Answer:
root estimate = 1.75
error bound = 0.25
Step-by-step explanation:
f is a polynomial, so it is continuous in R (real numbers). Then you can use Bolzano's theorem.
f(0) = -3.1 < 0
f(2) = 4 - 3.1 = 0.9 > 0
Then there exists c in [0, 2], for which f(c) = 0
In the bisection method you generate a sequence of approximations of a root. If you have a bracketing interval [a, b], such that
f(a) and f(b) have opposite signs, then you use approximate the root as
In this case:
Then:
The error bound is half the width of the interval [1.5, 2]
Answer:
-5.44
Step-by-step explanation:
multiply add negative sign
it cant be a negative number or zero
so now you are left with 0.5, 2 and 7.9
15.7 - 0.5 = 15.2 ( 15.2/2 = 7.6) this is possible
15.7 - 2 = 13.7 ( 13.7/2 = 6.85) this is possible
15.7 - 7.9 = 7.8 ( 7.8/2 = 3.9) (7.9/2 = 3.95) since the sides would be shorter than half the base this is not possible to form a triangle
so b can be either 0.5 or 2
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