Posted by **sara** on Monday, February 25, 2013 at 12:05am.

A computer takes 2 seconds to compute a particular definite integral accurate to 4 decimal places. Approximately how long does it take the computer to get 12 decimal places of accuracy using each of the LEFT, MID, and SIMP rules?

Round your answers to one decimal place.

(a) LEFT ¡Ö years

(b) MID ¡Ö hours

(c) SIMP ¡Ö minutes

- calc 2 -
**J**, Saturday, May 17, 2014 at 1:18am
(a) LEFT

For left hand or right hand rule, every extra digit requires 10 times of work. 4 digit needs 2 second. From 4 to 12, it has 8 digits. 2 * 10^(8) seconds / 60 /60 /24 /365 = 6.3 years

(b) MID

For midpoint rule, every 2 digit requires 10 times of work.

2 * 10^(8/2) /60 /60 = 5.6 hours

(c) SIMP

Each 4 digits requires 10 times of work.

2 * 10^(8/4) /60 = 3.3 mins.

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