Brzycki's formula is used by weight lifters to determine the weight M that is equivalent in a single repetition to n repetitions of a weight w. The formula is M =  w 1.0278 − 0.0278n. It applies for up to  n = 10  repetitions. In this exercise we consider a weight lifter who bench-presses several repetitions of  w = 270 pounds. (a) What single bench press weight M corresponds to 9 repetitions of this weight? (Round your answer to two decimal places.) M =  lb (b) What number of repetitions n of this weight corresponds to a single bench press of 277.72 pounds? (Round your answer to the nearest whole number.) n =  repetitions

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Brzycki's formula is used by weight lifters to determine the weight M that is equivalent in a single repetition to n repetitions of a weight w. The formula is

M = 
w
1.0278 − 0.0278n
.

It applies for up to 

n = 10

 repetitions.

In this exercise we consider a weight lifter who bench-presses several repetitions of 

w = 270 pounds.
(a) What single bench press weight M corresponds to 9 repetitions of this weight? (Round your answer to two decimal places.)
M =  lb

(b) What number of repetitions n of this weight corresponds to a single bench press of 277.72 pounds? (Round your answer to the nearest whole number.)
n =  repetitions
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