 | 1859 - 414 σελίδες
...value of u. 1 + x tan. x, Find the value of x, when u ia a maximum. 7. A person being in a boat three miles from the nearest point of the beach, wishes to reach in the shortest time a place five miles from that point along the shore, supposing he can walk five miles an hour, but pull only... | |
 | Edward Olney - 1871 - 394 σελίδες
...the revolution of an ellipse about its 2 transverse axis. The axis of the cylinder = —pA. Ex. 14. A person being in a boat 3 miles from the nearest...shore ; supposing he can walk 5 miles an hour, but pnll only at the rate of 4 miles an hour, p XA required the place where he must land. giro's. — Let... | |
 | Michael Marlow Umfreville Wilkinson - 1871 - 234 σελίδες
...Arts. 101 to 107. Ex. (Todhunter, Differential Calculus, XIII. Ex. 27.) "A person being in a boat Ъ miles from the nearest point of the beach, wishes to reach in the shortest time a place с miles from that point along the shore ; supposing he can walk и miles an hour, but pull only at... | |
 | Isaac Todhunter - 1873 - 452 σελίδες
...y* - ic*yx + x* = 0. x — cf/3 makes у = с ^(27) a maximum. x = - с ^3 makes y = — с -7(27) a minimum. 27. A person being in a boat 3 miles from...shore : supposing he can walk 5 miles an hour, but row only at the rate of 4 miles an hour, required the place where be must land. One mile from the place... | |
 | Edward Albert Bowser - 1880 - 424 σελίδες
...19. Find the fraction that exceeds its m"1 power by the greatest possible quantity. / 1 \¿r \mf 20. A person being in a boat 3 miles from the nearest...shore ; supposing he can walk 5 miles an hour, but row only at the rate of 4 miles an hour, required the place he must land. One mile from the place to... | |
 | James Morford Taylor - 1884 - 270 σελίδες
...a cone of maximum volume, r being the radius of the circle- Ans. The arc = 2 тгr (I - $V6) . 10. A person, being in a boat 3 miles from the nearest...shore ; supposing he can walk 5 miles an hour, but row only at the rate of 4 miles an hour, required the place where he must land. Ans. l mile from the... | |
 | Isaac Todhunter - 1885 - 444 σελίδες
....8y3 makes y = — cy (27) a minimum. 27. A person being in a boat 3 miles from the nearest^ftoint of the beach, wishes to reach in the shortest time...shore : supposing he can walk 5 miles an hour, but row only at the rate of 4 miles an hour, required the place where he must land. One mile from the place... | |
 | Joseph Bayma - 1889 - 296 σελίδες
...sphere, so also is its total surface twice that of the sphere. V. A man being in a boat a miles distant from the nearest point of the beach, wishes to reach in the shortest time a place b miles from that point along the shore. Supposing that he can walk m miles an hour, but pull only... | |
 | Isaac Todhunter - 1890 - 440 σελίδες
...minimum value of y, when x = c \/3 makes ?/ = c ^(27) a maximum. x = — c /y3 makes y = —c \/(27) a minimum. 27. A person being in a boat 3 miles from...shore : supposing he can walk 5 miles an hour, but row only at the rate of 4 miles an hour, required the place where he must land. One mile from the place... | |
 | George Abbott Osborne - 1891 - 330 σελίδες
...the nth power of the other may be a maximum. Ans. The required parts are proportional to m and n. 7. A person being in a boat 3 miles from the nearest...shore ; supposing he can walk 5 miles an hour, but row only at the rate of 4 miles an hour, required the place he must land. -4ns. One mile from the place... | |
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A person being in a boat 3 miles from the nearest point of the beach, wishes to reach in the shortest time a place 5 miles from that point along the shore ; supposing he can walk 5 miles an hour, but row only at the rate of 4 miles an hour, required the... 
