Frequent Mistakes

Question 1

What should you be thinking when you are asked to describe a transformation?

Answer 1

Have a think if there is an easier way

Question 2

Those tricky question with rotation matrices with 2 answers: Explain?

Answer 2

Look at cast to find which one it needs to be

Question 3

What is important to keep in mind with vectors (useful but awful)

Answer 3

Just test points

Question 4

Why do I make mistakes when doing further partial fractions and transformation of roots of polynomials.
How do I fix this?

Answer 4

Roots of polynomials - keep it clear. If mistake is made rewrite whole thing or highlight it

Partial fractions - Never do 3 brackets in the head. Expand to of them and go from there

Question 5

What can save a lot of time with tangents to polar coordinates?

Answer 5

Draw the diagram and be choosey with the values of θ that you select

Question 6

How do you find the equation of a polar line which is tangent to the curve?

Answer 6

Find the cartesian equation then convert it into polar

Question 7

What does sinhx differentiate to?

Answer 7

Coshx