Hey there mate ;)
Note that the quadratic function
A(x) = x(100-2x) gives the area.
Now, this equation is equivalent to:
A(x) = 100x - 2x²
To find maximum value of A, we first find the derivative of the given function:

Now find the critical value by setting dA/dx=0, that is:-

Solving for x, we get:

Hence, the critical point is x=25
Now, Find 2nd derivative to check if the equation has maximum value:

Noting that the 2nd derivative is negative, hence, we have a maximum value. Infact, the maximum value in this case is when the value of x = 25.
The maximum area is therefore,

→ The Correct answer is:

(pi) = 7x - 2y....subtract 7x from both sides
(pi) - 7x = -2y...divide both sides by -2
((pi) - 7x) / -2 = y
Hello,
4 is to 78 as x is to 100, we write it as a ratio:
Speed=distance / time
Data:
distance=240 m
time=6 s
Speed of this train=240 m / 6 s=40 m/s
The train pass through 480 meters of tunnel, therefore the distance will be:
distance of the tunnel + distance of the train= 480 m + 80 m=560 m
speed=distance / time ⇒ Time=distance / speed
Data:
distance=560 m
speed=40 m/s
Time=560 m/ (40 m/s)=14 s
Answer: 14 seconds will take the train to pass through a 480 m long tunnel.