a-forest-is-subject-to-logging-modeled-by-fracdsdt-006-s-600-for-what-values-of-

Question

A forest is subject to logging modeled by dsdt=0.06s−600 \frac{ds}{dt} = 0.06 s - 600 . For what values of s0 $$s_0  is $$the forest shrinking? For what value of s0 $$s_0  is $$the forest size constant? If s0=9,000s_0=9,000, when does the forest disappear?

Accepted Answer

Shrinking for s010,000 $$s_0$$ Constant at s0=10,000 $$s_0 = 10$$,000 Disappears at t=50ln⁡(10)3t=\frac{50\ln(10)}{3}

Answer

Shrinking for s010,000s_0Constant at s0=9,000 $$s_0 = 9$$,000 Disappears at t=100ln⁡(3)3t=\frac{100\ln(3)}{3}

Answer

Shrinking for s06,000 $$s_0$$ Constant at s0=10,000s_0=10,000Disappears at t=50ln⁡(10)3t=\frac{50\ln(10)}{3}

Answer

Shrinking for s012,000 $$s_0$$ Constant at s0=12,000 $$s_0 = 12$$,000 Disappears at t=25ln⁡(6)3t=\frac{25\ln(6)}{3}

A forest is subject to logging modeled by dsdt=0.06s−600 \(\frac{ds}{dt}\) = 0.06 s - 600 . For what values of s0 s_0 is the forest shrinking? For what value of s0 s_0 is the forest size constant? If s0=9,000s_0=9,000, when does the forest disappear?

A forest is subject to logging modeled by $\frac{d s}{d t} = 0.06 s - 600$ . For what values of $s sub 0$ is the forest shrinking? For what value of $s sub 0$ is the forest size constant? If $s sub 0 equals 9 comma 000$ , when does the forest disappear?