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Prove thatg: P2 P 3 defined as follows is linear. Find the kernel and range of g. Give

Linear Algebra with Applications | 8th Edition | ISBN: 9781449679545 | Authors: Gareth Williams ISBN: 9781449679545 435

Solution for problem 46 Chapter 4

Linear Algebra with Applications | 8th Edition

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Linear Algebra with Applications | 8th Edition | ISBN: 9781449679545 | Authors: Gareth Williams

Linear Algebra with Applications | 8th Edition

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Problem 46

Prove thatg: P2 P 3 defined as follows is linear. Find the kernel and range of g. Give bases for these subspaces. g{a2x 2 + a1x + a0) = (a2 - a1)x3 - a1x + 2a0

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Chapter 1.2.19 Definitions: Revenue (R) : What You Earn Cost (C) : What You Pay Profit: Revenue - Cost P = R - C Example: A Newspaper company sells high quality stories at a quick pace. The fixed cost for the newspaper paper is $70. The price to print a story is $0.39 per copy. What is the cost function 70- fixed cost 0.39- Marginal Cost X- Variable Cost Forming the function- C(x) =70 + 0.39X Marginal Cost: The increase in cost to sell one more copy Say we are given Revenue: R(x) =0.49X What would be the profit function What would be your profit P(X) = 0.49X - (70 + 0.39X) Solve! P(X) = 0.49X - (70 + 0.39X) = 0.49X - 70 - 0.39X = 0.10X - 70 Say there are 500 copies, What is your profit or loss of profit 50

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Chapter 4, Problem 46 is Solved
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Textbook: Linear Algebra with Applications
Edition: 8
Author: Gareth Williams
ISBN: 9781449679545

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Prove thatg: P2 P 3 defined as follows is linear. Find the kernel and range of g. Give