Ask Question
10 April, 08:04

If the original 24 m edge length x of a cube decreases at the rate 5m/min, when x=3 at what rate does the cube's surface area change

+2
Answers (1)
  1. 10 April, 09:01
    0
    Let s be the surface area and t = time in minutes

    s=6x²

    d/dt (s) = d/dt (6x²)

    ds/dt=12x (dx/dt)

    given that x=3, then

    ds/dt=12 (3) (-5)

    ds/dt=-180m²/min

    b] Let the volume be v

    v=x³

    d/dt (v) = d/dt (x³)

    dv/dt=3x² (dx/dt)

    when x=3, then

    dv/dt=3 (3²) (-5)

    dv/dt=-135m³/min
Know the Answer?
Not Sure About the Answer?
Find an answer to your question ✅ “If the original 24 m edge length x of a cube decreases at the rate 5m/min, when x=3 at what rate does the cube's surface area change ...” in 📘 Mathematics if you're in doubt about the correctness of the answers or there's no answer, then try to use the smart search and find answers to the similar questions.
Search for Other Answers