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Both "um zu" and "damit" are used to express a goal, a purpose.

The question asked before often starts with "Wofür", "Wozu?", "Mit welchem Ziel?". ...

First of all differentiate the equation of the curve implicitly, giving:

3x²-8y(dy/dx)=12y+12x(dy/dx)

=> (dy/dx)(12x+8y)=3x²-12y

=> dy/dx=(3x²-1...

Glycolysis is the process by which cells create ATP from glucose. It occurs in all cells. Glycolysis is an anaerobic process, which, means it may occur even without oxygen. Glucose is converted to 2 molec...

Nouns of the second declension are normally masculine or neuter. 

Masculine:

Singular:

nominative: -us 

genitive: -i 

dative: -o

accusative: -um

vocative: ...

advantages:
it's useful where no other treatment is available or when the patient's near to death
it extends a lifespan

disadvantages:
there's a low success rate
the device ...