A function is given by = f(x, y) = y²ex. Suppose x = Əz 3s+t2, y = st. Use Chain Rule to find the partial derivative Ət when S = -3, t = 3. ― 432 540 189 36e -3

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Q: SOLVE BY BERNOULLI dy + 1/3 y (+ -2x)y dx

A: The given differential equation is.It is a Bernoulli differential equation.Now,Let Then,

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Q: Q1: For v=2x²y + x2y-y³, check the function for Harmonic and then find f(z).

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Q: 3. Let TЄ L(C2) be a linear operator with only a single eigenvalue, λ = C. Show that p(T) = 0 €…

A: The proof is given using the properties of eigenvalue and eigenvectors.Explanation:Given:• T…

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A: Given .This can be rewritten asOn the xy−plane, , if  gives us hyperbolas on the xy−plane.

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Q: How many positive integers n less than or equal to 11,347 satisfy d(n) 1 (mod 2)?

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Q: SOLVE STEP BY STEP IN DIGITAL FORMAT 3. Solve the homogeneous differential equation " + 3y" - 4y = 0

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Q: Prove that this sequence is / is not Cauchy. .2 Хп xn xn+1 = a +b 2 1 + xn 1 + xn

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A: Root after 4 Iterations is  x=(-13/8+(-3/2))/2= -25/16=-1.5625.Explanation:To solve the equation…

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Q: Find the LU factorization of the matrix: A = 1 2 0 -1 -1 3 4]. 3 -2 -8 2 Show all the steps of your…

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A: (a) Showing that H is a subgroup of D4:A subgroup of a group is a subset of the group that itself…

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Q: 2. Verify that the set of functions {1, x, cos(x), sen(x)}forms a fundamental set of solutions of…

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Q: Consider the vector space P2. Represent = 2x²-3x-1 with respect to this basis. B (x+1,x1,x²+1)

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Q: Determine the root of f(x) = x³- 6x² + 11x - 6.1 with initial value x = 3.5,, perform 3 iterations…

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Q: ) If F(ƒ) = ƒ(§) is the Fourier transform of f(x), show that the Fourier transform of x f(x) is…

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Q: Use the secant method to find solutions to within 10^-4 for x^3 - 2x^2 - 5=0, [1,4]

A: 2.0946 and 2.0947  if you've any doubt comment below- Explanation:

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A: gu(0,0) = (6, 6) gv(0,0) = (4, 0).Explanation:We can calculate gu(0,0) and gv(0,0) using the partial…