Aparticle moves along the curve below. y = sqrt(1 + x^3) as it reaches the point (2, 3), the y-coordinate is increasing at a rate of 14 cm/s. how fast is the x-coordinate of the point changing at that instant?

7 cm/s

Explanation:

Given

Particle move along curve

As it reaches the (2,3) its y coordinate is increasing at 14 cm/s

Differentiating y w.r.t time

Now at (2,3)

a high pressure system is a dense air mass that is usually cooler and drier than the surrounding air. a low pressure system is a less dense air mass that is usually wetter and warmer than the surrounding air.

in general, areas that experience high atmospheric pressure also experience fair weather. low pressure systems can cause the formation of clouds and storms. air usually flows from areas of high pressure to areas of low pressure..