A graphing calculator is recommended. The normal monthly high temperatures for Erie, Pennsylvania are approximated by H(t) = 56.72 + 23.62 sin(0.50t - 2.08) and the normal monthly low temperatures for Erie, Pennsylvania are approximated by L(t) = 41.89 + 21.52 sin(0.52t - 2.27) where t is the time (in months), 1sts 13, with t = 1 corresponding to January 1. Meteorology 100 80 | Ht) Lit) 60 40 20 6 8 10 12 14 Month (a) During what part of the year is the difference between the normal high and low temperatures greatest? O January O February March April O May O June O July O August O September O October O November O December When is it least? January February March April May June July O August September October November December (b) The sun is the farthest north in the sky around June 21, but the graph shows the highest temperatures at a later date. Approximate the lag time of the temperatures relative to the position of the sun. days ООООО ОООО ООО Temperature (in degrees Fahrenheit)

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
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A graphing calculator is recommended.
The normal monthly high temperatures for Erie, Pennsylvania are approximated by H(t) = 56.72 + 23.62 sin(0.50t – 2.08)
and the normal monthly low temperatures for Erie, Pennsylvania are approximated by
L(t) = 41.89 + 21.52 sin(0.52t – 2.27) where t is the time (in months), 1 sts 13, with t = 1 corresponding to January 1.
Meteorology
100
80
Ht)
60
Lit)
40
20
4
6
8
10
12
14
Month
(a) During what part of the year is the difference between the normal high and low temperatures greatest?
O January
O February
O March
April
O May
O June
O July
O August
O September
O October
O November
O December
When is it least?
January
February
March
April
May
June
July
O August
September
October
November
December
(b) The sun is the farthest north in the sky around June 21, but the graph shows the highest temperatures at a later
date. Approximate the lag time of the temperatures relative to the position of the sun.
days
O 0 0O OO 00 O000
Temperature
(in degrees Fahrenheit)
Transcribed Image Text:A graphing calculator is recommended. The normal monthly high temperatures for Erie, Pennsylvania are approximated by H(t) = 56.72 + 23.62 sin(0.50t – 2.08) and the normal monthly low temperatures for Erie, Pennsylvania are approximated by L(t) = 41.89 + 21.52 sin(0.52t – 2.27) where t is the time (in months), 1 sts 13, with t = 1 corresponding to January 1. Meteorology 100 80 Ht) 60 Lit) 40 20 4 6 8 10 12 14 Month (a) During what part of the year is the difference between the normal high and low temperatures greatest? O January O February O March April O May O June O July O August O September O October O November O December When is it least? January February March April May June July O August September October November December (b) The sun is the farthest north in the sky around June 21, but the graph shows the highest temperatures at a later date. Approximate the lag time of the temperatures relative to the position of the sun. days O 0 0O OO 00 O000 Temperature (in degrees Fahrenheit)
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