A circular garden has a circumference of 113 yards. Lars is digging a straight line along a diameter of the garden at a rate of
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In order for <em>F</em> to be conservative, there must be a scalar function <em>f</em> such that the gradient of <em>f</em> is equal to <em>F</em>. This means
Integrate both sides of the first equation with respect to <em>x</em> :
Differentiate both sides with respect to <em>y</em> :
But we assume <em>g</em> is a function of <em>y</em>, which means its derivative can't possibly contain <em>x</em>, so there is no scalar function <em>f</em> whose gradient is <em>F</em>. Therefore <em>F</em> is not conservative.
Answer:
Step-by-step explanation:
The set is a well-defined collection of objects.
Set builder form describes the set by stating the property of each of its elements.
a)
W is a set of whole numbers.
b)
c)