the local maximum is at x = -2.2 and has a value of 72.576
X+5 ≤ -17
Or if it’s y instead of x put that.
Hope this helps though
1) According to the statement, the Temperature will be modeled with a sine function.
2) a genaral sin function is of the type: <span>Asin(mt + p) + M</span>
where:
t is the variable
A is the amplitud: the fluction fluctuate +/- A units over the mean value. A = 23.5°
M is the mean value. M = 47.5°
m is the frequency, which we need to be 2π/12 (the complete cycle is 12 months) = m = π/6
p is the phase shift, which is 4. p = 4
Then:
a) the model or function is T(t) = 47.5° + 23.5* sin [ (π/6) t + 4]
b) T in march => t = 3
T(3) = 47.5° + 23.5° sin [ (π/6)*3 + 4] = 32.1 °
c) T in august => t = 8
T(8) = 47.5° + 23.5° sin [ (π/6)*8 + 4] = 69.7 °
The answer is between A or b