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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)
Definition 1. Given any x 1 & x 2 from an interval I with x 1 2 if f ( x 1 ) 2 ) then f ( x ) is increasing on I. 2. Given any x 1 & x 2 from an interval
Simplify following and write the answers with only positive exponents. (-10 z 2 y -4 ) 2 ( z 3 y ) -5 Solution (-10 z 2 y -4 ) 2 ( z 3 y ) -5
Question: Find all third order partial derivatives for the function F(x,y)= log xy+ e (x+y) -x/y.
from 0->1: Int sqrt(1-x^2) Solution) I=∫sqrt(1-x 2 )dx = sqrt(1-x 2 )∫dx - ∫{(-2x)/2sqrt(1-x 2 )}∫dx ---->(INTEGRATION BY PARTS) = x√(1-x 2 ) - ∫-x 2 /√(1-x 2 ) Let
a conical hole drilled in a circular cylinder of height 12 and radius 5cm the height and radius of cone are also same find volume
1+1
Determine the fundamental period of the following discrete-time signal: X(n) = 2sin(4n)π +π/4) + 5sin16n +4sin (20n +π/3)
Your factory has a machine for drilling holes in a sheet metal part. The mean diameter of the hole is 10mm with a standard deviation of 0.1mm. What is the probability that any
Give an example of each of the following given below . You do not require to give any justi cation. (a) A nonempty, bounded subset of Q with no in mum in Q. (b) A subspace of
vwertical and horizontal
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