Find the solution of the corresponding inhomogeneous system of equations: z+y+ 2z = 8 z+ 2y + 2z 2z + 2y+4z %3D 6. %3D 12 If there is no solution, answer none. If there are parameterized solutions, use z as the parameter.

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A: f(x) = 2x*(ln(cotx))2 here we use chain rule  d2x/dx = 2xln(2) d(u*v)/dx = vdu/dx +udv/dx…

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A: To evaluate the given integral using polar coordinates .

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A: Given

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A: Let's find.

Q: /2n?

A: The given series is: ∑n=1∞(-1)n(-1)n2n2+5=∑n=1∞(-1)2nn2+5n2=∑n=1∞1n2+5n2

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Q: ( sec' 0 tanede

A: Follow the procedure given below.

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A: T=Tx-yTyTo Find:a. Suppose T(4, 6)=320C and Tx(4, 6)=20C. Use the linearization of T at (4, 6)  to…

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A: The given function is; f(x)=tan(3x).

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A: I am going to solve the problem by using some simple calculus to get the required result of the…

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A: This is a telescoping series.  Whose sum is  2/π

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A: We will use root test.

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Q: If sin theta is (square root of (x^2 - 4)) divide by x, what is sin 2 theta?

A: It can be solved using trignometric formulas.

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A: I am going to solve the problem by using some simple calculus to get the required result of the…

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A: To solve the following problem

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A: We have to check whether the given series is convergent or divergent.

Q: I. Evaluate the following integrals. cln 2 e2" sec-'(e*)dx Jo #3.

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A: Answer : y=5sin(x/3)

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A: Given: fx=12-3sinx To find: ∫f(x)dx We know that, sinx = 2tanx21+tan2x2

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Q: Calculate the following limit: lim,1 a2+5x-6 x2-7x+6 O -7/5

A: we have to find the value of given limit limx→1 x2+5x-6x2-7x+6