Solved

Solve the Problem y=3x4y = 3 x ^ { 4 }

Question 66

Multiple Choice

Solve the problem.
-A water tank is formed by revolving the curve y=3x4y = 3 x ^ { 4 } about the yy -axis. Water drains from the tank through a small hole in the bottom of the tank. At what constant rate does the water level, y\mathrm { y } , fall? (Use Torricelli's Law: dV/dt=my\mathrm { dV } / \mathrm { dt } = - \mathrm { m } \sqrt { \mathrm { y } } .)


A) dydt=mπ3\frac { \mathrm { dy } } { \mathrm { dt } } = \frac { - \mathrm { m } \pi } { \sqrt { 3 } }
B) dydt=m3π\frac { \mathrm { dy } } { \mathrm { dt } } = \frac { - \mathrm { m } \sqrt { 3 } } { \pi }
C) dydt=πm3\frac { \mathrm { dy } } { \mathrm { dt } } = \frac { - \pi } { \mathrm { m } \sqrt { 3 } }
D) dydt=3mπ\frac { d y } { d t } = \frac { - \sqrt { 3 } } { m \pi }

Correct Answer:

verifed

Verified

Unlock this answer now
Get Access to more Verified Answers free of charge

Related Questions

Unlock this Answer For Free Now!

View this answer and more for free by performing one of the following actions

qr-code

Scan the QR code to install the App and get 2 free unlocks

upload documents

Unlock quizzes for free by uploading documents