Answered step by step
Verified Expert Solution
Link Copied!

Question

1 Approved Answer

1. Use the complex exponential to evaluate 31 (cosh (x) sin(2)) 2. (a) Sketch the graph of y = a sech (b(x - c)) +

image text in transcribed

image text in transcribed
1. Use the complex exponential to evaluate 31 (cosh (x) sin(2)) 2. (a) Sketch the graph of y = a sech (b(x - c)) + d, where a, b, c, d are positive constants. Remember to label all key features with their values, including the asymptotes and local maximum. (b) During a flood, river levels often approximately follow a bell curve, which can be modelled using sech. The Murray River is one of Australia's largest rivers. It forms part of the border between Victoria and NSW. Between September 2022 and February 2023, the Murray River was in flood. Many towns were affected, including Echuca, about 300km north of Melbourne. Normally, the Murray River water level at Echuca is 86.9 metres above sea level. At the flood's peak, the water level was 95.0 metres above sea level, and this occurred on 27 October 2022. 58 days later (24 December), the water level was 90.3 metres above sea level. Let t be the time in days since 31 December 2021 (so t = 1 represents 1 January 2022) and let y(t) be the Murray River water level at Echuca in metres above sea level at time t. Assume that y(t) = asech (b(t - c)) + d where a, b, c, d are positive constants. Use the information above to find the values of a, b, c and d. You can give your answers as decimals to at least 4 decimal places. You can use a calculator or software like Wolfram Alpha wolframalpha . com to calculate the deci- mal values if needed

Step by Step Solution

There are 3 Steps involved in it

Step: 1

blur-text-image

Get Instant Access to Expert-Tailored Solutions

See step-by-step solutions with expert insights and AI powered tools for academic success

Step: 2

blur-text-image

Step: 3

blur-text-image

Ace Your Homework with AI

Get the answers you need in no time with our AI-driven, step-by-step assistance

Get Started

Recommended Textbook for

Computational Invariant Theory

Authors: Harm Derksen, Gregor Kemper

2nd Edition

3662484226, 9783662484227

More Books

Students also viewed these Mathematics questions

Question

ON WHAT ITEMS DOES ACTIVITY-BASED MANAGEMENT FOCUS? LO.1

Answered: 1 week ago