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Leni [432]
3 years ago
7

Temperature changes are observed over the course of three summer months and modeled by the function f (x) = 3 cosine (StartFract

ion 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.

Mathematics
2 answers:
atroni [7]3 years ago
6 0

Answer:

Day 9, 28 degrees

Day 4, 22 degrees

Step-by-step explanation:

frosja888 [35]3 years ago
4 0

Step-by-step explanation:

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

<u>Maximum : ( - 1 + </u><u>10<em>k</em></u><em><u> </u></em><u>, 28)</u> ; where <em>k</em> belongs to <em>Z</em>

Minimum : (4 + 10<em>k</em> , 22)

<u>Cycle No. 1</u> : k = 1

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

<u>Cycle No. 1</u> : k = 0

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

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