If it exists, find Answer: x³ - ze²y lim (x,y,z) (-1,0,4) 6x + 2y3z' Write DNE, if the limit does not exist. [Show solution.]

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A: given

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A: The given integrals:a∫xx-25dxb∫te3t2dtWe will solve them using substitution.

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A: We have to solve the given differential equation.

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Q: 5. Calculate the area between the Curve fex) = 4-x² and y = 4, y = 2x_4? 20 GMS: S-U 3

A: To find the area bounded by the curves f(x)=4-x2, y=4, y=2x-4. The region bounded by the curves is:

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A: Given :Center : Z0=4+i

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A: Topic = Integration

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A: A detailed solution is given below.

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A: This question is related to derivative, we will solve it using given information.

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A: A detailed solution is given below.

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A: According to question,Given Function,fx = -2, 1, 1, 4, 2, 5, 3, 6gx = 6+4xhx = -x2 + 2

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A: See the details solution in below

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A: See this solution in below.

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Q: ·1₂ 3. 1³-x²+2-1 dz

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Q: 64 ans: su 3 6. Calculate the area between the Curve fcx) = x²³²_4 and the lines y=2x + 4 and y=0,…

A: area between curve

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Q: 13. Integral √x dx

A: Here we have to find the integral.

Q: Evaluate the integral using integration by parts. Scot-¹(8y)dy 1 Scot ¹(8y)dy = -x In (cos (6y)) + C

A: The given integral,       ∫cot-18ydy