EBK EXCURSIONS IN MODERN MATHEMATICS
EBK EXCURSIONS IN MODERN MATHEMATICS
9th Edition
ISBN: 8220103632034
Author: Tannenbaum
Publisher: PEARSON
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Chapter 12, Problem 49E
To determine

a)

To complete:

The given table.

To determine

b)

To find:

The volume of Menger sponge.

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For the system consisting of the two planes:plane 1: -x + y + z = 0plane 2: 3x + y + 3z = 0a) Are the planes parallel and/or coincident? Justify your answer. What does this tell you about the solution to the system?b) Solve the system (if possible). Show a complete solution. If there is a line of intersection express it in parametric form.
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Question 2: (10 points) Evaluate the definite integral. Use the following form of the definition of the integral to evaluate the integral: Theorem: Iff is integrable on [a, b], then where Ax = (ba)/n and x₂ = a + i^x. You might need the following formulas. IM³ L² (3x² (3x²+2x- 2x - 1)dx. n [f(z)dz lim f(x)Az a n→∞ i=1 n(n + 1) 2 n i=1 n(n+1)(2n+1) 6

Chapter 12 Solutions

EBK EXCURSIONS IN MODERN MATHEMATICS

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