39. [-/7 Points] MY NOTES LARCALC12 1.2.022. ASK YOUR TEACHER Consider the following. X+ 6 lim 2 x=6 x + 13x + 42 Create a table of values for the function. (Round your answers to four decimal places.) Use the table to estimate the limit. Use a graphing utility to graph the function to confirm your result. (Round your answer to four decimal places.) x+6 i _= x=6 x2 4 13x + 42 c - [ Submit Answer Consider the following limit. i MRS =S x0 Complete the table below. (Round your answers to four decimal places.) Use the table to estimate the limit. Use a graphing utility to graph the function to confirm your result. {(Round your answer to four decimal places.) [ Submit Answer 41. [-/2 Points] DETAILS MY NOTES LARCALC12 1.3.041. ASK YOUR TEACHER Find the limit of the function (if it exists). (If an answer does not exist, enter DNE.) lim X2+ 4X x0 x Write a simpler function that agrees with the given function at all but one peint. Use a graphing utility to confirm your result. g(x) = 42. [-/1 Points] MY NOTES LARCALC12 1.3.053. ASK YOUR TEACHER Find the limit. (If an answer does not exist, enter DNE.) . Vx+3-3 lim x=6~ x_6 R ke Submit Answer 43. [-/1 Points] DETAILS MY NOTES LARCALC12 1.3.057. ASK YOUR TEACHER Find the limit. (If an answer does not exist, enter DNE.) 1 1 lim G+m 2 A e x 44. [-/1 Points] DETAILS MY NOTES LARCALC12 1.3.065. Find the limit. (If an answer does not exist, enter DNE.) jim {SIN(D)(1 cos(x)) x0 ;2 45. [-/1 Points] DETAILS LARCALC12 1.3.066. Find the limit. (If an answer does not exist, enter DNE.) cos{48) tan(48) T 80 g Submit Answer 46. [-/1 Points] DETAILS MY NOTES LARCALC12 1.3.099.MI. ASK YOUR TEACHER ASK YOUR TEACHER ASK YOUR TEACHER Use the position function s{t) = a.9:2 &+ 700, which gives the height (in meters) of an object that has fallen for seconds from a height of 700 meters. The velocity at time t = & seconds is given by the following. jim 5t@) s(t) ta a-t Find the velocity of the object (in m/s) when t = 3. (Round your answer to one decimal place.) Y il |__Submit Answer 47. [-/2 Points) DETAILS MY NOTES LARCALC12 1.3.508.XP. Consider the following. i 2O 2x12 x+-2 x4+ 2 Find the limit of the function (if it exists). (If an answer does not exist, enter DNE.) Write a simpler function g{x) that agrees with the given function at all but one point. glx) = (e ey Submit Answer 48. [-/1 Points] DETAILS MY NOTES LARCALC12 1.4.031. Find the limit (if it exists). (If an answer does not exist, enter DNE.) x+7 7 " X4 ASK YOUR TEACHER ASK YOUR TEACHER 49. [-/1 Points] DETAILS MY NOTES LARCALC12 1.4.036. ASK YOUR TEACHER Discuss the continuity of the function. (Enter your answers as a comma-separated list.) ((x ) = x - 9 x+ 3 -NWA -7-6-5-4-3-2-1 1 2 3 4 56 f is discontinuous at x = Submit Answer 50. [-/1 Points] DETAILS MY NOTES LARCALC12 1.4.041. ASK YOUR TEACHER Discuss the continuity of the function on the closed interval. (Enter your answer using interval notation.) 4 - x, x50 Function: ((x ) = 3 4 + -X, x>0 Interval: [-1, 7] f is continuous on the interval Submit Answer 51. [-/2 Points] DETAILS MY NOTES LARCALC12 1.4.047. ASK YOUR TEACHER Find the x-values (if any) at which f is not continuous. If there are any discontinuities, determine whether they are removable. (Enter your answers as comma-separated lists. If an answer does not exist, enter DNE.) ((x ) =. 9 - x2 removable discontinuities nonremovable discontinuities X Submit Answer 52. [-/2 Points] DETAILS MY NOTES LARCALC12 1.4.055. ASK YOUR TEACHER Find the x-values (if any) at which f is not continuous. If there are any discontinuities, determine whether they are removable. (Enter your answers as comma-separated lists. If an answer does not exist, enter DNE.) f(x) = x+7 x2 - 2x - 63 removable discontinuities X = nonremovable discontinuities X = Submit Answer53. [-/2 Points] DETAILS MY NOTES LARCALC12 1.4.064. ASK YOUR TEACHER Find the x-values (if any) at which f is not continuous. If there are any discontinuities, determine whether they are removable. Enter your answers as comma-separated lists. If an answer does not exist, enter DNE.) f( x ) = [-2x + 6, x