For a parametric curve

MATHEMATICS · Single correct · AP · AP Precalculus · Functions with Parameters, Vectors, and Matrices · Functions with Parameters, Vectors, and Matrices

Problem

For a parametric curve, at

t=2

it is given that

\dfrac{dx}{dt}<0

and

\dfrac{dy}{dt}>0

. Without computing

\dfrac{dy}{dx}

, which statement best describes the direction of motion of the point on the curve at that instant? (a)

x

is increasing and

y

is increasing (b)

x

is decreasing and

y

is increasing (c) Direction cannot be determined without evaluating

\dfrac{dy}{dx}

(d)

x

is increasing and

y

is decreasing

Related theory

Vector-Valued Functions

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