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Given that z = a + bj, find Re(z/z) and Im(z/z).

By definition z* = a - bj.

We can write z/z* = ((a+bj)/(a-bj))*(a+bj)/(a+bj).

We calculate this to be z/z* = (a^2-b^2)/(a^2+b^2) + j(2ab)/(a^2+b^2).

Therefore, Re(z/z*) = (a^2-b^2)/(...

Answered by Penelope J. • Further Mathematics tutor

5447 Views

State what is meant by isotopes?

Isotopes are atoms with the same number of protons, but a different number of protons. Therefore, isotopes have the same atomic number but a different mass number.

An example of an isotope is carbo...

Answered by Charlie H. • Physics tutor

5546 Views

Compare the advantages and disadvantages of the two methods of generating electricity (figure 1 in answer):

Figure 1 (AQA GCSE Science A Physics: Higher Tier):

The wind turbine costs £50 000 to buy and install.

The hydroelectric generator costs £20 000 to buy and install.

Answered by Charlie H. • Physics tutor

19664 Views

How do I know whether to use Ser or Estar?

Ser and Estar are a common problem for beginners and more advanced learners alike. They both mean "to be", but are used for different things. Ser is used to... ...desc...

Answered by Stephanie B. • Spanish tutor

1971 Views

Compare and contrast classical and modern social liberalism.

Liberalism is the 'essentially contested concept' or ideal which dominates western political discourse, both explicitly and inexplicitly (Gallie). Political theorists often make the distinction between 'c...

Answered by Cameron L. • Government and Politics tutor

11377 Views