Question 12. (5 POINTS] fla)(a) Recall that the definition of Taylor series for f(x) at centre x = a is f(@) = (z - a)". n! Use this definition to generate the Taylor polynomial of degree 3 at centre a = for the function h(@) = 4 T COST.Question 8. [5 POINTS] It is a fact that a tennis ball always bounces to 25% of the height that is is dropped from. You drop a tennis ball from a height of 100 m and it bounces 20 times. What is the total vertical distance that the ball travelled between dropping it and the 20th bounce? Hint: Model this using a finite geometric series