 | William Nicholson - Natural history - 1809 - 700 pages
...the number of parts, they will be equal. Ex. 3. Given x -f- y -(- z = a, and xf z1 a maximum, to find x, y, z. As x, y, z, must have some certain determinate...and z vary till they answer the conditions, and then x -\- x, = 0 and 2' x + 3 x z' z •=. 0 ; hence, x = — z = — 1~T— = — '——-• .'. = =... | |
 | William Nicholson - 1809 - 752 pages
...the number of parts, they will be equal. Ex. 3. Given x -f- у + z = a, and xy*zl a maximum, to find x, y, z. As x, y, z, must have some certain determinate...answer these conditions, let us suppose such a value of у to remain constant, whilst x and : vary till they answer the conditions, and then x -j- а = 0 and... | |
 | William Nicholson - Natural history - 1819 - 408 pages
...number of parts, they wiH be equal. £x. 3. Given x -f- y + z — a, and xt/: z; a maximum, to find x, y, z. As x, y, z, must have some certain determinate...and z vary till they answer the conditions, and then l. + z = 0 and :' x -f- 3 x z' z = 0; heocr, 3xz'i 3xi ---' — = -' •'- 2 = 3 x. Now let us suppose... | |
 | Electronic journals - 1928 - 606 pages
...writer, Vince,1 solves the problem, given x+y+z = a and a^z* a maximum, to find x, y, z. Vince says: "Let us suppose such a value of y to remain constant, whilst x and 2 vary till they answer the conditions, and then x+z = 0 and z3x+3xz*z = Q. . . . Now let us suppose... | |
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Given x -f- y + z — a, and xt/: z; a maximum, to find x, y, z. As x, y, z, must have some certain determinate values to answer these conditions, let us suppose such... 