 | Edward Henry Courtenay - Calculus - 1855 - 526 pages
...be obtained. CHAPTER X. MAXIMA AND MINIMA FUNCTIONS OF TWO INDEPENDENT VARIABLES. 96. A function u of two independent variables x and y, is said to be...all those other values obtained by replacing x by x ± A and y by y ± k, when h and k may take any values between zero and certain small but finite quantities... | |
 | Edward Henry Courtenay - Mathematics - 1856 - 524 pages
...obtained. CHAPTER X. • MAXIMA AND MINIMA FUNCTIONS OF TWO INDEPENDENT VARIABLES. 96. A function u of two independent variables x and y, is said to be...obtained by replacing x by x ± h and y by y ± k, when h and k may take any values between zero and certain small but finite quantities ; and u is said to... | |
 | Ronald J. Tallarida - Mathematics - 2008 - 288 pages
...the four orientations shown in Figures 4.5 and 4.6, the corresponding parabola with vertex (h, k) is obtained by replacing x by x - h and y by y - k. Thus, the parabola in Figure 4.7 has the equation 38 FIGURE 4.5 Parabolas with y-axis as the axis of... | |
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= - — . • . h = . 11 and a = 1 . 5 + . 11 = 1 . 61 16 nearly. And if we repeat the operation by putting x — 1 . 61, a nearer approximation will be obtained. CHAPTER X. • MAXIMA AND MINIMA FUNCTIONS OF TWO INDEPENDENT VARIABLES. 96. A function... 