2. On February 10, 1990, high tide in Boston occurred at midnight. The water level at high tide was 9.9 feet. The next low tide occurred at 12 noon, with water level 0.1 feet. Assuming that the formula for water level at time t (in hours since midnight) is given by a sinusoidal curve y = A sin(B(t-C)) + D, find the values of A, B, C, D from the given information. A sketch may be helpful. Problems 1.3.180 - 182 are similar.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.3: Trigonometric Functions Of Real Numbers
Problem 40E
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2. On February 10, 1990, high tide in Boston occurred at midnight. The water level at high tide was 9.9 feet. The next low tide occurred at 12 noon,
with water level 0.1 feet. Assuming that the formula for water level at time † (in hours since midnight) is given by a sinusoidal curve
y = A sin(B(t - C)) + D, find the values of A, B, C, D from the given information. A sketch may be helpful. Problems 1.3.180 - 182 are similar.
Transcribed Image Text:2. On February 10, 1990, high tide in Boston occurred at midnight. The water level at high tide was 9.9 feet. The next low tide occurred at 12 noon, with water level 0.1 feet. Assuming that the formula for water level at time † (in hours since midnight) is given by a sinusoidal curve y = A sin(B(t - C)) + D, find the values of A, B, C, D from the given information. A sketch may be helpful. Problems 1.3.180 - 182 are similar.
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