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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)
nC6:n-3C3=91:4
Using the definition of the definite integral calculate the following. ∫ 0 2 x 2 + 1dx Solution Firstly,
wha is intergration?
1. Which of the following is greater than 4.3 x 10^9 a. 2.1 x 10^9 b. 3.2 x 10^9 c. 5.3 x 10^9 d. 7.4 x 10^8 2. Which of the following is less than 6.5 x 10^-5 a. 1.4 x 10
Which expression below is equal to 5? The correct order of operations must be used here. PEMDAS tells you in which you should do the operations in the subsequent order: Pare
Terminology related to division : A good way to remedy this situation is to familiarise children with these concepts in concrete, contexts, to start with. For instance, if a chi
Show all your work. 80% of your score is for correct justified answers; 20% is for correctly and clearly demonstrating why. For the graphing problems, use www.desmos.com/calculator
Q. Find Probability of tossing a head with the dime? List the sample space, and find n(S), for the outcomes of tossing a nickel followed by a dime. What is the probability of t
Question 1: What is the minimum number of students each of whom comes from one of the 50 different states, enrolled in a university to guarantee that there are at least 100 who
The Definition of the Derivative : In the previous section we saw that the calculation of the slope of a tangent line, the instantaneous rate of change of a function, and the ins
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