Homework Help: calculus

Posted by No Name on Thursday, November 17, 2011 at 12:58pm.

Determine an appropriate linear approximation of the function f(x)= the square root of x and use it to approximate the square root of 24.2. Write your answer in decimal form

calculus - bobpursley, Thursday, November 17, 2011 at 1:25pm
f'=1/2 1/sqrtx

linear approximation: f(24.2)=f(25)-1/2sqrt25*(dx)
= 5-1/2*1/5*.8=5-.08=4.82
calculus - Rick, Thursday, November 17, 2011 at 2:20pm
Steps above are correct just the answer is wrong because of wrong subtraction. real answer is 4.92

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