 An open tank is to be constructed with a square base and vertical sides so as to contain a given quantity of water. Show that the expense of lining it with lead will be least if the depth is made half of the width.  Biomathematics - Page 178by William Moses Feldman - 1923 - 398 pagesFull view - About this book
 | Joseph Edwards - Differential calculus - 1886 - 540 pages
...Illustrate your answers by diagrams of the curve y = (x — af(x — b) in the three different cases. 52. An open tank is to be constructed with a square base...sides so as to contain a given quantity of water. Show that the expense of lining it with lead will be least if the depth is made half of the width.... | |
 | E. J. Brooksmith - Mathematics - 1889 - 356 pages
...conditions which must be satisfied in order that a given function of x may have a maximum or minimum value. An open tank is to be constructed with a square base...sides, so as to contain a given quantity of water. Shew that the expense of lining it with lead will be least if the depth is made half of the width.... | |
 | Joseph Edwards - Mathematics - 1892 - 550 pages
...answers by diagrams of the curve y = (x- af(x - V) in the three different cases. [I. c. S., 1879.] 41. An open tank is to be constructed with a square base...sides so as to contain a given quantity of water. Show that the expense of lining it with lead will be least if the depth is made half of the width.... | |
 | 1894 - 788 pages
...finding maximum and minimum values of a function of one independent variable. An open tank is to he constructed with a square base and vertical sides, so as to contain a given quantity of water. Shew that the expense of lining it with lead will be least if the depth is made half of the width.... | |
 | Joseph Edwards - Differential calculus - 1896 - 288 pages
...core to that of the covering. Show that the greatest speed is attained when this ratio is 1 : *Je. 9. An open tank is to be constructed with a square base...sides so as to contain a given quantity of water. Show that the expense of lining it with lead will be least if the depth is made half of the width.... | |
 | George Alexander Gibson - Calculus - 1901 - 490 pages
...formed by turning up the sides. Find the side of the square so that the box may have maximum content. 4. An open tank is to be constructed with a square base and vertical sides to hold a given quantity of water ; show that the expense of lining the tank with lead will be least... | |
 | William Holding Echols - Calculus - 1902 - 536 pages
...of minimum area. [/'bisects that side.] 22. The product xy is constant; when is x -(- y least ? 23. An open tank is to be constructed with a square base and vertical sides, and is to contain a given volume ; show that the expense of lining it with sheet lead will be least... | |
 | George Alexander Gibson - Algebra - 1904 - 204 pages
...17. Graph the equation y = x2 + !G/x for positive values of x, and find the minimum value of y. 18. An open tank is to be constructed with a square base and vertical sides to hold a given quantity of water ; show that the expense of lining the tank with lead will be least... | |
 | George Alexander Gibson, Peter Pinkerton - Geometry, Analytic - 1919 - 510 pages
...of a quadratic function the method explained in the Examples to § 95 will be found useful. Ex. 3. An open tank is to be constructed with a square base and vertical sides to hold a given quantity, a cub. ft., of water ; show that the expense of lining the tank with lead... | |
 | Huw Fox, William Bolton - Technology & Engineering - 2002 - 351 pages
...of 36 cm2. Determine the lengths of the sides which will give a minimum value for the perimeter. 26 An open tank is to be constructed with a square base and vertical sides and to be able to hold, when full to the brim, 32 m3 of water. Determine the dimensions of the tank... | |
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