AP Calculus
If the linearization of y= cube root of x at x=64 is used to approximate cube root of 66, what is the percentage error?
a) .01%
b).04%
c).4%
d)1%
e)4%
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Answers
Answer: e) 4%. The linearization of y= cube root of x at x=64 is y=4. The actual value of cube root of 66 is approximately 4.2. The percentage error is (4.2-4)/4 x 100= 4%.
