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andriy [413]
4 years ago
5

Please answer the question

Mathematics
1 answer:
Murljashka [212]4 years ago
6 0
I think this could be your answer

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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
xxMikexx [17]

Answer with explanation:

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

 f(x)=log (3 x) +5 x²

f'(x)=\frac{1}{3x}+10 x

Initial Guess =0.5

Formula to find Iteration by Newton-Raphson method

  x_{n+1}=x_{n}-\frac{f(x_{n})}{f'(x_{n})}\\\\x_{1}=x_{0}-\frac{f(x_{0})}{f'(x_{0})}\\\\ x_{1}=0.5-\frac{\log(1.5)+1.25}{\frac{1}{1.5}+10 \times 0.5}\\\\x_{1}=0.5- \frac{0.1760+1.25}{0.67+5}\\\\x_{1}=0.5-\frac{1.426}{5.67}\\\\x_{1}=0.5-0.25149\\\\x_{1}=0.248

x_{2}=0.248-\frac{\log(0.744)+0.30752}{\frac{1}{0.744}+10 \times 0.248}\\\\x_{2}=0.248- \frac{-0.128+0.30752}{1.35+2.48}\\\\x_{2}=0.248-\frac{0.17952}{3.83}\\\\x_{2}=0.248-0.0468\\\\x_{2}=0.2012

x_{3}=0.2012-\frac{\log(0.6036)+0.2024072}{\frac{1}{0.6036}+10 \times 0.2012}\\\\x_{3}=0.2012- \frac{-0.2192+0.2025}{1.6567+2.012}\\\\x_{3}=0.2012-\frac{-0.0167}{3.6687}\\\\x_{3}=0.2012+0.0045\\\\x_{3}=0.2057

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

                =\frac{\text{Actual value}}{\text{Given Value}}\\\\=\frac{0.205}{0.5}\\\\=0.41

 Approximate relative error in terms of Percentage

   =0.41 × 100

   = 41 %

7 0
3 years ago
Set up and solve an equation to find the value of x
gregori [183]
X° + 123° + 90° = 360° (angles at a point)
x° = 360° - 90° -123°
x° = 147°

The answer of x is 147°

Hope I can help you :)
3 0
3 years ago
Sea level = 0
FromTheMoon [43]

Answer:

c. -70

Step-by-step explanation:

subtract 50 from 120 you get 70, and since we are below sea level it is negative

7 0
3 years ago
Show work please! Thanks a Lot
hoa [83]
Convert the fraction 3/4 to decimal form to get 3/4 = 0.75

To factor out 3/4, we divide each term by 3/4 or 0.75
It might be easier to divide by 0.75 to avoid two division symbols

So (3/4)z+6 = 0.75z+6
Divide each term (0.75z and 6) by 0.75 which is what we want to factor out

0.75z/0.75 = z
6/0.75 = 8

Therefore, 
0.75z+6 = 0.75*(z+8)

Note how we can distribute the 0.75 back through to each term inside (z and 8) and we'll end up with 0.75z+6 again.

The answer in fraction form is \frac{3}{4}(z+8) which is 3/4 outside the parenthesis multiplied by the group (z+8)
6 0
4 years ago
HELP ASAP PLEASE!!!!!!!!
WARRIOR [948]

Answer:

ĉu vi scias ion, ni supozeble ne scias tion, jes

7 0
3 years ago
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