GATE 2007
Find the critical point x where the function f(x) = x^2 - 6x + 9 attains its minimum value.
In how many distinct ways can the letters of the word "MATHEMATICS" be arranged?
If events A and B are independent with P(A) = 0.4 and P(B) = 0.5, what is P(A ∪ B)?
What is the slope of the tangent to the curve y = x^3 - 3x + 2 at the point where x = 2?
What is the variance of a fair six-sided die roll outcome?
Which of the following propositional equivalences represents De Morgan's Law for disjunction?
If a 3 x 3 matrix has eigenvalues 2, 4, and 5, what is the determinant of this matrix?
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