Can 5/12 be simlified
2 answers:
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Answer:
A)
B)
Step-by-step explanation:
<em>x</em> and <em>y</em> are differentiable functions of <em>t, </em>and we are given the equation:
First, let's differentiate both sides of the equation with respect to <em>t</em>. So:
By the Product Rule and rewriting:
Therefore:
A)
We want to find dy/dt when <em>x</em> = 4 and dx/dt = 11.
Using our original equation, find <em>y</em> when <em>x</em> = 4:
Therefore:
Solve for dy/dt:
B)
We want to find dx/dt when <em>x</em> = 1 and dy/dt = -9.
Again, using our original equation, find <em>y</em> when <em>x</em> = 1:
Therefore:
Solve for dx/dt:
In the given graph point B is a relative maximum with the coordinates (0, 2).
The given function is .
In the given graph, we need to find which point is a relative maximum.
<h3>What are relative maxima?</h3>The function's graph makes it simple to spot relative maxima. It is the pivotal point in the function's graph. Relative maxima are locations where the function's graph shifts from increasing to decreasing. A point called Relative Maximum is higher than the points to its left and to its right.
In the graph, the maximum point is (0, 2).
Therefore, in the given graph point B is a relative maximum with the coordinates (0, 2).
To learn more about the relative maximum visit:
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