Q2) Solve the following problem over the interval from x = 0 to 1 using a step size of 0.25 where y(0) = 1. dy = (1 + 4t) Vy dt (b) Euler's method. (c) Heun's method without iteration. (d) Ralston's method. (e) Fourth-order RK method.

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Q: A - 168 B -1 © D C) 0 168 4 Evaluate 6 7 8 12 12 18 14 21

A: Expanding in terms of 1st row we get; value= 4*(12*21-14*18)-8*(7*18-6*21)+12*(6*14-7*12) =  0 value…

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A: 1.  p→q  ¬p∴¬p 2.  p→¬q   r→q        r∴ ¬p 3.  If 7 is less than 4, then 7 is not a prime number.…

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A: To determine: Equation of the given sinusoidal graph. To find: Three x-intercepts shown.

Q: x = -2t Given: line ₁ = 1798 = 2 - 8 and l₂ = y = 2 + 2t 3 2 z = 6 + 2t 1. If the given lines…

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Q: Solve the following problems showing detailed solutions.Draw the complete figures for each…

A: The area bounded by: x=y3+3 , x=0, y=0 and y=2 The region is  (here eq1:x=y2+3 ,eq2:x=3, eq3:y=0,…

Q: S= dx X√x²+2x-1

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Q: ansform of s+5

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Q: State the principal of inclusion and exclusion. When is this used? Provide an example. 1. State the…

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Q: 4. f(x)= 3x5 + 5x³

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Q: Given that |a| = 20, find all left cosets of (a¹2) in (a).

A: This question from topic coset of group theory.

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Q: find square root of 10 using Newton raphson method

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Q: b) Consider the following metric: ds² = e²A(r) dt² - e²B(r) dr² — r² (d0² + sin² 0do²), with A(r)…

A: Solution :Consider the following 4D-curved spacetime metric.ds2 =…

Q: 4 8 12 Evaluate 6 12 18 7 14 21

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Q: 10. G(t) = t³ -1e-⁹ + 5(t − 1)² -

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Q: (5+j2)(3≤30º) (6 – j2)

A: Follow the steps.

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A: We have to interpolate f(1) using Newton's Divided Difference Formula.

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Q: the value of a and b. aº 55° bo 45°

A: The given lines are parallel Therefore use the result pair of alternate angles are equal

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Q: in a graph :is K-chromatic? give an examples

A: Please see the attachment

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Q: For what value(s) of k is the matrix not invertible? kk 0] k2 2 k 0 kk (A) -3 B C) 4 D -4 -5

A: Solution