At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
You could do a linear estimation.
I think there is a typo in the question. Is it f(26) = 3
You only have two points. You have no choice but to consider linear estimation.
Do you know what a linear estimation is?
No, its f (25) = 3. and thanks to everyone helping!
f(25) = 3 and f(25) = 61???
sorry, its f^1
remember that you can graph a line with two points. like the picture I drawn
Mmm wait a minute.
This is odd. The question is wrong and the answer is giiven and gets a medal too! :-)
that looks like a vertical line,
like x = 25
okay i'll try reposting the question too, if anyone else is confused. I copied it from the file im working on and pasted it so it took away the powers
Suppose that f is a function with f (25) = 61 and f^1 (25)= 3. If you have no further information, what is your best estimate of f(26.5)?
would i still approach it the same way Victorarana?
mmm with the f^1 you mean derivative i suppose?
Ok you can integrate then.
sorry im new to calculus and new to this website, im not entirely sure what you mean :P
Don't worry, let me think
I got it. let me make a draw
okay thanks a lot! i appreciate it!
that is the information we have. a point (25,f(25))
and the slope of a tangent line at that point
like we told you before, you can aproximate the value of the function with a straight line
but only at the point near x = 25
Is it clear?
Yeah that makes sense! Thank you VERY much :)
then you can do the rest by yourself =)
yep, thanks again!