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Express (3+ i)(1 + 2i) as a complex number in the form a+bi where a and b are real numbers.

One can treat complex multiplication as polynomial multiplication, but remembering i^2 = -1. To perform polynomial multiplication, multiply each term one by one, then add them together. Hence (3+i)(1+2i) ...

AS
Answered by Alvin S. Maths tutor
9766 Views

A ball is rolled, travelling 10 m north in 5s, then 10 m east in 10s. What is the total distance and average speed of the ball? What is the total displacement and average velocity of the ball?

First to note is how average speed, v, distance, d, and time, t, are related. This is given by v = d/t. The journey is split into two parts, but we are only asked for the total distance and average speed....

AS
Answered by Alvin S. Physics tutor
2906 Views

How have you demonstrated your communication skills are good enough to become a doctor?

I have volunteered for charity XYZ which involved communicating with various different sorts of people. I have also volunteered in a nursery and worked with younger children which has allowed me to adapt ...

MA
1845 Views

Give 3 ways in which the properties of ATP make it a suitable source of energy in biological processes.

  1. Break down involves a single reaction (speed)
  2. Energy is released in small, manageable amounts.
  3. Soluble
MT
Answered by Molly T. Biology tutor
13742 Views

When integrating by parts, how do I decide which part of the integrand is u or f(x) and which dv or g'(x)?

Integration by parts is not only a very useful techinque for integrating, but it is also one of the techinques that appears more in the IB Mathematics exams. The most important step is to choose the part ...

XB
Answered by Xell B. Maths tutor
2291 Views

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