SOLUTION: Suppose that f(t) is a function with f(25) = 3.6 and f'(25)=-0.2 estimate f(26)

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Question 1049095: Suppose that f(t) is a function with f(25) = 3.6 and f'(25)=-0.2
estimate f(26)
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Use the approximation,
df%2Fdt=%28f%5Bt%2Bdt%5D-f%5Bt%5D%29%2Fdt
%28df%2Fdt%29%2825%29=%28f%5B26%5D-f%5B25%5D%29%2F%2826-25%29
-0.2=%28f%2826%29-3.6%29%2F%281%29
f%2826%29-3.6=-0.2
f%2826%29=3.4