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Based on years of weather data, the expected low temperature T (in °F) in Fairbanks, Alaska, can be approximated by т- 36 sin _(t – 101) + 14, 365 where t is in days and t = 0 corresponds to January 1. (a) Sketch the graph of T for 0 sts 365. T 60 40 60E 40 20 20 - 20 50 100 150 200 250 30 350 -20 50 100 156 200 250 300 350 -40 - 60 -40 -60 T 60 60 40 40 20 20 -20 50 100 50 200 250 300 350 100 150 200 250 300 50. - 20 -40 - 60 E -40 - 60 (b) Predict when the coldest day of the year will occur. (Round your answer to the nearest whole number.) t =

Based on years of weather data, the expected low temperature T (in °F) in Fairbanks, Alaska, can be approximated by т- 36 sin _(t – 101) + 14, 365 where t is in days and t = 0 corresponds to January 1. (a) Sketch the graph of T for 0 sts 365. T 60 40 60E 40 20 20 - 20 50 100 150 200 250 30 350 -20 50 100 156 200 250 300 350 -40 - 60 -40 -60 T 60 60 40 40 20 20 -20 50 100 50 200 250 300 350 100 150 200 250 300 50. - 20 -40 - 60 E -40 - 60 (b) Predict when the coldest day of the year will occur. (Round your answer to the nearest whole number.) t =

Advanced Engineering Mathematics
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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Based on years of weather data, the expected low temperature T (in °F) in Fairbanks, Alaska, can be approximated by 2x i sin 365 101) + 14, T= 36 sin (t - where t is in days and t = 0 corresponds to January 1. (a) Sketch the graph of T for 0 sts 365. T T 60 60 40 40 20 20 50 100 150 200 250 300 350 t 100 156 20o 250 300 350 - 20 50 -40 - 60 -20 -40 - 60 T 60 60 40 40 20 20 -20 50 100 50 200 250 300 350 - 20 100 150 200 250 300 50. -40 -40 - 60 -60 (b) Predict when the coldest day of the year will occur. (Round your answer to the nearest whole number.)
Transcribed Image Text:Based on years of weather data, the expected low temperature T (in °F) in Fairbanks, Alaska, can be approximated by 2x i sin 365 101) + 14, T= 36 sin (t - where t is in days and t = 0 corresponds to January 1. (a) Sketch the graph of T for 0 sts 365. T T 60 60 40 40 20 20 50 100 150 200 250 300 350 t 100 156 20o 250 300 350 - 20 50 -40 - 60 -20 -40 - 60 T 60 60 40 40 20 20 -20 50 100 50 200 250 300 350 - 20 100 150 200 250 300 50. -40 -40 - 60 -60 (b) Predict when the coldest day of the year will occur. (Round your answer to the nearest whole number.)
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