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State DeMorgan's law. Prove it using the truth table.
Ans: DeMorgan's law defines that
(i) (x ∨ y)' = x' ∧ y'
(ii) (x ∧ y)' = x' ∨ y'
Now let us draw truth table for the two statements
It is clear from the truth table that column (3) is equal to column (4). Likewise column (5) is equal to column (6).
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Derivatives of Inverse Trig Functions : Now, we will look at the derivatives of the inverse trig functions. To derive the derivatives of inverse trig functions we'll required t
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3/4=x/23.
Draw the direction field for the subsequent differential equation. Draw the set of integral curves for this differential equation. Solution: y′ = y - x To draw direct
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