Core3 Worked solutions

June 2010
https://docs.google.com/viewer?a=v&pid=explorer&chrome=true&srcid=0B2J1T-insOmpNzhkYzc0MGItNDBkOS00MTI3LThhNjYtOTlkM2VmYzhmMzUw&hl=en

Jan 2010
https://docs.google.com/viewer?a=v&pid=explorer&chrome=true&srcid=0B2J1T-insOmpYjRhNWY3NzEtYTM2Ni00YmVmLTgzYjctYWYwMzYyMjZiZmUx&hl=en

June 2009
https://docs.google.com/viewer?a=v&pid=explorer&chrome=true&srcid=0B2J1T-insOmpMWFjYmFhMmEtZjQ0Yy00ZGE2LThjNGYtMDBjMjdhNmMwNGE2&hl=en

Jan 2009
https://docs.google.com/viewer?a=v&pid=explorer&chrome=true&srcid=0B2J1T-insOmpOTkxY2MyYTctYzNmNC00MzZjLTk1OTQtZDBmZTc4MDA3YTk0&hl=en

June 2008
https://docs.google.com/viewer?a=v&pid=explorer&chrome=true&srcid=0B2J1T-insOmpYTUwNzAzZTQtYjBkYi00ODlhLTgzMDEtMWQ3ZmExZDEyMmE1&hl=en

Jan 2008
https://docs.google.com/viewer?a=v&pid=explorer&chrome=true&srcid=0B2J1T-insOmpMDBmODNkYmItNzI5Yi00Njg1LThjODktMDRmZTAxZWZlNGI3&hl=en

June 2007
https://docs.google.com/viewer?a=v&pid=explorer&chrome=true&srcid=0B2J1T-insOmpYzA3OWY5YjEtNWJiZi00NjkzLTk5YjctY2RiYTY5OTcxNzBl&hl=en

Jan 2007
https://docs.google.com/viewer?a=v&pid=explorer&chrome=true&srcid=0B2J1T-insOmpZWRmZDI0ODktNzJjZi00NWYwLWExNmMtNzJkNjNkNDFiYmIz&hl=en

June 2006
https://docs.google.com/viewer?a=v&pid=explorer&chrome=true&srcid=0B2J1T-insOmpNzQ2YTU5YzktZjMxNC00N2ZjLWIzMDctYjI3ZjcyZjIxYzJk&hl=en

Core4 Exponential growth and decay 30/03/11

https://docs.google.com/viewer?a=v&pid=explorer&chrome=true&srcid=0B2J1T-insOmpOTVlOWQ4YTAtNTA0OS00ZWM4LTkwMDgtODIzZGQwMGM4MTkx&hl=en

Core4 Rates of change 28/03/11

• Going through homework question about implicit differentiation


• Introducing connected rates of change


• Problems involving rates of change


• Past exam questions involving rates of change

Flipchart:

https://docs.google.com/viewer?a=v&pid=explorer&chrome=true&srcid=0B2J1T-insOmpOGRlNTRkZGQtYjIzMC00MjYwLTk5MzQtNGQ5OTYzZjg5MWU0&hl=en

Past exam questions worksheet:

https://docs.google.com/leaf?id=0B2J1T-insOmpZTk2M2EwNjAtZTY4OS00NDgxLWIxNmMtOTE3NmM5MjFkOTk4&hl=en

Core4 Implicit differentiation 23/03/11

• Intro to implicit differentiation
• Using chain rule to differentiate terms in y with respect to x
• Including use of product rule for terms in both x and y
• Using to solve problem involing tangents and normals to curve defined implicitly
• HOMEWORK SET on problem involving stationary points on a curve defined implicitly

https://docs.google.com/viewer?a=v&pid=explorer&chrome=true&srcid=0B2J1T-insOmpOTlhZTYwZjAtNWZkNi00NzUwLWJjMzktMjE4MWM3ZDM5ZmI0&hl=en

Core3 Some more trig 09/03/11

• A few Core 3 trig exam questions

https://docs.google.com/viewer?a=v&pid=explorer&chrome=true&srcid=0B2J1T-insOmpYzI1OWRhNDItMDJkMi00MTY3LTgxOGItNTQ5ZTNmZTMxZDY3&hl=en

Core3 a cos + b sin 07/03/11

• Recalling sin and cos addition formulae
• Using form a sin theta + b cos theta = R cos (theta - alpha) etc.

https://docs.google.com/viewer?a=v&pid=explorer&chrome=true&srcid=0B2J1T-insOmpYWNmYWQxNWMtNzAyMS00NGExLWFlZjMtZjVlNThhZWZmMDY0&hl=en

Thursday 3rd March 2011, Period 5

Just did more differentiation practice.

Differentiate:
y = sec x
y = cosec x
y = cot x
using either Quotient Rule or Chain Rule.

HOMEWORK
Exercise 5F
Q8 (all parts)
due Wednesday 9th March 2011

Core4 Using parametric equations 02/03/11

• Reminder of differentiating parametric equations
• Finding gradient at given point of curve defined by parametric equations
• Finding equations of tangent to curve at given point

https://docs.google.com/viewer?a=v&pid=explorer&chrome=true&srcid=0B2J1T-insOmpNDQ3OWM3MTItNjBmNS00YjFmLTk5N2UtNDUwYmRiMzYxZTll&hl=en