Question

Temperature changes are observed over the course of three summer months and modeled by the function f (x) = 3 cosine (StartFraction pi Over 5 EndFraction x + StartFraction pi Over 5 EndFraction) + 25, where x represents the days after June 1 and f(x) represents the temperature in degrees Celsius on day x.

Answer 1

Answer:

Day 9, 28 degrees

Day 4, 22 degrees

Step-by-step explanation:

Answer 2

Step-by-step explanation:

Since, f(x) is a cosine function, it is periodic.

Maximum : ( - 1 + 10k , 28) ; where k belongs to Z

Minimum : (4 + 10k , 22)

Cycle No. 1 : k = 1

(A) The first occurrence of highest temperature in the cycle is on day 9 after June 1 i.e. ( June 10) with 28 °C.

Cycle No. 1 : k = 0

(B) The first occurrence of lowest temperature in the cycle is on day 4 ( June 15) with 22 °C.