Points

Question 1

When x=0 when finding nature what do you do?

Answer 1

-Use factors of dy/dx
- use to work out if minimum, maximum or point of inflection

Question 2

Graph results?

Answer 2

• (+ o -) maximum point
• (+ o +) (- o - ) point of inflection
• (- o +) minimum point

Question 3

How to find when circle intersects Y axis?

Answer 3

Sub 0 into x

Question 4

How to find when circle intersects X axis?

Answer 4

Sub 0 into y

Question 5

Midpoint equation

Answer 5

((x1+x2) / 2, (y1+y2) / 2

Question 6

How to work out the number of points of intersection of a line to a point?

Answer 6

Use discriminant b^2 - 4ac

Question 7

What do values mean when you use discriminant when finding how many points of intersection?

Answer 7

b^2 - 4ac > 0 (2 points of intersection)
b^2 - 4ac = 0 (1 point of intersection)
b^2 - 4ac < 0 (0 points of intersection

Question 8

Statement for first principles? start

Answer 8

Let - p and q ……. where ….. …….. are small increments of x and y

Question 9

Statement for first principles? end

Answer 9

-dy/dx = lim dy/dx -> 0

Question 10

Circles touching externally?

Answer 10

Distance between centres = R1 + R2

Question 11

Touching internally?

Answer 11

Distance between centres = Mod positive difference

Question 12

Do not intersect? Outside

Answer 12

D > r1 + r2

Question 13

Do not intersect? Outside

Answer 13

D < Mod r1 + r2

Question 14

Intersects at 2 points

Answer 14

D < r1 + r2