Parametric Functions and Rates of Change · AP Precalculus · Varsity Tutors

AP Precalculus Quiz

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FUNCTIONS INVOLVING PARAMETERS, VECTORS, AND MATRICES

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A particle's position is

x(t)=\ln(t+1)

and

y(t)=t^2

, where

t

is in seconds and

t\ge 0

. The slope is

dy/dx=(dy/dt)/(dx/dt)

. What is the rate of change of

y

with respect to

x

at

t=1

?

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