Not real clear what tools can be used...
We have a well-known result:
So,
Since this is ALWAYS an underestimate, your task is to determine where
PK Fire!
Verify the given linear approximation at . Then determine the values of x for which the linear approximation is accurate to within 0.1
*I don't know how to do an approximately sign but it's not supposed to be an equal sign.
I don't know if this is the exact same thing but it's the only thing I can find in my book that is similar.
Example:
For what values of x is the linear approximation
It's supposed to be an approximately sign not equal
accurate within 0.5? What about accuracy to within 0.1?
Solution:
Accuracy to within 0.5 means that the functions should differ by less than 0.5.
This says that the linear approximation should lie between the curves obtainted by shifting the curve upward and downward by an amount 0.5.
Later it gives me -2.6 < x < 8.6 for the 0.5 and -1.1 < x < 3.9 for the 0.1
I don't understand how they got the answers in the book.