A point moves on the circle in the first quadrant

MATHEMATICS · Single correct · AP · Calculus AB · Analytical Applications of Differentiation · Analytical Applications of Differentiation

Problem

A point moves on the circle

x^{2}+y^{2}=100

in the first quadrant. If the

x

-coordinate is increasing with time, what is the sign of

\dfrac{dy}{dt}

? (a) Always positive (b) Always negative (c) Always zero (d) Changes sign depending on

x