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.IfFrank şells his stock then stock prices are high but if stock prices are low then he buys stock. Frank gets a dividend check if stock prices are either high or low. If Frank buys stock then the stock exchange is open. The stock exchange is not open. Therefore, either Frank does not sell his stock or he gets a dividend check.

.IfFrank şells his stock then stock prices are high but if stock prices are low then he buys stock. Frank gets a dividend check if stock prices are either high or low. If Frank buys stock then the stock exchange is open. The stock exchange is not open. Therefore, either Frank does not sell his stock or he gets a dividend check.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Solve 41 and 43 just indirect method
**Page 130 - Arguments** For Problems 41-44, express each argument symbolically. Then determine if the argument is valid or invalid. If it is invalid, produce a counterexample chart. 41. If Frank sells his stock then stock prices are high but if stock prices are low then he buys stock. Frank gets a dividend check if stock prices are either high or low. If Frank buys stock then the stock exchange is open. The stock exchange is not open. Therefore, either Frank does not sell his stock or he gets a dividend check. 42. If Jean majors in biochemistry, then she must take organic chemistry and anatomy. If Jean takes organic chemistry, she must first take inorganic chemistry. If she majors in physics, she must take inorganic chemistry and vector analysis. Jean will major in either biochemistry or physics. Therefore, Jean will have to take either inorganic chemistry or vector analysis. 43. If a brain is human, then it consists of about 100 billion neurons and is composed of 60% fat. If the cerebrum is not the largest part of a brain, then the brain is not human. Therefore, if a brain is not composed of 60% fat, then either the cerebrum is not the largest part of a brain or it has about 100 billion neurons. 44. If the program is run, the computer prints headings and the data is read. The withholding routine is performed if there is tax due. If data is read, then the computer performs the calculation routine. Therefore, if the program is run and there is no tax due, the withholding routine is performed. --- **Did You Know?** There are 293 different ways to make change for one US dollar! Can you think of three of these ways?
Transcribed Image Text:**Page 130 - Arguments** For Problems 41-44, express each argument symbolically. Then determine if the argument is valid or invalid. If it is invalid, produce a counterexample chart. 41. If Frank sells his stock then stock prices are high but if stock prices are low then he buys stock. Frank gets a dividend check if stock prices are either high or low. If Frank buys stock then the stock exchange is open. The stock exchange is not open. Therefore, either Frank does not sell his stock or he gets a dividend check. 42. If Jean majors in biochemistry, then she must take organic chemistry and anatomy. If Jean takes organic chemistry, she must first take inorganic chemistry. If she majors in physics, she must take inorganic chemistry and vector analysis. Jean will major in either biochemistry or physics. Therefore, Jean will have to take either inorganic chemistry or vector analysis. 43. If a brain is human, then it consists of about 100 billion neurons and is composed of 60% fat. If the cerebrum is not the largest part of a brain, then the brain is not human. Therefore, if a brain is not composed of 60% fat, then either the cerebrum is not the largest part of a brain or it has about 100 billion neurons. 44. If the program is run, the computer prints headings and the data is read. The withholding routine is performed if there is tax due. If data is read, then the computer performs the calculation routine. Therefore, if the program is run and there is no tax due, the withholding routine is performed. --- **Did You Know?** There are 293 different ways to make change for one US dollar! Can you think of three of these ways?
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