Question

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?

Answer 1

Answer:

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