We have been given a function . We are asked to find the formula which gives the x-coordinates of the maximum values for given function.
We know that cosine function oscillates between and 1 that is minimum value of cosine is
and maximum value is
.
We also know that and after period of cosine is
. This means after every
, we will get to
.
So maximum of cosine is , where n is an integer.
Therefore, our required formula is , where,
Answer:
It takes <em>10 minutes</em> to the park.
Step-by-step explanation:
Given that:
Time taken = 6 minutes
Distance left to be traveled = 40%
To find:
The equation to represent the distance , that still needs to be traveled after
minutes.
Solution:
As per given statement, distance traveled in 6 minutes = 60%
We can say that:
Distance traveled each minute = = 10%
After 1 minute, distance traveled = 10%
Distance left = 100 - 10 = 90%
After 2 minutes, distance traveled = 20%
Distance left = 100 - 20 = 80%
After minutes, distance traveled = 10
%
Distance left, = (100 - 10
)%
Therefore, the equation is:
Time taken by the bike to reach to the park can be found by putting = 0 (i.e. distance left to be traveled = 0)