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Can sage be used to solve the following kind of problem?

asked 2013-10-10 12:02:53 -0500

Snap gravatar image

updated 2013-10-10 12:03:41 -0500

"Given that f(1) = 9, f'(1) = 5, g(9) = 6 and g'(9) = 4, what is the approximate value of g(f(1.05))?"

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answered 2013-10-10 12:16:46 -0500

Shashank gravatar image

You can just use the following script to do it. You construct two functions f and g such that they have a slope of 5 and 4 respectively and add a constant such that f(1) = 9 and g(9)=6 then evaluate at 1.05 using g(f(1.05)).

f(x)=5*x+4
g(x)=4*x-30
g(f(1.05))
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You could even use the differential equation solvers to solve these as initial value problems and stick it in... that said, this sounds like a Hughes-Hallett homework problem.

kcrisman gravatar imagekcrisman ( 2013-10-10 15:18:50 -0500 )edit

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Asked: 2013-10-10 12:02:53 -0500

Seen: 117 times

Last updated: Oct 10 '13