Question 1036453
state the linear approximation of √99.95 
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L(x) = f(a) + f'(a)(x-a)
a = 100
f(x) = x^(1/2)
f'(x) = 1/(2*sqrt(x))
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L(sqrt(99.95)) = 10 + f'(100)(100-99.95)
L(sqrt(99.95)) = 10 + 1/(2*10)*(-0.05)
L(sqrt(99.95)) = 10 - 0.0025
L(sqrt(99.95)) = 9.9975
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Cheers,
Stan H.