The function r(t)= 0.5 + t cos(πt³/80) is an illustration of a cosine function
The depth of water in the rain gauge increases by 1.466cm from t = 0 to t = 3
<h3>How to determine the increase in water depth?</h3>
The function is given as:
r(t)= 0.5 + t cos(πt³/80)
When t = 0, the depth of water is:
r(0)= 0.5 + 0 * cos(π *0³/80)
Evaluate
r(0) = 0.5
When t = 3, the depth of water is:
r(3)= 0.5 + 3 * cos(π *3³/80)
Evaluate
r(3)= 1.966
Calculate the difference (d) in the depths
d = r(3) - r(0)
So, we have:
d = 1.966 - 0.5
Evaluate
d = 1.466
Hence, the depth of water in the rain gauge increases by 1.466cm from t = 0 to t = 3
Read more about cosine functions at:
brainly.com/question/17075439
