<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>
Answer:
X is an acute angle, which means it is less than 90*, so it is probably 45*
Step-by-step explanation:
I was confused at first but then, I’m just like, I can solve this!
9 times 4 = 4 times (9) because it equals to itself.
9 time 4 is 36
4 times 9 is 36
Answer: there are 32 purple marbles in the bag
Step-by-step explanation:
did the test
Answer:
75% markdown
Step-by-step explanation:
If I am not mistaken, you can input this into everyday values like a shirt.
For example: If a shirt costs $8 but is on special for $2 then it is 75% off. Since 2 goes into 8 four times, 2 can be considered 25%. So since percent almost always add up back to 100, you take 100- 25 and you get a 75% markdown.
Or so I think, don't quote me on this.
