Monday, March 17, 2008

First Principle derivative

This section is for first principle (delta proceess) questions

Revision questions for matrices

This section is for matrices exam like questions

Saturday, March 1, 2008

What is the answer for?

Problem 1

Only answer True when the statement is ALWAYS True.
The function f(x) = e power of x / (x squared − 1) is continuous on [2, 5].

Problem 2
If log(x) = 4 then log(x^2) is ....

Problem 3
log base 2 (3x) + log base 2 (2x) = 3, what is x?

Test the application of derivatives

A small company makes x hand-painted tiles daily at a cost of C(x) = 125 + 30x + 2x^3/2
dollars. What daily production level minimizes the average cost—i.e., the cost per tile?

K.E. = 1/2 m v squared

If you was the scientist to discover the K.E. formula starting from the fact that K.E. is proportional to the velocity to a power by the mass.
Illustrate your steps to lead to the above formula.

What will this give as a graph?

Voltage (V) Current (mA)
0 0
1 20
2 30
3 65
4 98
5 174
6 280

Your Strategy

All students will act as the teacher. Each of you will comment on the strategy
that you will use to teach someone about differentiation of polynomials, logs and ln.
All the common errors you have observed can now be avoided, how?
What is your strategy in your teaching to avoid these errors?