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For the following questions answer them individually
In a resonance pulse inverter:
The vectors $$x_1 = (1, 2, 4), x_2 = (2, -1, 3), x_3 = (0, 1, 2), x_4 = (-3, 7, 2)$$ are
Characteristic roots of matrix $$A$$ and $$A^T$$ will be
The minimum point of the function $$\left(\frac{x^3}{3}\right) - x$$ is at
The area bounded by the curves $$y^2 = 9x, x - y + 2 = 0$$ is given by
The integrating factor of equation $$\sec^2 y \frac{dy}{dx} + x \tan y = x^3$$ is
An urn contains 5 black and 5 white balls. The probability of drawing two balls of the same colour
Ten percent of screws produced in a certain factory turn out to be defective. Find the probability that in a sample of 10 screws chosen at random, exactly two will be defective.
The Equation $$x^3 - x^2 + 4x - 4 = 0$$ is is to be solved using the Newton-Raphson method. If $$x = 2$$ is taken as the initial approximation of the solution, then the next approximation using the method will be
The unique polynomial P(x) of degree 2 such that: P(1) = 1, P(3) = 27, P(4) = 64 is
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