A function satisfies and

MATHEMATICS · Single correct · CBSE · Mathematics · Integrals · Integrals

Problem

A function

x(t)

satisfies

\displaystyle \frac{dx}{dt}=\frac{t+1}{t(t-3)}

and

x(1)=0

. For

t>1

, at what value of

t

does

x(t)=\ln 2

? Round your answer to the nearest tenth. (a)

t \approx 6.9

(b)

t \approx 8.8

(c)

t \approx 5.6

(d)

t \approx 9.6