics

    x,y and z are complex numbers that satisfy the equations x+y+z=2, xy+yz+zx=3 and xyz=4. Given that 1/(1−x−yz)+1(1−y−zx)+1(1−z−xy)=ab, where a and b are coprime positive integers, what is the value of a+b?

    asked by Mathsfreak on April 18, 2013
  5. Pre-calculus

    Let z and w be complex numbers such that |2z-2|=25, |z+2w|=5, and |z+w|=2. Find |z|. I first squared both equations and expressed the square of the magnitudes in terms of the complex numbers and its conjugates. Next, I summed the

    asked by majorbill on February 16, 2015
  6. Math

    Find the locus of points that satisfy (a) |z+1| = |z+i| (b) Re z = |z-1| and sketch them in the complex plane.

    asked by Bill on September 22, 2014
  7. Math

    1. The sum of a number and 2 is 6 less than twice that number. 2. A rectangular garden has a width that is 8 feet less than twice the length. Find the dimensions if the perimeter is 20 feet. 4. Six times a number is less than 72.

    asked by Naim on March 26, 2019
  8. ALGEBRA 1

    1. The sum of a number and 2 is 6 less than twice that number. 2. A rectangular garden has a width that is 8 feet less than twice the length. Find the dimensions if the perimeter is 20 feet. 3. Complementary angles sum up to equal

    asked by Jallai on March 20, 2019
  9. Math

    1. The sum of a number and 2 is 6 less than twice that number. 2. A rectangular garden has a width that is 8 feet less than twice the length. Find the dimensions if the perimeter is 20 feet. 3. Complementary angles sum up to equal

    asked by Naim on March 26, 2019
  10. m

    x and y are real numbers that satisfy the equations x2+y2=125 and x+y=13. What is the sum of all (distinct) possible values of x?

    asked by ayan on April 24, 2013

More Similar Questions