In: Advanced Math
Use Newton's method to find a solution for the equation in the given 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?)to approximate the value of ln(2). Answer: −4? − 8?2 − 64 3 ? 3 − [6 marks]
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 at the point(3, 1). [5 marks]