The oblique asymptote is y = xThis is a slant asymptote
You can find this by performing polynomial long division. See the attached image for how to do the division. The quotient is the single "x" up at the very top. The remainder is -2 at the very bottom. The oblique asymptote is equal to the quotient.
One sample cup will hold 11.51 ounces of fluid.
Step-by-step explanation:
Diameter of cone shaped cup = 4 inches
Radius = 
Height of cup = 5 inches
Volume of cone = 
Putting values
Volume of cone = 
Volume of cone = 
Volume of cone = 20.93 inches cubed
Amount of fluid in one cubic inch = 0.55 ounces
Amount of fluid in 20.93 cubic inches = 0.55*20.93 = 11.51 ounces
One sample cup will hold 11.51 ounces of fluid.
The answer is 35.
Step By Step Explanation:
First put in terms of numerator/denominator without the 4 in the front. We first multiply 8*4 and then add that to 3. Then our new fraction is 35/8 and then we get our answer of 35
Here are the factors of 424,380:
<span>1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 643, 660, 1286, 1929, 2572, 3215, 3858, 6430, 7073, 7716, 9645, 12860, 14146, 19290, 21219, 28292, 35365, 38580, 42438, 70730, 84876, 106095, 141460, 212190, and 424380</span>
It is found that water is being pumped at a rate of 838095.24 cm³/min using implicit differentiation.
A conical tank's volume (V) is calculated as follows:
where the height is h and the radius is r.
When we use implicit differentiation, we get the following:
We have that:
Height of 600 cm, thus h = 600 cm
Diameter of 400 cm, thus r = 
= 200 cm
Water level rising at a rate of 20 cm/min, thus 
Since the radius is constant, 
Pumping water into the tank happens at a rate 
of
Therefore, the rate of water pumping into the tank is 838095.24 cm³/min.
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