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What rate are you trying to find? Write an equation relating the variables. Note

ID: 3341552 • Letter: W

Question

What rate are you trying to find?

Write an equation relating the variables. Note: In order for WeBWorK to check your answer you will need to write your equation so that it has no denominators. For example, an equation of the form 2/x = 6/y should be entered as 6x=2y or y = 3x or even y - 3x = 0.

Use the chain rule to differentiate this equation and then solve for the unknown rate, leaving your answer in equation form.

Substitute the given information into this equation and find the unknown rate. Express your answer in the form dx/dt, dy/dt, or dz/dt = a number.

A particle is moving along the curve y=x%u221A. As the particle passes through the point (4,2), its x-coordinate increases at a rate of 3 cm/sec. How fast is the distance D from the particle to the origin changing at this instant?

dD/dt =

Explanation / Answer

What rate are you trying to find? Write an equation relating the variables. Note

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