Mth 173
Your 'question form' report has been received. Scroll down through the document to see any comments I might have inserted, and my final comment at the end.
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Mr. Smith, I really do not understand the tangent line approximations. Could you give me more examples? I was also wondering if the Riemann problems are something were supposed to be putting in our calculator?
Thanks!
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There are a lot of things to do with Riemann sums. Some problems would make appropriate use of the calculator, some would be symbolic. So it's best if you ask me specific questions about specific problems.
You should submit as much as you can of qa_14, which addresses tangent line approximations, and be sure to self-critique in the greatest detail possible. That will show me what you know, and what you need to know, and will allow me to specifically address your difficulties.
However a quick overview:
If you know the coordinates of a point and the slope of a line through that point, you can easily write down the equation of the line (this is best done by reasoning it out, but you can also use the slope-intercept form of a straight line).
If you know the value of a function f(x) and its derivative f ' (x) at some specific value of x, then you know the coordinates of a point on the graph, and the slope of the tangent line at that point. So you can write down the equation of the tangent line.