2. Given the quadratic function of y = 5u² - 3bu+b. If the function is said to possess repeated roots, determine the value(s) of b. 3. The Uriah Butler Highway connects south Trinidad and Tobago to the north while and the Churchill Roosevelt Highway connects East Trinidad and Tobago to the west are described to be perpendicular to each other at the point they meet. If the Uriah Butler Highway has a slope of 5 and the Churchill Roosevelt Highway passes through the geometric coordinates (50, 140). Derive a straight-line equation to represent the Churchill Roosevelt Highway. 4. Given the two functions below: y = 10e-0.5q y = 7ln5q a) Using the same Microsoft Excel sheet or otherwise, draw or sketch the two functions for the interval -1

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ISBN:9780470458365
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Chapter2: Second-order Linear Odes
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Do the following questions (questions 2-4). Show all workings 

2. Given the quadratic function of y = 5u² 3bu + b. If the function is said to possess
repeated roots, determine the value(s) of b.
3. The Uriah Butler Highway connects south Trinidad and Tobago to the north while and the
Churchill Roosevelt Highway connects East Trinidad and Tobago to the west are described
to be perpendicular to each other at the point they meet. If the Uriah Butler Highway has
a slope of 5 and the Churchill Roosevelt Highway passes through the geometric
coordinates (50, 140). Derive a straight-line equation to represent the Churchill Roosevelt
Highway.
4. Given the two functions below:
y = 10e-
a-0.5q
y = 7ln5q
a) Using the same Microsoft Excel sheet or otherwise, draw or sketch the two
functions for the interval -1 <q <3.
b) From your diagram (part a) above), identify which of the two functions
represents the demand curve and name the intercept(s) formed.
and
Transcribed Image Text:2. Given the quadratic function of y = 5u² 3bu + b. If the function is said to possess repeated roots, determine the value(s) of b. 3. The Uriah Butler Highway connects south Trinidad and Tobago to the north while and the Churchill Roosevelt Highway connects East Trinidad and Tobago to the west are described to be perpendicular to each other at the point they meet. If the Uriah Butler Highway has a slope of 5 and the Churchill Roosevelt Highway passes through the geometric coordinates (50, 140). Derive a straight-line equation to represent the Churchill Roosevelt Highway. 4. Given the two functions below: y = 10e- a-0.5q y = 7ln5q a) Using the same Microsoft Excel sheet or otherwise, draw or sketch the two functions for the interval -1 <q <3. b) From your diagram (part a) above), identify which of the two functions represents the demand curve and name the intercept(s) formed. and
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