A particle is moving on the curve x^y=1. As it passes through the point (2,1/4), the xcoordinate is increasing at a rate of 2 units per second. At what rate is the y-coordinate changing at that time?

y-coordinate is decreasing at the rate of unit/sec.

Step-by-step explanation:

Given that:

The curve of the particle

Then:

Taking the differential of y with respect to t

At (2, 1/4)

This implies that:

Thus, y-coordinate is decreasing at the rate of unit/sec.

< coa = 150 ( given)

as ba and bc are tangents

so oc and oa is perpendicular to cb and ab respectively because in circle normal passes through centre

so in quadrilateral oabc

< coa + < oab + < ocb + < abc = 360

150 +90+90 + < abc = 360

330 + < abc = 360

< abc = 360 -330 = 30

so < abc = 30

⭐dhruv⭐

18.75 gallons

step-by-step explanation: