Question: Please answer Question 2, I included Question 1 for the reference in Question 2 AY 1. Compute a sequence of ratios, -, for the function
Please answer Question 2, I included Question 1 for the reference in Question 2

AY 1. Compute a sequence of ratios, -, for the function y = x with respect to the fixed point P = (20, 400). Use AXn = -, n = 1, 2, 3,. .to generate a sequence of points On = (20 + ), (20 + 2)") Ayn and so a sequence of ratios Ayn (20+2) -(20)2 Show that as n - co (i.e., Xn - 0) this ratio Axn (20 +1 ) -(20) Axn converges. Using this result find the tangent line to the function y = x through the point P = (20, 400). 2. In questions 1, you calculated actual changes in Ay, associated with changes in Ax, with reference to the point P = (20, 400). Compare these results with the estimated change in y using the differential dy = f'(x)dx where dx = AXn. In particular, compute the percentage error term En = Ayn-dy (100). What does this formula suggest about the use of the differential as an Ayn estimate of the actual change in the function as x changes? Discuss
Step by Step Solution
There are 3 Steps involved in it
Get step-by-step solutions from verified subject matter experts
