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Use Newton's method to find a solution for the equation in the given interval. Round your...

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Advance Math

Use Newton's method to find a solution for the equation in thegiven interval. Round your answer to the nearest thousandths. ? 3 ?−? = −? + 4; [2, 3] [5 marks] Answer 2.680

Q6. Use the Taylor Polynomial of degree 4 for ln(1 − 4?)toapproximate the value of ln(2). Answer: −4? − 8?2 − 64 3 ? 3 − [6marks]

Q7. Consider the curve defined by the equation 2(x2 + y2 ) 2 =25(x2 − y2 ). Find the equation of the line tangent to the curve atthe point(3, 1). [5 marks]

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