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Tangent Lines : The first problem which we're going to study is the tangent line problem. Before getting into this problem probably it would be best to define a tangent line.
A tangent line to the function f(x) at the instance x = a is a line which just touches the graph of the function at the point in question & is "parallel" (in some way) to the graph at that point. Consider the graph below.
In this graph the line is a tangent line at the specified point because just it touches the graph at that point and is also "parallel" to the graph at that point. Similarly, at the second point illustrated, the line does just touch the graph at that point, hence it is not "parallel" to the graph at that point & hence it's not a tangent line to the graph at that point.
At the second point illustrated (the point where the line isn't a tangent line) we will sometimes call the line a secant line.
Now, we've used the word parallel a couple of times and we have to probably be a little careful with it. Generally we will think of a line & a graph as being parallel at a point if they are both moving in the same direction at that point. So, in the first point above the graph and the line are moving in the same direction and so we will say they are parallel at that point. At the second point, on the other hand, the line and the graph are not moving in the same direction and so they aren't parallel at that point.
Certain model of new home distributed with a mean of $150,000. Find percentage of buyers who paid between $150,000-155,000 if standard deviation is $1800.
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A farmer grows apples on her 600 acre farm and must cope with occasional infestations of worms. If she refrains from using pesticides, she can get a premium for "organically grown"
how to compare fractions
EVERY TIME I TRY TO DO ANY KIND OF FRACTIONS WELL MULTIPLYING I ALWAYS GET IT WRONG
The following table given the these scores and sales be nine salesman during last one year in a certain firm: text scores sales (in 000''rupees) 14 31 19
2^(x) + 2^(x+3)=36
The 3-D Coordinate System We will start the chapter off with a quite brief discussion introducing the 3-D coordinate system and the conventions that we will be utilizing. We
4 friends have 235 marbles and want to share.How many marbles should each friend receive?
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