The months with temperature below 0° is August and October.
GIven,
T(m) = 4 sin (π/6 m)₊2
In the above equation, T(m) is the average temperature in a month in degrees Fahrenheit, and m is the month of the year.
T(8) = 4 sin (8π/6 m)₊2
= 4 sin (4π/3 )₊2
= 4 sin (π₊π/3 )₊2
= ₋4 sin π/3 ₊2
= ₋4×√3/2 ₊2
= ₋2√3 ₊ 2 <0
The function for the average monthly temperature, in m months from january is given by
T(0) = 4 sin(10π/6) ₊ 2
= 4 sin(5π/3) ₊ 2
= 4 sin(2π ₋ π/3) ₊ 2
= - 4sin π/3 ₊ 2 = ₋4 × √3/2 ₊ 2
= ₋2√3 ₊2<0
we can notice that after january, from august till october the months will face temperature below 0 degrees.
So the answer is August and October.
Your question is incomplete. Please find the missing content here.
The average monthly temperature T(m), in degrees Celsius, in a particular city varies according to the model T of m equals 4 times sine of the quantity pi over 6 times m end quantity plus 2 comma where m represents the months of the year and January begins at m = 0. Between what months will the temperature be below 0°C?
- July and November
- July and October
- August and November
- August and October
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