Let D be the tetrahedron in the first octant bounded by the coordinate planes and the plane 6x + 3y + 2z = 6. a. Use an iterated triple integral to determine the volume of this tetrahedron.

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A: check contineous between [1,4] g(x) = 3 - x2 between 1 to 4 check for 1+ and 1- for 1- g(x) = 3…

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A: Given query is to find the direction derivative.

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A: Solution is given below

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A: The graph is shown below, where the chex region represent the required volume to find.

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A: Since the student has posted multiple questions and does not mention any specific question, so we…

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A: The given set S=3,5, 1,0, 0,1

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A: Use the formula for the conversion of the coordinate system.

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A: To find the sum of the positive divisor a)     40425 b)      2491

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Q: Find f 6x dx? А. х2 + с В. 2х2 + с c. +c D. Зx2 + C

A: This is a problem of indefinite integral. Based on the general formula we will answer the question.

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Q: +t, 2t +t, 6t} O sis a basis of P O sis not a basis of P3.

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Q: x(x + 8)(x – 2) and f"(x) = (x + 3)³ x3 – 4x? 8(7x – 4) Given: f(x) = · with f'(x) = (x + 2)2 (x +…

A: Given: f(x)=x3-4x2(x+2)2f'(x)=x(x+8)(x-2)(x+2)3f''(x)=8(7x-4)(x+2)4

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Q: Find the radius and interval of convergence for the series (n!)2 (2n)! (æ – 5)³n - n=1

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