| John Minot Rice, William Woolsey Johnson - Differential calculus - 1875 - 102 pages
...equal to zero, and corresponds to an infinite value of f(x). 14. The lower corner of a leaf of a book is folded over so as just to reach the inner edge of the page; find when the crease thus formed is a minimum. Let y denote the length of the crease, x the distance of... | |
| John Minot Rice, William Woolsey Johnson - Differential calculus - 1880 - 464 pages
...greatest possible volume. The radius of the base = \a ^6. •/ 20. The lower corner of a leaf of a book is folded over so as just to reach the inner edge of the page ; find when the crease thus formed is a minimum. Solution : — Let_y denote the length of the crease, x the... | |
| John Minot Rice, William Woolsey Johnson - Differential calculus - 1880 - 486 pages
...greatest possible volume. The radius of the base = $a V6. 20. The lower corner of a leaf of a book is folded over so as just to reach the inner edge of the page ; find when the crease thus formed is a minimum. Solution .— Let.)' denote the length of the crease, x the... | |
| George Abbott Osborne - Calculus - 1891 - 316 pages
...and b, such that the part intercepted by the axes is a minimum. Show that its length is a + b. 22. The lower corner of a leaf, whose width is a, is folded...page. Find the width of the part folded over, when the length of the crease is a minimum. Ans. fa. 23. In the preceding example, find when the area of... | |
| James McMahon, Virgil Snyder - Differential calculus - 1898 - 368 pages
...sphere. Ex. 19. Find the shortest distance from the point (2, 1) to the parabola y 2 = 4 x. Ex. 20. The lower corner of a leaf, whose width is a, is folded...page; find the width of the part folded over when the length of the crease is a minimum. Ex. 21. A tangent is drawn to the ellipse whose semi-axes are... | |
| George Abbott Osborne - Calculus - 1899 - 332 pages
...and b, such that the part intercepted by the axes is a minimum. Show that its length is a + b. 22. The lower corner of a leaf, whose width is a, is folded over so as just to reach the iniier edge of the page. Find the width of the part folded over, when the length of the crease is a... | |
| George Alexander Gibson - Calculus - 1901 - 492 pages
...the sum of the projections upon it of the two sides which meet at that vertex may be a maximum. 10. The lower corner of a leaf, whose width is a, is folded...page ; find the width of the part folded over when the length of the crease is a minimum. 11. A ship sails from a given place A in a given direction AB... | |
| George Alexander Gibson - Calculus - 1901 - 490 pages
...(he sum of the projections upon it of the two sides which meet at that rertex may be a maximum. 10. The lower corner of a leaf, whose width is a, is folded...inner edge of the page ; find the width of the part 'olded over when the length of the crease is a minimum. 11. A ship sails from a given place A in a... | |
| Actuarial Society of America - Life insurance - 1918 - 430 pages
...MO) -- ""* ~ 16. (a) Find the value of - j - when x = 0. (6) The lower corner of the page of a book, whose width is a is folded over so as just to reach...page. Find the width of the part folded over when the length of the crease is a minimum. 17. (a) Show geometrically that if f(x) and f'(x) are continuous... | |
| William Anthony Granville - Calculus - 1904 - 490 pages
...in order that the best possible light shall fall on a walk along the circumference of the plot ? 45. The lower corner of a leaf, whose width is a, is folded over so as just to reach the inner edge of page, (a) Find the width of the part folded over when the length of the crease is a minimum, (b) Find... | |
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