<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>
Because on number two there is a right angle and a part of it is 66 you subtract 66 from 90 and then divide that by 31 and subtract 7. Hope that helped a little
Answer:
n = 6
Step-by-step explanation:
2n - 32 = 10n - 80
2n - 10n = -80 + 32
-8n = -48
-48/-8 = 6
Answer: 4778.69 + b + d - z
Step-by-step explanation:
Based on the information given above, we would add the deposits made, and the interest earned to the balance at the beginning of September while we would subtract the check written, and the maintenance fee from the balance.
This will algebraically be expressed as:
= 6238.67 + d - 1459.98 - z + b
= 6238.67 - 1459.98 + b + d - z
= 4778.69 + b + d - z
Answer:
no solutions.
Step-by-step explanation:
2x - 3y = 1
-4x + 6y = -4
Simplifying our second equation, we get:
-4x + 6y. =-4
-2x + 3y = -2
2x - 3y = 2
From here, we can see that this system of equationis has no solutions because, how can 2x - 3y be equal to both 1, and 2???
