Mathematics: The function f(t) = 33 sin (pi over 2t) − 20 models the temperature of a periodic chemical reaction where t represents time in hours. what are the maximum and minimum temperatures of the reaction, and how long does the entire cycle take? (5 points) maximum: 53°; minimum: −13°; period: 4 hours maximum: 33°; minimum: 20°; period: pi over 2 hours maximum: 13°; minimum: −53°; period: 4 hours maximum: 35°; minimum: 35°; period: 8 hours

The function f(t) = 33 sin (pi over 2t) − 20 models

Ответ:

fordkt9027

04.01.2022

The given function is
$f(t) = 33 sin( \frac{ \pi }{2} t) - 20$
with
t = time, hours
f = temperature, °C

Because the maximum and minimum values for the Sine function are +1 and -1 respectively,
The maximum value of f = 33 - 20 = 13.
The minimum value of f = -33 - 20 = -53.

The period, T, is given by
$\frac{2 \pi }{T} = \frac{ \pi }{2} \\ \\ T=4$

Maximum: 13°; Minimum: -53°; period: 4 hours

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Ответ:

insomniacnana2

26.10.2020

Mathematics

Step-by-step explanation:

Question 1 p=23

Question 2 a=17

Question 3 m=6.5

Question 5 x=4

Question 6 z=8

Question 7 f=2

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