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

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asked 11 years ago

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updated 11 years ago

"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 11 years ago

Shashank

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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 ( 11 years ago )

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Asked: 11 years ago

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Last updated: Oct 10 '13

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

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