a.
To find: the maximum depth of the River T on that day.
a.
Answer to Problem 49PPS
Maximum depth is
Explanation of Solution
Given information: Rivers due to ocean tides, the depth y in meters of the River T in
London varies as a sine function of x , the hour of the day. On a certain day the function was
, where x = 0, 1, 2…………..24 corresponding to 12:00 midnight, 1:00 A.M., 2:00 A.M. …12:00 midnight the next night.
Calculation:
Given equation is:
The depth reaches its maximum when
, the maximum of the sine will be 1:
Therefore, the maximum depth is
b.
To find: at what times does the maximum depth occur.
b.
Answer to Problem 49PPS
Maximum depth occur at 7 A.M. and 7 P.M.
Explanation of Solution
Given information: Rivers due to ocean tides, the depth y in meters of the River T in
London varies as a sine function of x , the hour of the day. On a certain day the function was
, where x = 0, 1, 2…………..24 corresponding to 12:00 midnight, 1:00 A.M., 2:00 A.M. …12:00 midnight the next night.
Calculation:
In order to find at what time the maximum of y is reaches must solve the equation:
Therefore, maximum depth occur at 7 A.M. and 19=7 A.M.+12 =7 P.M.
Chapter 14 Solutions
Algebra 2
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