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andreev551 [17]
3 years ago
15

PLEASE HELP ME IM BEGGING YOU i really need to pass this assignment..

Mathematics
1 answer:
Neporo4naja [7]3 years ago
7 0

Answer:

122 + 242 ≠ 262 i think

Step-by-step explanation:

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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
Hans wants to earn more than $51 trimming trees. He charges $7 per hour and pays $5 in equipment fees. What are the possible num
Flura [38]

Answer:

h ≤ 8

Step-by-step explanation:

Hans charges $7 per hour and pays $5 in equipment fees.

$5 is fixed in this case. Let the possible number of hours be h.

According to question,

Atleast means less than equal to. So,

7h-5≤51

Add 5 to both sides.

7h+5-5 ≤ 51+5

7h ≤ 56

h ≤ 8

So, the number of hours be less than equal to 8.

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3 years ago
Write the polynomial in standard form: I need help with this
Novosadov [1.4K]
The polynomial is the same in standard form
3 0
3 years ago
Please help with this, Thank You.
Dmitry [639]

Answer:

x = 12

Step-by-step explanation:

3x + 9 = 5x - 15

2x = 24

x = 12

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2 years ago
What is the dependent variable
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Current. This is because the current is dependent on the light intensity which is an independent variable. The current is also affected by the light intensity. 
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