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Use linear approximation to show that each function below can be approximated by the given expression when |x| is small
i.) sinx ~ x
ii.) e^x ~ 1+x
iii.) ln(1+x) ~ x
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Use linear approximation to show that each function below can be approximated by the given expression when |x| is small
i.) sinx
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a.) Given that f(3)=5 and f'(x)=x/((x^3)+3), find the linear approximation of f(x) at x=3.
b.)If the linear approximation is used
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a.) Given that f(3)=5 and f'(x)=x/((x^3)+3), find the linear approximation of f(x) at x=3.
b.)If the linear approximation is used
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a) Find the linear approximation of the function f(x)=4cos(3x^2) near x = 0
b) Use the approximation found in part (a) to
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