1. The outside temperature of one day (from midnight to midnight) can be modeled as a sinusoidal function. Suppose you know the low temperature of 42°F occurs at midnight. The high temperature is 58°F. Assuming 't' is the number of hours since midnight, find a SINE equation for the temperature, T, in terms of t. Show all your planning and processing steps. Justify your answer. y = asin (c(x+)) + b OR y = a sin(cx + d) + b

Advanced Engineering Mathematics
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Chapter2: Second-order Linear Odes
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1. The outside temperature of one day (from midnight to midnight) can be modeled as a sinusoidal
function. Suppose you know the low temperature of 42°F occurs at midnight. The high temperature
is 58°F. Assuming 't' is the number of hours since midnight, find a SINE equation for the
temperature, T, in terms of t. Show all your planning and processing steps. Justify your answer.
y = asin (c (x + ²)) + b
OR y = a sin(cx + d) + b
Transcribed Image Text:1. The outside temperature of one day (from midnight to midnight) can be modeled as a sinusoidal function. Suppose you know the low temperature of 42°F occurs at midnight. The high temperature is 58°F. Assuming 't' is the number of hours since midnight, find a SINE equation for the temperature, T, in terms of t. Show all your planning and processing steps. Justify your answer. y = asin (c (x + ²)) + b OR y = a sin(cx + d) + b
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