Explanation Given: Let R 0 = [ 0 , 1 ] × [ 0 , 1 ] be the unit square. The translate of a map G 0 ( u , v ) = ( ϕ ( u , v ) , ψ ( u , v ) ) is a map G ( u , v ) = ( a + ϕ ( u , v ) , b + ψ ( u , v ) ) where a, b are constants. The map G 0 in the given figure maps R 0 to the parallelogram P 0 and that the translate G 1 = ( 2 + 4 u + 2 v , 1 + u + 3 v ) maps R 0 to P 1 . Calculation: The sketch of the parallelogram with the vertices ( 1 , 1 ) , ( 2 , 4 ) , ( 3 , 6 ) , ( 4 , 9 ) is as shown below: Consider the square R 0 with vertices ( 0 , 0 ) , ( 0 , 1 ) , ( 1 , 1 ) , ( 1 , 0 ) ...

4th Edition

ISBN: 9781319323394

Author: Rogawski

Publisher: MAC HIGHER

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Chapter 16.6, Problem 27E

To determine

To calculate:

The translate of a linear mapping that maps $R_{0}$ to P by sketching the parallelogram P with the vertices $(1, 1), (2, 4), (3, 6), (4, 9)$ .

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Chapter 16.6, Problem 26E

Chapter 16.6, Problem 28E

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Chapter 16 Solutions

CALCULUS W/SAPLING ACCESS >IC<

Ch. 16.1 - Prob. 1PQ Ch. 16.1 - Prob. 2PQ Ch. 16.1 - Prob. 3PQ Ch. 16.1 - Prob. 4PQ Ch. 16.1 - Prob. 5PQ Ch. 16.1 - Prob. 6PQ Ch. 16.1 - Prob. 1E Ch. 16.1 - Prob. 2E Ch. 16.1 - Prob. 3E Ch. 16.1 - Prob. 4E

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The translate of a linear mapping that maps R 0 to P by sketching the parallelogram P with the vertices ( 1 , 1 ) , ( 2 , 4 ) , ( 3 , 6 ) , ( 4 , 9 ) .

Solution Summary: The author calculates the translate of a linear mapping that maps R 0 to P by sketching the parallelogram P with the vertices.

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To calculate:

The translate of a linear mapping that maps $R_{0}$ to P by sketching the parallelogram P with the vertices $(1, 1), (2, 4), (3, 6), (4, 9)$ .

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Chapter 16 Solutions

The translate of a linear mapping that maps R 0 to P by sketching the parallelogram P with the vertices ( 1 , 1 ) , ( 2 , 4 ) , ( 3 , 6 ) , ( 4 , 9 ) .

Solution Summary: The author calculates the translate of a linear mapping that maps R 0 to P by sketching the parallelogram P with the vertices.

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To calculate: The translate of a linear mapping that maps R0to P by sketching the parallelogram P with the vertices (1,1),(2,4),(3,6),(4,9).

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Chapter 16 Solutions

To calculate:

The translate of a linear mapping that maps $R_{0}$ to P by sketching the parallelogram P with the vertices $(1, 1), (2, 4), (3, 6), (4, 9)$ .