<span>diff(x^2-11*x+24, x) = 2*x - 11
solve(2*x-11 = 0)
x = 11/2
y = (11/2)^2-11*(11/2)+24 = - 25/4
Vertex = (11/2, - 25/4)</span>
Answer:
31.6
Step-by-step explanation:
26+18=44
90-44
Answer:
The Acceleration of bike after 3 minutes of ride is 14 meter² per minutes
Step-by-step explanation:
Given as :
The displacement of bike is the function of time
i.e s(t) = t³ - 2 t² + 3 meters
The Time of bike acceleration = t = 3 minutes
Let The Acceleration of bike = a meter² per minutes
Now, According to question
∵ <u>Acceleration is define as the rate of change of velocity</u>
i.e acceleration =
or, a =
And
<u>Velocity is define as rate of change of displacement</u>
i.e velocity =
Or, v =
Since here displacement is function of time
So , v =
Or, v =
Or, v = 3 t² - 4 t + 3
So, velocity is the function of time = v = 3 t² - 4 t + 3 meter per minutes
Now, Again
Acceleration = a =
Or, a =
Or, a = 6 t - 4
∴ Acceleration is the function of time = a = 6 t - 4
Now, Acceleration of bike after 3 minutes
So, at t = 3 min
i.e a = 6 t - 4
Or, a = 6 × 3 - 4
Or, a = 18 - 4
∴ a = 14 meter² per minutes
Hence, The Acceleration of bike after 3 minutes of ride is 14 meter² per minutes . Answer