1:2:1 Maths Tuition

Maths A Level Example: Just The Merest Touch.....

Query:

Two circles C1 and C2 are given by (x-2)² + (y+4)² = 100

& x² + y² + 14x – 16y + 88 = 0.

Show that they touch at the point (-4,4).

Response:

Tangent Needed.....

Query:

Find the equation of the tangent to the curve  y = 3x²- 4x + 1 at the point (2,5).

Response:

 

Don't Do It The Hard Way.....

Query:  Find the remainder when x³-2x²-3x+1 is divided by x+2.

Response:

 

Computing Power.....

Query:

In the 1980s, the largest known prime number was calculated by a Cray computer. It took 3 hours to complete the task, working at 400 million calculations per second! Work out how many calculations were done by the computer, giving you answer in standard form.

 Response: