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Your friends have opened an ocean fishing operation that requires their fishing vessel to cross a channel, where the depth of the water (measured in metres) varies with time, and is represented by the following equation:
D(t) = 2.5 sin (0.523t) + 2.9
Where d = depth of water in metres
And t = number of hours since midnight
1. Create a graph showing the depth of the water over 24 hours. Label your graph approx, including coordinates for maximum and minimum points (to 2 decimal places). On graph paper
2. What is the period of this function and what does it represent about the varying depths of the water
3. Your friendsfishingboat requires a depth of at least 1.3 metres of water to cross the channel safely. They would like to make two excursions per day with each trip lasting at least 5 hours
Design a daily timetable showing what times these trips could be scheduled to allow for safe navigation through the channel. Support your answer by showing your work (Express time in hours and minutes)
If sin? = 1/2 , show that 3cos?-4cos 3 ? = 0. Ans: Sin ? = ½ ⇒ ? = 30 o Substituting in place of ? =30 o . We get 0.
jeff left hartford at 2:15 pm and arrived in boston at 4:45 pm how long did the drive take him?
Functional and variations.Block III, Consider the functional S[y]=?_1^2 v(x^2+y'')dx , y(1)=0,y(2)=B Show that if ?=S[y+eg]-S[y], then to second order in e, ?=1/2 e?_1^2¦?g^'
Graph f ( x ) = - x 2 + 2x + 3 . Solution It is a parabola in the general form. f ( x ) = ax 2 + bx + c In this form, the x-coor
what is a Benchmark Fraction
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Equations of Lines In this part we need to take a view at the equation of a line in R 3 . As we saw in the earlier section the equation y = mx+b does not explain a line in R
The low temperature in Anchorage, Alaska today was negative four degrees. The low temperature in Los Angeles, California was sixty-three degreees. What is the difference in the two
A car travels at a rate of (4x2 - 2). What is the distance this car will travel in (3x - 8) hours? Use the formula distance = rate × time. Through substitution, distance = (4x2
Normal Distribution Figure 1 The normal distribution reflects the various values taken by many real life variables like the heights and weights of people or the ma
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