Please help me if you know this
1 answer:
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Answer:
t =
Step-by-step explanation:
First, you need to complete the -3 + 1 and then expand the brackets
-3 + 1 = -2
7t -2 - (-2) = -3(1 - 3t)
Now expant the -3(1 - 3t) bracket
-3 * 1 = -3
-3 * -3t = 9t
7t - 2 - -2 = 9t - 3
The two negatives turn positive:
7t - 2 + 2 = 9t - 3
7t = 9t - 3
Move the -3 over to the oposite side, and also move the +7t over to the +9t, making it a negative:
3 = 9t - 7t
3 = 2t
Divide both sides by 2:
t =
So the value of t is
<h2>Hope this helps!</h2>
Answer:
Now we can set up the derivate equal to 0 and we have:
And solving for t we got:
For the second derivate respect the time we got:
So then we can conclude that t = 4.206 is a maximum for the function.
And the corresponding height would be:
So the maximum occurs at t = 4.206 s and with a height of 135.468 m
Step-by-step explanation:
For this case we have the following function:
In order to maximize this function we need to take the first derivate respect the time and we have:
Now we can set up the derivate equal to 0 and we have:
And solving for t we got:
For the second derivate respect the time we got:
So then we can conclude that t = 4.206 is a maximum for the function.
And the corresponding height would be:
So the maximum occurs at t = 4.206 s and with a height of 135.468 m