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anonymous
 one year ago
MEDAL!!!!!
The temperature of a chemical reaction ranges between 20 degrees Celsius and 160 degrees Celsius. The temperature is at its lowest point when t = 0, and the reaction completes 1 cycle during an 8hour period. What is a cosine function that models this reaction?
anonymous
 one year ago
MEDAL!!!!! The temperature of a chemical reaction ranges between 20 degrees Celsius and 160 degrees Celsius. The temperature is at its lowest point when t = 0, and the reaction completes 1 cycle during an 8hour period. What is a cosine function that models this reaction?

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anonymous
 one year ago
Best ResponseYou've already chosen the best response.0answer choices f(t) = 90 cos pi/4t +70 f(t) = 70 cos pi/4t +90 f(t) = 70 cos 8t +90 f(t)= 90 cos 8t +70

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Let's figure out the amplitude of the cosine function first. Given that the min is 20 degrees and max is 160 degrees, what is the amplitude?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Amplitude should be calculated as \[A = \frac{ Max  Min }{ 2 }\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Correct, so A and D are gone.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0So now calculate omega such that \[70 \cos(\omega t) + shift\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0We are given the period 8.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0\[\omega = \frac{ 2 \pi}{ k }\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Where k = 8 (period)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0What is omega in this case?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0\[\omega = \frac{ 2\pi }{ 8 } = \frac{ \pi }{ 4 }\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0can i ask another question

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Compare the functions below: f(x) = −3 sin(x − π) + 2 g(x) x y 0 8 1 3 2 0 3 −1 4 0 5 3 6 8 h(x) = (x + 7)^2 − 1

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0which function has the smallest minimum

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Let's look at the f(x). We can quickly determine the minimum of the function by looking at its amplitude.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Without the shift, it would be 3 right? Combining the vertical shift of 2, the minimum is 3+2=1.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0i believe that h(x) has the smallest minimum value

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0The minimum of g(x) is clearly shown in the table as 1.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0h(x) minimum is also 1

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Now, h(x) is a parabola. A parabola is normally centered at the origin, but it has been shifted downwards by 1.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Correct, all of them have the same minimum.
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