Question

Please help will fan and give medal
The function f(t) = 30 sin (pi over 3t) −15 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?

maximum: 30°; minimum: 15°; period: pi over 3 hours

maximum: 30°; minimum: −15°; period: pi over 3 hours

maximum: 45°; minimum: 15°; period: 6 hours

maximum: 15°; minimum: −45°; period: 6 hours

Answer 1

@ganeshie8 @amistre64 @tanmaykhandait

Answer 2

@jacobwat

Answer 3

Sin range fro [-1,1]
Therefore 30sin theta ranges ranges from [-30,30]
Subtracting 15
The function ranges from from [-45,15]

Answer 4

so @tanmaykhandait would you say d? because based on your info thats what im thinking

Answer 5

Ya

Answer 6

awesome can you help me witha few more questions @tanmaykhandait

Answer 7

I can try

Answer 8

awesome thank you :-) im typing it now @tanmaykhandait

Answer 9

@tanmaykhandait
the function f(t)=5 cos (pi/4t)+11 represents the tide in dark sea. it has a maximum of 16 feet when t time t is 0 and a minimum of 6 feet. the sea repeats this cycle every 8 hours

after 6 hours what is the tide?

a.)11
b.)6
c.)8.5
d.)10.5

Answer 10

@jim_thompson5910

Answer 11

@Hero

Answer 12

@ganeshie8

Answer 13

Sorry...I don't know...will let u know in some time

Answer 14

\(\color{blue}{\text{Originally Posted by}}\) @helpmemath123
@tanmaykhandait
the function f(t)=5 cos (pi/4t)+11 represents the tide in dark sea. it has a maximum of 16 feet when t time t is 0 and a minimum of 6 feet. the sea repeats this cycle every 8 hours

after 6 hours what is the tide?

a.)11
b.)6
c.)8.5
d.)10.5
\(\color{blue}{\text{End of Quote}}\)

This is just a matter of plugging in \(t=6\):
\[f(6)=5\cos\frac{6\pi}{4}+11=0+11\]

Answer 15

thank you this is the only one i got wrong on my exam :)