GATE EE 2023 | Numerical Methods Question 2 | Engineering Mathematics

GATE EE 2023

Numerical

-0.33

Three points in the x-y plane are ($$-$$1, 0.8), (0, 2.2) and (1, 2.8). The value of the slope of the best fit straight line in the least square sense is _________ (Round off to 2 decimal places).

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GATE EE 2015 Set 1

MCQ (Single Correct Answer)

-0.3

If a continuous function $$f(x)$$ does not have a root in the interval $$\left[ {a,b} \right],\,\,$$ then which one of the following statements is TRUE?

$$f\left( a \right).\,f\left( b \right) = 0$$

$$f\left( a \right).f\left( b \right) < 0$$

$$f\left( a \right).f\left( b \right) > 0$$

$$f\left( a \right)/f\left( b \right) \le 0$$

GATE EE 2014 Set 3

Numerical

-0

The function $$f\left( x \right) = {e^x} - 1\,\,$$ is to be solved using Newton $$-$$ Raphson method. If the initial value of $${x_0}$$ is taken $$1.0,$$ then the absolute error observed at $${2^{nd}}$$ iteration is ___________.

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GATE EE 2013

MCQ (Single Correct Answer)

-0.3

When the Newton-Raphson method is applied to solve the equation $$\,\,f\left( x \right) = {x^3} + 2x - 1 = 0,\,\,$$ the solution at the end of the first iteration with the initial value as $${x_0} = 1.2$$ is

$$-0.82$$

$$0.49$$

$$0.705$$

$$1.69$$

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GATE EE Subjects

Electromagnetic Fields

Time Varying Fields Electrostatics Magnetostatics

Signals and Systems

Linear Time Invariant Systems Continuous and Discrete Time Signals Continuous Time Signal Fourier Transform Continuous Time Periodic Signal Fourier Series Discrete Time Signal Z Transformation Miscellaneous Continuous Time Signal Laplace Transform Sampling Theorem

Engineering Mathematics

Linear Algebra Differential Equations Calculus Probability and Statistics Numerical Methods Vector Calculus Transform Theory Complex Variable