Answer:
Step-by-step explanation:
Given:
The expression to expand is given as:
Let us expand the first two binomials of the given expression using FOIL method.
The FOIL method states that:
Now, let us multiply the result with the remaining binomial. Multiplying each term of the trinomial with each term of the binomial, we get:
Therefore, the equivalent expression after expanding is given as:
<span>The maxima of a differential equation can be obtained by
getting the 1st derivate dx/dy and equating it to 0.</span>
<span>Given the equation h = - 2 t^2 + 12 t , taking the 1st derivative
result in:</span>
dh = - 4 t dt + 12 dt
<span>dh / dt = 0 = - 4 t + 12 calculating
for t:</span>
t = -12 / - 4
t = 3
s
Therefore the maximum height obtained is calculated by
plugging in the value of t in the given equation.
h = -2 (3)^2 + 12 (3)
h =
18 m
This problem can also be solved graphically by plotting t
(x-axis) against h (y-axis). Then assigning values to t and calculate for h and
plot it in the graph to see the point in which the peak is obtained. Therefore
the answer to this is:
<span>The ball reaches a maximum height of 18
meters. The maximum of h(t) can be found both graphically or algebraically, and
lies at (3,18). The x-coordinate, 3, is the time in seconds it takes the ball
to reach maximum height, and the y-coordinate, 18, is the max height in meters.</span>
You can use the formula to solve for the y-values in the table. Insert the x-value into the equation: y = 2x - 2
(ex. y = 2(1)-2)
So..
x | y
0 | -2
1 | 0
3 | 4
5 | 8
8 | 14
10 | 18
[First time answering on Brainly so I accidentally commented the answer instead. Don’t know how to delete the comment but anyways, I hope my response helped you!]
"Better to have loved a short man than never to have loved a tall".