The desert temperature, H, oscillates daily between 42°F at 6am and 82°F at 6pm. (a) Write a possible formula for H, measured in hours from 6am. Use the form H(t) = Acos(Bt) + C. H(t) = (b) How fast is the temperature changing at noon? Give an exact simplified answer. degrees per hour ✓
The desert temperature, H, oscillates daily between 42°F at 6am and 82°F at 6pm. (a) Write a possible formula for H, measured in hours from 6am. Use the form H(t) = Acos(Bt) + C. H(t) = (b) How fast is the temperature changing at noon? Give an exact simplified answer. degrees per hour ✓
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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![The desert temperature, \( H \), oscillates daily between \( 42^\circ \text{F} \) at 6am and \( 82^\circ \text{F} \) at 6pm.
**(a)** Write a possible formula for \( H \), measured in hours from 6am. Use the form \( H(t) = A\cos(Bt) + C \).
\[ H(t) = \underline{\hspace{3cm}} \]
**(b)** How fast is the temperature changing at noon? Give an exact simplified answer.
\[ \underline{\hspace{3cm}} \] degrees per hour ✔️](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6a5c500a-af21-4189-b630-ff7bbb03bf84%2F0cb56679-8e7e-4d84-9627-4efb1dbd979e%2Ffvlyje_processed.png&w=3840&q=75)
Transcribed Image Text:The desert temperature, \( H \), oscillates daily between \( 42^\circ \text{F} \) at 6am and \( 82^\circ \text{F} \) at 6pm.
**(a)** Write a possible formula for \( H \), measured in hours from 6am. Use the form \( H(t) = A\cos(Bt) + C \).
\[ H(t) = \underline{\hspace{3cm}} \]
**(b)** How fast is the temperature changing at noon? Give an exact simplified answer.
\[ \underline{\hspace{3cm}} \] degrees per hour ✔️
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