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Week 5: Practice HW 5: 7.7-7.8, 8.1-8.2 (Homework) MATH 115, section B10, Fall 2018
Instructor: Ethan Smith
Current Score : Due : Monday, October 1 2018 11:57 PM EDTLast Saved : n/a Saving...
The due date for this assignment is past. Your work can be viewed below, but no changes can be made.
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1. 0.45/0.45 points | Previous AnswersAufExc4 7.7.023.MI.
The following formula can be used to convert the Euclidean distance between the points P and Q to the city distance between P
and Q. In this formula, the variable m represents the slope of the line segment PQ.
1 + |m|
dC(P, Q) = dE(P, Q)
1 + m2
Use the above formula to find the city distance between P and Q.
2
dE(P, Q) = 29 blocks, slope of PQ = −
5
7
2. 0.45/0.45 points | Previous AnswersAufExc4 7.8.014.
Compute the similarity dimension of the fractal. Round to the nearest thousandth.
1.771
The Sierpinski carpet, variation 2, defined by the following stages.
, 3. 0.45/0.45 points | Previous AnswersAufExc4 7.8.018.MI.
Compute, if possible, the similarity dimension of the fractal. Round to the nearest thousandth.
The cube fractal
3
4. 0.45/0.45 points | Previous AnswersAufExc4 7.7.029.
Plot the points in the city circle with center (−4, −2) and radius r = 2 blocks.
Submission Data
Week 5: Practice HW 5: 7.7-7.8, 8.1-8.2 (Homework) MATH 115, section B10, Fall 2018
Instructor: Ethan Smith
Current Score : Due : Monday, October 1 2018 11:57 PM EDTLast Saved : n/a Saving...
The due date for this assignment is past. Your work can be viewed below, but no changes can be made.
Important! Before you view the answer key, decide whether or not you plan to request an extension. Your Instructor may not grant you an extension if you have
viewed the answer key. Automatic extensions are not granted if you have viewed the answer key.
Request Extension
1. 0.45/0.45 points | Previous AnswersAufExc4 7.7.023.MI.
The following formula can be used to convert the Euclidean distance between the points P and Q to the city distance between P
and Q. In this formula, the variable m represents the slope of the line segment PQ.
1 + |m|
dC(P, Q) = dE(P, Q)
1 + m2
Use the above formula to find the city distance between P and Q.
2
dE(P, Q) = 29 blocks, slope of PQ = −
5
7
2. 0.45/0.45 points | Previous AnswersAufExc4 7.8.014.
Compute the similarity dimension of the fractal. Round to the nearest thousandth.
1.771
The Sierpinski carpet, variation 2, defined by the following stages.
, 3. 0.45/0.45 points | Previous AnswersAufExc4 7.8.018.MI.
Compute, if possible, the similarity dimension of the fractal. Round to the nearest thousandth.
The cube fractal
3
4. 0.45/0.45 points | Previous AnswersAufExc4 7.7.029.
Plot the points in the city circle with center (−4, −2) and radius r = 2 blocks.
Submission Data
