calculus
posted by No Name .
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
f'=1/2 1/sqrtx
linear approximation: f(24.2)=f(25)1/2sqrt25*(dx)
= 51/2*1/5*.8=5.08=4.82 
calculus 
Rick
Steps above are correct just the answer is wrong because of wrong subtraction. real answer is 4.92
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