Hello, there. I have a few AP Calculus problems to do. Some of which are tough. I have completed this progress check already on AP Classroom, but I just want to confirm all my answers with you. Could you please look over every problem and see if the choice provided is the correct answer? Thank you!

Question 1 FT h (I) h' (r) h(I h(I) 0 1.00 0.50 0.84 4.68 4.29 1.28 2.82 20.81 2 7.32 4.63 9.68 48.60 3 8.96 5.48 12.24 62.12 Selected values of a function h and its first three derivatives are shown in the table above. What is the approximation for h (1.7) obtained by using the third-degree Taylor polynomial for h about r = 2? A 5.490 B 5.929 C 6.148 D 6.896Question 2 f (I) f' (I) f (I) f (I) 5 2 -1 8 18 Values of a function f and its first three derivatives at c = 5 are given in the table above. What is the third-degree Taylor polynomial for f about r = 5? A 2 -1 + 412 + 313 B 2 -(1- 5) +4(1 - 5)' +3(1 -5)3 C 2-(1 - 5) +4(1 - 5)2+6(1 -5) D 2-(1 - 5) +8(1 - 5)+18(1 -5)Question 3 Which of the following is the fourth-degree Taylor polynomial for f () = I - sin r about r = 0? A PA (I)= 51 71 B C PA (I) = 12 - 114 D PA (I) = 212 - 414Question 5 Let T4[;1:) be the fourtirdegree Taylor polynomial for f [z] = (:1: + 1}5 about :1: = 0. which of the following statements is true? A T4 (1:) = 1 + 5: + 10.1.3 + 101:3 + 5-34, and 114(3) provides a good approximation for x} only for values of: that are close to z = I]. T; {1:} = 1 + 5: + 10.1.3 + 10.1:3 + 5-34, and T4[;1:) provides a good approximation for x} for all real values of 3. T4 {1:} = 1 + 5: + 20.1.3 + 601:3 + 1203', and T4 [3) provides a good approximation for x} only for values of: that are close to z = D. T4 [2!) = 1 + 52 + 20.1.3 + 601:3 + 1202', and T4[;1r) provides a good approximation for f{-z} for all real values of :. Question 6 1What is the approximation for the value of coo( ,1) obtained by using the fourth-degree Taylor polynomial for cos a: about 3 = [l ? Question 7 The Taylor series for sin r about _ = 0 is given by > (-1)"+1 2-1 (2n-1)1 and converges to sin r for all I. If the ninth-degree Taylor polynomial for sin r about I = 0 is used to approximate sin 2, what is the alternating series error bound? A B 210 C D 210Question 8 For |x|