Evaluate s 1 C:l1=3/2 (1+3) 2 dz

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A: Note: As per our guidelines, we can solve the first three parts. Please repost the remaining parts.

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A: We use the process of mathematical induction

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Q: Solve the initial value problem y" + 1xy' -4y= 0, y(0) = 9, y'(0) = 0.

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Q: If T:P1→P1 is a linear transformation such that T(1+4x)=−1+2x  and  T(5+19x)=4−2x,  then T(−2−4x)=

A: Let  T:P1 to P1 is a linear transformation     T(1+4x)=-1+2x      T(5+19x)=4-2xClaim : find T(-2-4x)

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Q: question six:  Find the equation of the line joining the points (4, -3) and (-2, 7).

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Q: Which of the following transformations are linear? Select all of the linear transformations. There…

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Q: 8 a) Differentiate the function Q(p) = -25√/p³ (e- VP - P b) Hence or otherwise, determine Q'(1).

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Q: 2. Let V₁ a. 14 -2' b. V₂ = " 16 10 spanned by B. Note that B is an orthogonal set. -49- 35 7 -28_…

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Q: H E B D A F Find any Euler circuit on the graph above. Give your answer as a list of vertices,…

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Q: 4. (i) Show that 2 is a primitive root mod 11² = 121. Hint: Use the criterion given by Lemma 6.4 and…

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A: This is called as the Chinese Remainder Theorem

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Q: 1. Given that Pn(x) flrol+flro, z1](z-ro) + a₂(x-xo)(x-T₁) +as(x − To) (x − x₁)(x − x₂) + ......+ an…

A: Let  be the values of  corresponding to the arguments . Then from the definition of dividend…

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A: The region is defined by

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A: Here we have to find the p(x) and q(x) that are basis of given vector space.

Q: Linear algebra: please solve q18 correctly and handwritten. Theoram is also attached

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