knightwandererx21
knightwandererx21 knightwandererx21
  • 23-07-2021
  • Mathematics
contestada

If the volume of the expanding cube is increasing at the rate 24 cm3 / min , how fast is its surface area increasing when the surface area is 216 cm2 ?​

Respuesta :

Аноним Аноним
  • 01-08-2021

Answer:

16 cm^2/min

Step-by-step explanation:

dV/dt=24

V=a^3, differentiate with respect to t

dV/dt=3a^2*da/dt, a^2*da/dt=8

S=6a^2, 216=6a^2. a=6. da/dt=(8/36)

dS/dt=12*a*da/dt=12*(8/6)=16 cm^2/min

Answer Link

Otras preguntas

A group of 7 campers has 4 hours to hike to a lighthouse and back before sundown. the lighthouse is 28 meters high. it is located 12 kilometers from camp. how f
26-38+(-3) what is the answer.
Solve the formula for the bold variable. V=lWh W- is the bold variable
When an entrepreneur starts a business, there is a risk that the business will fail. Which of the following best explains why an entrepreneur would want to star
In which stages of meiosis are the chromosomes considered tetrads?
Daniel income tax rate is 15% if he made 32,000 this year what will his pay be in taxes this year
According to social theorist randall collins, getting a "piece of paper" is more important to many than actually having the knowledge to do a job. he calls the
ann took a taxi home from the airport. the taxi fare was $2.10 per mile and she gave the driver a $5 tip. Ann paid a total of $49.10. What is an equation to det
PLZ HELP ME 2(4x-3)-8=4+2K
how many grams of mercury are present in a barometer that holds 6.5 ml of mercury