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a national park has two options: a $50 pass for all admissions during the year, or a $4 entrance fee each time you enter. Write
1 answer:
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Volume of water in the tank:
Differentiate both sides with respect to time <em>t</em> :
<em>V</em> changes at a rate of 2000 cc/min (cubic cm per minute); use this to solve for d<em>h</em>/d<em>t</em> :
(The question asks how the height changes at the exact moment the height is 50 cm, but this info is a red herring because the rate of change is constant.)
Apparently my answer was unclear the first time?
The flux of <em>F</em> across <em>S</em> is given by the surface integral,
Parameterize <em>S</em> by the vector-valued function <em>r</em>(<em>u</em>, <em>v</em>) defined by
with 0 ≤ <em>u</em> ≤ π/2 and 0 ≤ <em>v</em> ≤ π/2. Then the surface element is
d<em>S</em> = <em>n</em> • d<em>S</em>
where <em>n</em> is the normal vector to the surface. Take it to be
The surface element reduces to
so that it points toward the origin at any point on <em>S</em>.
Then the integral with respect to <em>u</em> and <em>v</em> is
Answer:
-2x²(x + 1)(x - 4)
Step-by-step explanation:
Hello!
Factor:
Take out GCF
Think: What numbers add up to -3 and multiply to -4?
Answer: -4 and 1
Continue:
Factor by Grouping
The complete factored form is -2x²(x + 1)(x - 4)