Let f and g be functions satisfying the following conditions:
(a) f(0) = 1, (b) f'(x) = g(x), g'(x) = f(x), (c) g(0) = 0.
Estimate f(1) to three decimal places

1

Step-by-step explanation:

Linearization equation: L(x)=f(a)+f′(a)(x−a)

L(1) = f(0) + f'(0)(1-0)

L(1) = 1 + 0(1) =1

g(0) is equal to f'(0), so I substituted g(0) for f'(0) in the Linearization equation

This estimation is extremely off due to how big the change in x is.

a

step-by-step explanation:

on monday rodney ate 1/4th of the sandwich = 3/12

on tuesday he ate 1/3rd of the sandwich = 4/12

therefore in total he has eaten = 3/12 + 4/12 = 7/12

thus we can say that he has eaten 7/12 of the sandwich on monday and tuesday alltogether.

happy to

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