formula of finding average minimum and maximum temperatures
Share
formula of finding average minimum and maximum temperatures
Sign Up to our social questions and Answers Engine to ask questions, answer people’s questions, and connect with other people.
Login to our social questions & Answers Engine to ask questions answer people’s questions & connect with other people.
Answer:
In a smoothly changing function a maximum or minimum is always where the function flattens out (except for a saddle point).
Where does it flatten out? Where the slope is zero.
Where is the slope zero? The Derivative tells us!
Let's dive right in with an example:
quadratic graph
Example: A ball is thrown in the air. Its height at any time t is given by:
h = 3 + 14t − 5t2
What is its maximum height?
Using derivatives we can find the slope of that function:
d/dth = 0 + 14 − 5(2t)
= 14 − 10t
(See below this example for how we found that derivative.)
quadratic graph
Now find when the slope is zero:
14 − 10t = 0
10t = 14
t = 14 / 10 = 1.4
The slope is zero at t = 1.4 seconds
And the height at that time is:
h = 3 + 14×1.4 − 5×1.42
h = 3 + 19.6 − 9.8 = 12.8
Answer:
I said na I don't want to talk to u then why don't u understand