The dimensions x and y of an object are related to its volume V by the formula Upper V equals 12 x squared y. a. How is StartFraction dV Over dt EndFraction related to StartFraction dy Over dt EndFraction if x is constant? b. How is StartFraction dV Over dt EndFraction related toStartFraction dx Over dt EndFraction if y is constant? c. How is StartFraction dV Over dt EndFraction related toStartFraction dx Over dt EndFraction and StartFraction dy Over dt EndFraction if neither x nor y is constant?

Question

Magdalena Hampton

3 October, 14:29

+3

Answers (1)

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Kyson Erickson · Answer 1

Step-by-step explanation:

V = 12*x²*y

a) DV/Dt = 12*x²*Dy/Dt

b) DV/Dt = 24*x*y*Dx/Dt

c) DV/Dt = 24*x*y*Dx/Dt * 12x²Dy/Dt