3.1. Roots of polynomials appear in many engineering applications. Find the real root of the
polynomial equation:
4x
5
+ 3x
4
– 95x
3
+ 5x
2
–10x+ 80 = 0
in the range –10 ≤x≤ 10 by plotting the polynomial.
3.2. Trigonometric identities can be used to simplify the equations that appear in engineering
applications. Confirm the identity tan(2x) = (2 × tan x)/(1– tan
2
x) by plotting both sides
of this expression for the interval 0 ≤x≤ 2 p.
3.3. Obtain graphically an approximate value of the roots of the following equation:
x= sin(x) +p/2
3.4. Solve the following set of equations graphically:
y
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