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AP Calculus AB· difficulty 3/5

A box has L=6L = 6 m (growing at 11), W=4W = 4 m (constant), H=3H = 3 m (shrinking at 0.50.5). Volume changes at (m³/s)

  • A

    2424

  • B

    00

    check_circle
  • C

    33

  • D

    66

Explanation

V=LWHV = LWH, dV/dt=LWH+LWHdV/dt = L'WH + LWH' (with W=0W' = 0) =(1)(4)(3)+(6)(4)(0.5)=1212=0= (1)(4)(3) + (6)(4)(-0.5) = 12 - 12 = 0.

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