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andreev551 [17]
3 years ago
10

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 StartFra

ction 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?
Mathematics
1 answer:
stepan [7]3 years ago
3 0

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

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Hi,

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"1. We assume, that the number 37.5 is 100% - because it's the output value of the task.  

2. We assume, that x is the value we are looking for.  

3. If 100% equals 37.5, so we can write it down as 100%=37.5.  

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6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

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Have a great day!

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