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bazaltina [42]
3 years ago
8

jane and eric decide to drive to kansas city, as they leave home in columbia, they notice the car odometer reads 22,745 miles. W

hen they stop at Boonville to have lunch, they notice that the odometer reads 22,771 miles and they see this road sign: Kansas City 92 miles. What is the distance from Columbia to Kansas City
Mathematics
1 answer:
Ksju [112]3 years ago
5 0
118 miles hope it hleps
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Use the Newton-Raphson method to find the root of the equation f(x) = In(3x) + 5x2, using an initial guess of x = 0.5 and a stop
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Answer with explanation:

The equation which we have to solve by Newton-Raphson Method is,

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x_{4}=0.2057-\frac{\log(0.6171)+0.21156}{\frac{1}{0.6171}+10 \times 0.2057}\\\\x_{4}=0.2057- \frac{-0.2096+0.21156}{1.6204+2.057}\\\\x_{4}=0.2057-\frac{0.0019}{3.6774}\\\\x_{4}=0.2057-0.0005\\\\x_{4}=0.2052

So, root of the equation =0.205 (Approx)

Approximate relative error

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 Approximate relative error in terms of Percentage

   =0.41 × 100

   = 41 %

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