Monday, March 17, 2008
Differentiation of ln x, e^x, sin x, cos x
This section is for rate of change of ln x, e^x, sin x, cos x 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?
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?
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.
Illustrate your steps to lead to the above formula.
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?
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?
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