3. Find the area of the band cut from the paraboloid x² + y? – z = 0 by the planes z = 2 and z = 6. (implicit0

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A: This question can be solved using the concept of convergence and definite integrals.

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Q: Is this series convergent or divergent?

A: This question can be solved using the concept of root test.

Q: c(x)=2x2-7x; c(0)=4,000

A: answer is in next step

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Q: In(arctan(x)) da 1+ x² 1

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A: f(x) has critical points at x=-7 , -2 , 7Since f''(-7), f''(-2) is positive ⇒There is local minimum…

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A: Given problem:- Find the volume of the following solid.   The tetrahedron bounded by the…

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A: Use trigonometric substitution,

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Q: Find the polar eauation for the curve represented by the given Cartesian eavation. Dy=-4x² 1.

A: We need to find polar equation.

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Q: Answer: dy = 3yCx'ty)

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Q: Simplify completely 4 Int dt using FTC-1. da e3z

A: This question can be solved using the concept of Fundamental Theorem of Calculus Part 1.

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Q: Write the partial fraction decomposition of the rational expression. Check your result…

A: For the repeated roots;the fractional decomposition can be writtenas:3x(x-3)2=A(x-3)+B(x-3)2A(x-3)+B…

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Q: Which of the following is the general solution of the separable equation, dy/dx = 12x³y? A. y =…

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Q: Integral

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Q: (-1)" x2n+1 En=0 (2n+1)! Given: sin x = for x ER Determine the exact value of the sum Σ (-1)"(2n +…

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Q: You are building a replacement trough for the company that built the faulty trough in the last…

A: This question can be solved using the concept of maxima and minima.