Question 1 An arrow is shot from the ground into the air at an initial speed of Vo = 108 Ft /s (a) Use the formular h=-16t² + vot to determine how long it will take the arrow to reach its maximum height. What is its maximum height? b) Determine the height of the arrow at times t=as and t=35, and the average rate of change of the height of the arrow over the interval ast≤3 d Using t₂=5, apply three iterations of Newton's Method to find a zero for h. To how many decinal Places does the third approximation with Newton's method agree with the true zero of h? di Use the Intermediate Value Theorem to show that there exists a number CE [4,6] such that hcc) = 130 e) Using t₁=4, and to=6, apply five iterations of the Bisection method to find the value of c for which hcc)=130 To how many decimal places does the fifth approximation with the Bisection Method agree with the true value of c?

Question 1 An arrow is shot from the ground into the air at an initial speed of Vo = 108 Ft /s (a) Use the formular h=-16t² + vot to determine how long it will take the arrow to reach its maximum height. What is its maximum height? b) Determine the height of the arrow at times t=as and t=35, and the average rate of change of the height of the arrow over the interval ast≤3 d Using t₂=5, apply three iterations of Newton's Method to find a zero for h. To how many decinal Places does the third approximation with Newton's method agree with the true zero of h? di Use the Intermediate Value Theorem to show that there exists a number CE [4,6] such that hcc) = 130 e) Using t₁=4, and to=6, apply five iterations of the Bisection method to find the value of c for which hcc)=130 To how many decimal places does the fifth approximation with the Bisection Method agree with the true value of c?