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

The scale factor from the model of a human inner ear to the actual ear is 55:2. If one of the bones of the model is 8.25 centimeters long, how long is the actua
Which of these statements is true of both journals and diaries? a. They are objective. b. They have a third-person narrator. c. They include many points of v
a box 5 cm long, 4 cm wide and 6 cm high would have what volume?
Name the process inanimals which require meiosis to take place
Most of the evidence we have about early humans comes from _____.
Iron (III) Chloride is mixed with silver sulfite. Write the correct products and then balance the equation. What's the correct product?
Which of the following fractions is the largest? a. 10/13 b. 11/14 c. 14/15 d. 17/18
what are poloygons and paralelograms?
How much is (2^2)<<1
In which state did ratification win only by a small margin after a long struggle? a. Georgia b. Delaware c. Virginia d. New Jersey