sub: Numerical Analysis

Q1. Write down the linear (tangent line) approximation to y eV2 at the point x 0, and sketch the graph of this function and the tangent line. Q2. Give the first 3 non-zero terms of the Taylor polynomial approximation to sinx about the point x = 0. Q3. Let N be the second last digit of your student number, so N Taylor polynomial of Q2 to give an approximation to sin N 3. Use the Q4. Using the remainder formula for the Taylor polynomial approximation, esti mate the error in your approximation to sin N Q5 Represent the numbers 387 and 25 as floating point numbers and illustrate the calculation of 387+25, using rounding. What is the calculated sum