<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: area 24 perimeter/circumstance 32 meters
Step-by-step explanation:
Answer:
5v24
Step-by-step explanation:
(v22)(5v2) = 5v(2+22) = 5v24
Answer:
sew eyebrows
Step-by-step explanation:
she'll govern drs creed reveals mysterious bees grew
Answer:
- 132
Step-by-step explanation:
This can be evaluated without a calculator.
Take each part of the calculation and evaluate, that is
- 6(3)(- 4) = - 6 × - 12 = 72
3(3)²(- 4) = 3 × 9 × - 4 = - 12 × 9 = - 108
2(3)(- 4)² = 6 × 16 = 96
Putting the 3 parts back together
72 - 108 - 96
= 72 - 204
= - 132
