A pancake restaurant manager calculated that p(h) dozen pancakes was the total number of pancakes sold on a Sunday, h hours since opening the restaurant at 8 am, 0 ≤ h ≤ 10 . s( p) bottles was the number of 10-oz bottles of syrup consumed when p dozen pancakes were sold, p ≥ 0 . The manager found the following: p(4)=116.75, s(116.75)=19.45, dp/dh =8.25 (h=4), ds/dp =0.3 (h=116.75) How quickly was the number of bottles of syrup used changing, with respect to time, 4 hours after the restaurant opened?
A pancake restaurant manager calculated that p(h) dozen pancakes was the total number of pancakes sold on a Sunday, h hours since opening the restaurant at 8 am, 0 ≤ h ≤ 10 . s( p) bottles was the number of 10-oz bottles of syrup consumed when p dozen pancakes were sold, p ≥ 0 . The manager found the following: p(4)=116.75, s(116.75)=19.45, dp/dh =8.25 (h=4), ds/dp =0.3 (h=116.75) How quickly was the number of bottles of syrup used changing, with respect to time, 4 hours after the restaurant opened?
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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A pancake restaurant manager calculated that p(h) dozen pancakes was the total number of pancakes sold on a Sunday, h hours since opening the restaurant at 8 am, 0 ≤ h ≤ 10 .
s( p) bottles was the number of 10-oz bottles of syrup consumed when p dozen pancakes were sold, p ≥ 0 . The manager found the following: p(4)=116.75, s(116.75)=19.45, dp/dh =8.25 (h=4), ds/dp =0.3 (h=116.75)
How quickly was the number of bottles of syrup used changing, with respect to time, 4 hours after the restaurant opened?
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