Need help with problems 1-10. Answers only is fine if you want. I'll give helpful rating.

Select the correct answer. Find the linearization of the function x) = x3 1 at a = 3, and then use it to estimate 112.8). 0 A. 20.600 0 B. 20.952 0 c. 26.000 0 D. 27.000 2 Select the correct answer. The volume of a sphere is given by V= ( - 7 1 ) with a radius of 4 inches. Using linear approximation, estimate the volume of the sphere if the radius is decreased by 0.04 inches. O A. 260.0400 in3 O B. 260.0401 in3 O C. 260.1202 in3 O D. 260.1447 in3Select the correct answer. Find the linear approximation of the function x) = x2 + 1 at a = 1, and then use it to approximate 210.8). 0 A. 2.000 O B. 1.640 O C. 1.600 O D. 3.000 4 Select the correct answer. The radius of a cylinder is 1 inch and its height is 4 inches. Estimate the volume of the cylinder using linear approximation if the radius is decreased by 0.2 in. and the height is kept constant. O A. 12.566 in3 O B. 8.042 in3 O C. 7.540 in3 O D. 25.133 in3I Select the correct answer. From the graph, identify the local minimum of the function in the interval [-4, 4]. OB. C OC. B OD. A 6 Select the correct answer. Determine all the critical points of the function f(x) = 18x4 - 33x3 - 30x2. O A. x= 0, x= 1.63, and x = - 0.25 O B. x= 0, x= 3.37, and x = - 0.27 O C. x= 0, x= 1.83, and x = - 0.46 O D. x= 0, x= 3.61, and x= - 0.51Select the correct answer. Find the xvalues for the absolute maximum and minimum for the function x) = x3 - x2 - 2x+ 2 in the closed interval [-1, 1.5]. O A. The absolute maximum is -0.11 and absolute minimum is 0.43. O B. The absolute maximum is -0.549 and absolute minimum is 1.215. O C. The absolute maximum is -1.22 and absolute minimum is 0.55. O D. The absolute maximum is -0.54 and absolute minimum is 0.54. Select the correct answer. The volume ofa right circular cylinder is 5007: cu. cm. What is the maximum surface area possible for this cylinder? 0 A. 3887: O B. 321.6677 0 C. 238.147! 0 D. 200.121? \f10 Select the correct answer. 3 Which of the hypothesis of Rolle's Theorem is not satisfied for the function f(x) = X over [0, 2]? O A. The function is not continuous over [0, 2]. O B. The function is not differentiable over [0, 2]. O C. 110): 112) O 0- f(0) 112)