Derivative with respect to x: 
Derivative with respect to y: 
Derivative with respect to z: 
Step-by-step explanation:
We can calculate three derivatives for this function: the derivative with respect to x, the derivative with respect to y, and the derivative with respect to z.
We start with the derivative with respect to x:

Then we calculate the derivative with respect to y:

Finally, we calculate the derivative with respect to z:

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Answer:
7.5
Step-by-step explanation:
If 'quter' is quarter, then 30(1/4) is 7.5
The volume of the tank is (70 cm)³ = 343,000 cm³.
Now,
1 mL = 1 cm³
1 L = 1000 mL
so we convert the given rate to

Then the time it will take to fill up the tank is

Answer:
Correct answer: V₁ boat = 16 km/h and V₂ current = 4 km/h
Step-by-step explanation:
If we take speed (velocity) of the boat as V₁ and speed of the current V₂
Let us form equations:
Traveling down the current V₁ + V₂ = 60/3 = 20 km/h
Traveling against the current V₁ - V₂ = 60/5 = 12 km/h
V₁ - V₂ = 12
V₁ + V₂ = 20
If we add up the left and right sides of the equations we get:
2 V₁ = 32 => V₁ = 32/2 = 16 km/h
from the second equation we get:
V₂ = 20 - V₁ = 20 - 16 = 4 km/h
V₂ = 4 km/h
God is with you!!!
Answer:
10
Step-by-step explanation: