at the same rate for 20 days. After repeating computations similar to the ones done in a. and b., would you consider the differential approximation of the oil spill surface area after 20 days still acceptable? Why or why not? 3. In this problem f(x) = 1 COS T 1+x a. Graph f(x) in the window [0,6 x -1, 1.5. b. Write an equation showing how x,n, an approximation for a root of f(z) 0, is changed to an improved approximation, Tn+1, using Newton's method. Your equation should use the specific function in this problem. c. Suppose IO Explain what happens to the sequence of approximations {xn as n gets large. You should use both numerical and graphical evidence to support your assertion. 2. Compute the next two approximations r1 and r2 d. Suppose IO = 4. Compute the next two approximations x1 and I2. Explain what happens to the sequence of approximations {xn} as n gets large. You should use both numerical and graphical evidence to support your assertion 1
Question 3 part D
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at the same rate for 20 days. After repeating computations similar to the ones done in a. and b., would you consider the differential approximation of the oil spill surface area after 20 days still acceptable? Why or why not? 3. In this problem f(x) = 1 COS T 1+x a. Graph f(x) in the window [0,6 x -1, 1.5. b. Write an equation showing how x,n, an approximation for a root of f(z) 0, is changed to an improved approximation, Tn+1, using Newton's method. Your equation should use the specific function in this problem. c. Suppose IO Explain what happens to the sequence of approximations {xn as n gets large. You should use both numerical and graphical evidence to support your assertion. 2. Compute the next two approximations r1 and r2 d. Suppose IO = 4. Compute the next two approximations x1 and I2. Explain what happens to the sequence of approximations {xn} as n gets large. You should use both numerical and graphical evidence to support your assertion 1
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