Question #2f059

Redirected from "Suppose that I don't have a formula for #g(x)# but I know that #g(1) = 3# and #g'(x) = sqrt(x^2+15)# for all x. How do I use a linear approximation to estimate #g(0.9)# and #g(1.1)#?"
1 Answer
Feb 13, 2018

He is thinking of the number #25#.

Explanation:

Think about the first couple of squares. It should be in here as #20# to #30# is not high.

#1^2=1#

#2^2=4#

#3^2=9#

#4^2=16#

#5^2=25#

#25# is #5^2# and also fits in between #20# and #30#.

#25# is the answer. Have a nice day!