New Exam Prep
Full explanation, worked examples & memory tricks in the app
New Exam Prep
English 10 leveled MCQs Free
Shared by a Veda learner · Generated with Veda AI
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Sample questions with model answers
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10 marks Long answer
Apply Runge-Kutta method of order 4 to find the approximate value of y for $x = 0.2$, in step of $h=0.1$ if $ rac{dy}{dx} = x + y^2$, $y = 1$ when $x=0$.
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Use the Runge-Kutta method to compute $y(0.2)$.
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7 marks Long answer
Explain Euler's method for finding the approximate solution $y(x)$.
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Euler's method approximates solutions of differential equations using iterative steps based on the slope.
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6 marks Long answer
Apply Regula Falsi method to find the real root of the equation $3x - \cos x - 1 = 0$.
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Use the Regula Falsi method iteratively to approximate the root.
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6 marks Long answer
Apply Newton's Forward interpolation formula to find number of students who obtained marks between 40 and 45 from the following data.
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Use Newton's Forward interpolation on the provided frequency data.
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6 marks Long answer
Apply Newton-Raphson's method to find the real root of the equation $xe^x = 2$ by taking suitable initial approximation.
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Iterate using the Newton-Raphson formula to find the root.
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6 marks Long answer
Apply Lagrange's interpolation formula to find f(x) from the data. Hence, find f(3.5).
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Use Lagrange's formula to interpolate and evaluate at $x=3.5$.
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4 marks Medium answer
Find the mean and median of the data set. 15, 13, 9, 9, 7, 1, 11, 10, 13, 1, 13.
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Mean = 9.09, Median = 9.
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4 marks Medium answer
Write a short note on Discrete Probability distribution function.
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A discrete probability distribution function assigns probabilities to discrete outcomes.
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4 marks Medium answer
From the following table, find the values of $ rac{dy}{dx}$, $ rac{d^2y}{dx^2}$ at $x = 2.02$.
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Use finite difference methods to estimate derivatives at $x=2.02$.
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2 marks Short answer
Find the mean of the Poisson distribution.
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The mean of a Poisson distribution is equal to its parameter $\lambda$.
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