Suppose that y varies inversely with x. Write a function that models the inverse function. X= 15 when y= 2
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Question:
A particle moves along the x-axis so that its position at time t>0 is given by
Show that the velocity of the particle at time t is given by
Answer:
Step-by-step explanation:
Given
Required
Show that:
To calculate v(t), we use:
So, we have:
Apply quotient rule
Where
So:
So, we have:
Expand the numerator
Collect like terms
Recall that:
<em>Proved</em>