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Question 4 (4). We want to show that ex > 0 regardless if x is positive or negative. Supppone x. 30. Show that the smallest value that ex can take on is 1. So ero whenever 230 Suppose that xso so -x 40 From -x question 3 we know that exe²x = 1₂ -x Show that this means & must be positive. Finally, show that of est. Question 5. (5) Suppose is why it must be the case that. (exj^ = ex exe².. ex = ehx in time 4. natural number. Arque Hint: you if you know this is true from Question 2 h by x you get **. ** xx 2+26 replace = ?

Question 4 (4). We want to show that ex > 0 regardless if x is positive or negative. Supppone x. 30. Show that the smallest value that ex can take on is 1. So ero whenever 230 Suppose that xso so -x 40 From -x question 3 we know that exe²x = 1₂ -x Show that this means & must be positive. Finally, show that of est. Question 5. (5) Suppose is why it must be the case that. (exj^ = ex exe².. ex = ehx in time 4. natural number. Arque Hint: you if you know this is true from Question 2 h by x you get **. ** xx 2+26 replace = ?

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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Question 4 (4). We want to show that ex > 0 regardless of if x x is positive or negative. Suppose x. 30. Show that the smallest value that ex can take on is 1. So ero Question 5. (5) whenever 230 Suppose that xso so -x 40 From question 3 we know that exe²x = 1₂ -x -x Show that this means & must be positive. Finally, show that of est. Suppose why it must be the case that. (ex)^ = ex exe². e² = ex = ehx in time Hint: know this is true from Question 2 h x you get ex-xxx How is it true for cases where n=30² larger? if you replace by n is a natural number. Arque you
Transcribed Image Text:Question 4 (4). We want to show that ex > 0 regardless of if x x is positive or negative. Suppose x. 30. Show that the smallest value that ex can take on is 1. So ero Question 5. (5) whenever 230 Suppose that xso so -x 40 From question 3 we know that exe²x = 1₂ -x -x Show that this means & must be positive. Finally, show that of est. Suppose why it must be the case that. (ex)^ = ex exe². e² = ex = ehx in time Hint: know this is true from Question 2 h x you get ex-xxx How is it true for cases where n=30² larger? if you replace by n is a natural number. Arque you
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