General Questions Set 13:
If dy/dx = y + 3 > 0 and y(0) = 2, then y(ln 2) =?
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A real (4*4) matrix A satisfies the equation A2=I, where I is the (4*4) identity matrix. The positive eigenvalue of A is
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Find the magnitude of the resultant of the vectors A = 2i + 3j and B = 3i + 4j, which are acting in the same direction.
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Using Cauchy's integral theorem, the value of the integral ∮ (z^3 - 6)/(3z - i) dz is (where the integral is along the closed curve |z| = 1)
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Find the value of c if the function f(x) = x(x-3)e^(3x) is continuous over the interval [0, 3] and differentiable over the interval (0, 3), and c is in the range (0, 3).
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If the differential equation and its solution is y''(x) + a y'(x) + b y = 0, y = p.e^(-x) + q.e^(-3.x), then the values of a and b are:
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An arrow helicopter of the enemy is flying along the curve given by y = x2 + 7. A soldier, placed at (3,7), wants to shoot down the helicopter when it is nearest to him. Find the nearest distance.
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The equation |z+a| = r represents which type of geometric figure?
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Natasha and Priya are twins. Natasha has bought 4 English books and 2 Physics books, while Priya has bought 3 English books and 5 Physics books. Their brother, Amar, is mischievous and hides one book from Natasha's bag and another from Priya's bag. Find the probability that both the books hidden by Amar are English books.
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Which of the following statements about square matrices is NOT true?
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