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The slope is 0 so it's a horizontal line parallel to the x-axis. All the values of y are the same. The line passes through the point (1,8), so y=8.
Full working out shown from step 1 to last.
follow it and you get 24 square feet as final answer. Good luck in other questions!!!
The roots of the polynomial <span><span>x^3 </span>− 2<span>x^2 </span>− 4x + 2</span> are:
<span><span>x1 </span>= 0.42801</span>
<span><span>x2 </span>= −1.51414</span>
<span><span>x3 </span>= 3.08613</span>
x1 and x2 are in the desired interval [-2, 2]
f'(x) = 3x^2 - 4x - 4
so we have:
3x^2 - 4x - 4 = 0
<span>x = ( 4 +- </span><span>√(16 + 48) </span>)/6
x_1 = -4/6 = -0.66
x_ 2 = 2
According to Rolle's theorem, we have one point in between:
x1 = 0.42801 and x2 = −1.51414
where f'(x) = 0, and that is <span>x_1 = -0.66</span>
so we see that Rolle's theorem holds in our function.
Answer:
The rate at which water leaking is
gal/min.
Step-by-step explanation:
Given:
A large container holds 8 gallons of water.
After 56 minutes the container only has 1 gallon of water left.
Now, to find at what rate is the water leaking.
So, water leaked from the container = 8 gallons - 1 gallon = 7 gallons.
Time taken for leakage = 56 minutes.
<em>Now, to get the rate:</em>



The rate =
gal/min.
Therefore, the rate at which water is leaking is
gal/min.