Given 2y + 1.6y = 5x, y(0) = 0.4. Using Heun's method with a step size of h = 1.5, find the following. Estimated value of y(1.5) = Estimated value of y(3) =

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Q: Given ƒ"(x) = 7x +5 and ƒ'(0) = −2 and ƒ(0) = 1. Find f'(x) and find ƒ(4) =

A: Given,this is the required answer of the given question

Q: 2. Assume that Σak <∞, prove that are converges uniformly on [-1,1].

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Q: Find the change of basis matrix [B]. {0}{000) C = B = -2 -3 2 -2 -31 2 4 5 -3

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Q: 4. Determine the inverse L a) F(s) = 4 (s− 3)² +9

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Q: 1. Prove by mathematical induction that n(n+1) (a) 1+ 2+ + 12 = 2 (b) 1+3+5++ (2n-1) = n²…

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Q: Hello, hoe about #2

A: The given function is in branch We can find Laplace transform by defination .

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Q: о усп) =X(=) 2) усл) =X(rn) з усп) =X(и-zn) Дусп) = x(n=-2n-1)

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Q: ty"-ty' + y = 2, y(0) = 2, y'(0) = -4

A: Given the DE .We will use the following formulas after applying the Laplace transformation.

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Q: The left Riemann sum is supposed to be 275.02041 but I don't know why? I also got 280.16326.

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Q: (a) For which values of p does the integral 1 de converge?

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Q: a. f(x + y) = -5x-5y, 6x+6y, 5x+5y f(x) + f(y) = -5x, 6x, 5x + -5y,6y, 5y Does f(x + y) = f(x) +…

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Q: and Assume |A| = 16, |B|=18, |C| = 28. If , how much is given |AnB| = 7 |AnC| = 11 |BC| = 8 AUBUC…

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Q: Exercise 10.4.6 Consider the linear transformation T: P3 → P3 given by T (p(x)) = p(x+1). Find…

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Q: 5 Estimate the area between the function h(x) = + 5 and the x-axis on the interval [3, 7] using 4…

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