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Solution for problem 15 Chapter 1
A truck carrying a wide load needs to pass through the parabolic tunnel shown. The units
Mathematics for the International Student: Mathematics SL | 3rd Edition
Problem 15
A truck carrying a wide load needs to pass through the parabolic tunnel shown. The units are metres. The truck is \(5 \mathrm{~m}\) high and \(4 \mathrm{~m}\) wide. a) Find the quadratic function which describes the shape of the tunnel. b) Determine whether the truck will fit.
Accepted Solution
Step-by-Step Solution:
Step 1 of 2
a) Consider the figure above,
The parabola cuts x-axis at -3 and 3.
We have conjugate (x-3) and (x+3)
Then ,
Parabola passes through (0,8)
So,
The quadratic function which describes the shape of tunnel is
Chapter 1, Problem 15 is Solved
Step 2 of 2
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A truck carrying a wide load needs to pass through the parabolic tunnel shown. The units