8% Start with the Letter "W"
Answer:
y=20
Step-by-step explanation:
We have been given an expression . We have been given steps how Chris tried to solve the given expression. We are asked to choose the correct option about Chris's work.
Let us simplify our given expression.
Using exponent property, , we cab rewrite our given expression as:
Now we will use exponent property to further simplify our expression.
Therefore, Chris made mistake in step 2.
Answer:
a. The critcal points are at
b. Then, is a maximum and is a minimum
c. The absolute minimum is at and the absolute maximum is at
Step-by-step explanation:
(a)
Remember that you need to find the points where
Therefore you have to solve this equation.
From that equation you can factor out and you would get
And from that you would have , so .
And you would also have .
You can factor that equation as
Therefore .
So the critcal points are at
b.
Remember that a function has a maximum at a critical point if the second derivative at that point is negative. Since
Then, is a maximum and is a minimum
c.
The absolute minimum is at and the absolute maximum is at
The diver will hit the water when the height is zero, so we will want to set our height function equal to zero
0 = -4t^2 + 11t + 3
we will then factor to find out value of t that make the function equal to zero
0 = (-4t - 1 ) ( t - 3 )
This means our function equals zero when t = -1/4 s and t = 3 seconds
Since time cannot be negative, our final solution is t = 3 seconds