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Consider the parametrized 2-manifold X: [1, 3] [0, 2) R4, X(s, t) = ( s cost, 4 s sin t

Vector Calculus | 4th Edition | ISBN: 9780321780652 | Authors: Susan J. Colley ISBN: 9780321780652 319

Solution for problem 14 Chapter 8.2

Vector Calculus | 4th Edition

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Vector Calculus | 4th Edition | ISBN: 9780321780652 | Authors: Susan J. Colley

Vector Calculus | 4th Edition

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14
1
Problem 14

Consider the parametrized 2-manifold X: [1, 3] [0, 2) R4, X(s, t) = ( s cost, 4 s sin t, s sin t, 4 s cost). Find X x 2 2 + x 2 4 dx1 dx3 2x 2 1 + 2x 2 3 dx2 dx4.

Step-by-Step Solution:
Step 1 of 3

Chapter 18 Definitions  Probability model- all possible outcomes Ex. If you toss a coin 3 times. What is the chance it lands on tails (2^3=8) ANSWER: 8 Sample space - unique outcome Ex. When tossing a coin a unique outcome would be either heads or tails. Sample space= head (H) Tails (T) Event - collection of outcome Probability Rules Rule 1 : probability must be a number between 0 and 1 Rule 2: all possible outcome must = 1 *if it passes both rules 1&2 it’s legitimate Rule 3 AKA compliment rule: if the question ask what is the probability that the event doesn’t occur Use this Formula: 1 - probability the event WILL Occur Probability = numerical (has to be a number) Ex. Probability of dog losing the race is .40, what is th

Step 2 of 3

Chapter 8.2, Problem 14 is Solved
Step 3 of 3

Textbook: Vector Calculus
Edition: 4
Author: Susan J. Colley
ISBN: 9780321780652

The full step-by-step solution to problem: 14 from chapter: 8.2 was answered by , our top Calculus solution expert on 03/05/18, 06:59PM. This full solution covers the following key subjects: . This expansive textbook survival guide covers 47 chapters, and 1691 solutions. This textbook survival guide was created for the textbook: Vector Calculus, edition: 4. Vector Calculus was written by and is associated to the ISBN: 9780321780652. Since the solution to 14 from 8.2 chapter was answered, more than 223 students have viewed the full step-by-step answer. The answer to “Consider the parametrized 2-manifold X: [1, 3] [0, 2) R4, X(s, t) = ( s cost, 4 s sin t, s sin t, 4 s cost). Find X x 2 2 + x 2 4 dx1 dx3 2x 2 1 + 2x 2 3 dx2 dx4.” is broken down into a number of easy to follow steps, and 46 words.

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Consider the parametrized 2-manifold X: [1, 3] [0, 2) R4, X(s, t) = ( s cost, 4 s sin t