The point lies on the circle defined implicitly by

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

Problem

The point

(3,4)

lies on the circle defined implicitly by

x^{2}+y^{2}=25

. Using that information, estimate the

y

-coordinate corresponding to

x=3.05

that is still on the same branch of the circle. (a)

3.9250

(b)

4.0375

(c)

3.9625

(d)

3.9963