Temperature at midnight is 56°, the high and low temperatures during the day are 71° and 41°. find an equation for the temperature.
Find the times when the temperature is 60°.
What I got:
y = 15sin(pix/12)+56
However, the professor wrote f(t)= -15sin(pit/12)+56
Why he got a -15 and i got a +15?
As I know the equation y=Asin(Bx+C) A is positive.
Look at your graph and your professor's here : https://www.desmos.com/calculator/bg0eniwddi
Notice that, 6 hours after midnight - 6AM - your graph reads 71° while your professor's reads 41°.......this seems more likely because the coolest temperatures usually occur in the early morning hours
Also.....notice that 18 hours after midnight - at 6PM - your graph reaches its lowest temperature of 41° while your professor's hits 71°......this is also more likely as temperatures usually peak around the early evening hours
You were close.......note that "A" can take on a negative value......!!!!!!!.......it just "flips" the curve when it's negative........
Look at your graph and your professor's here : https://www.desmos.com/calculator/bg0eniwddi
Notice that, 6 hours after midnight - 6AM - your graph reads 71° while your professor's reads 41°.......this seems more likely because the coolest temperatures usually occur in the early morning hours
Also.....notice that 18 hours after midnight - at 6PM - your graph reaches its lowest temperature of 41° while your professor's hits 71°......this is also more likely as temperatures usually peak around the early evening hours
You were close.......note that "A" can take on a negative value......!!!!!!!.......it just "flips" the curve when it's negative........