car 3. A formula for the depth d metres of water in a harbour at a time t hours after midnight is d=P+Qcos 0 St S 24, where P and Q are positive constants. In the following graph the point (6, 8.2) is a minimum point and the point (12, 14.6) is a maximum point. 15+ (12, 14.6) - 10: 28V e nia (6, 8.2) COS 5+ 6. 12 18 24 t de (a) Find the value of (i) (ii) P: \\H b) Find the first time in the 24-hour period when the depth of the water is 10 metres.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.4: Plane Curves And Parametric Equations
Problem 29E
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This is one question it has multiple parts
(c) (i)
Use the symmetry of the graph to find the next time when the depth of the water is
10 metres.
(ii) Hence find the time intervals in the 24-hour period during which the water is less
than 10 metres deep.
et f(x) = sin (2x + 1), 0 < x < a.
Transcribed Image Text:(c) (i) Use the symmetry of the graph to find the next time when the depth of the water is 10 metres. (ii) Hence find the time intervals in the 24-hour period during which the water is less than 10 metres deep. et f(x) = sin (2x + 1), 0 < x < a.
ver
cal
3.
A formula for the depth d metres of water in a harbour at a time t hours after midnight is
d =P+Qcos
0 Sts 24,
where P and Q are positive constants. In the following graph the point (6, 8.2) is a minimum
point and the point (12, 14.6) is a maximum point.
15+
(12, 14.6)
10:
CoS
223V e niz (6, 8.2)
5+
6.
12
18
24 t
(a) Find the value of (i)
(ii)
P: \\H
(b) Find the first time in the 24-hour period when the depth of the water is 10 metres.
Transcribed Image Text:ver cal 3. A formula for the depth d metres of water in a harbour at a time t hours after midnight is d =P+Qcos 0 Sts 24, where P and Q are positive constants. In the following graph the point (6, 8.2) is a minimum point and the point (12, 14.6) is a maximum point. 15+ (12, 14.6) 10: CoS 223V e niz (6, 8.2) 5+ 6. 12 18 24 t (a) Find the value of (i) (ii) P: \\H (b) Find the first time in the 24-hour period when the depth of the water is 10 metres.
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