Complex numbers - practice problems - page 2 of 3
Direction: Solve each problem carefully and show your solution in each item.Number of problems found: 57
- Real and imaginary parts
Let z1=x1+y1i and z2=x2+y2i Find: a = Im (z1z2) b = Re (z1/z2) - ReIm notation
Let z = 6 + 5i and w = 3 - i. Compute the following and express your answer in a + bi form. w + 3z - Evaluate complex expr Evaluate the expression (-4-7i)-(-6-9i) and write the result in the form a+bi (Real + i* Imaginary).
- An 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.
- Modulus and argument
Find the mod z and argument z if z=i - Log
Calculate the value of expression log |-10 -2i +7i²| . - Determine 3888
Determine the sum of the three-third roots of the number 64. - Difference 4102
Determine the difference between two complex numbers: 3i²-3i4 - Determine 4083
Determine the sum of complex numbers: 2i² + 2i4
- Complex number coordinates
Which coordinates show the location of -2+3i - Linear combination of complex If z1=5+3i and z2=4-2i, write the following in the form a+bi a) 4z1+6z2 b) z1*z2
- Eq2 equations
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 g(x) - Calculate 3884
Calculate the ratio of the two fifth roots of the number 32. - Is complex Are these numbers 2i, 4i, 2i + 1, 8i, 2i + 3, 4 + 7i, 8i, 8i + 4, 5i, 6i, 3i complex?
- Complex conjugate
What is the conjugate of the expression 5√6 + 6√5 i? A.) -5√6 + 6√5 i B.) 5√6 - 6√5 i C.) -5√6 - 6√5 i D.) 6√5 - 5√6i - Im>0?
Is -10i a positive number? - Reciprocal Calculate the reciprocal of z=0.8-1.8i:
- Equation: 3726
Determine the real root of the equation: x-3: x-8 = 32 - Mappings of complex numbers Find the images of the following points under mappings: z=3-2j w=2zj+j-1
Find the numbers of a and b; if (a - bi) (3 + 5i) is the Conjugate of (-6 - 24i)Do you have homework that you need help solving? Ask a question, and we will try to solve it. Solving math problems.
