Apoint p is moving along the curve whose equation is y = \sqrt x . suppose that x is increasing at the rate of 4 units/s when x = 3. how fast is the distance between p and the point (2, 0) changing at this instant? (enter numerical answer as an integer or decimal to three decimal places, do not enter units)

3 units/s

Step-by-step explanation:

Given

Point P lie on this curve so any general point on curve can be written as

and

Distance between Point P and (2,0)

P at x=3 P=2

rate at which distance is changing is

x > 1.3

step by step:

8.5−0.9x> 9.8−1.9x

step 1: simplify both sides of the inequality.

−0.9x+8.5> −1.9x+9.8

step 2: add 1.9x to both sides.

−0.9x+8.5+1.9x> −1.9x+9.8+1.9x

1x+8.5> 9.8

step 3: subtract 8.5 from both sides.

1x+8.5−8.5> 9.8−8.5

1x> 1.3

step 4: divide both sides by 1.

1x/1 > 1.3/1

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