Calculus: please show work so I can understand it

9.

19. [-/5 Points] DETAILS SESSCALC2 1.3.522.XP.MI. Use the given graph of f to state the value of each quantity, if it exists. (If an answer does not exist, enter DNE.) 10 8 6 4 2 X -2 2 4 6 8 10 -2 (a) lim f(x) x- 5 (b) lim f(x) x - 5+ (c) lim_f(x) x - 5 (d) lim f(x) X- 9 (e) f(9 )46. [4/6 Points] DETAILS PREVIOUS ANSWERS SESSCALC2 1.5.039. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Use the Intermediate Value Theorem to show that there is a root of the given equation in the specified interval. x4+x - 3=0, (1, 2) f(x) = x4 + x - 3 is continuous on the closed interval [1, 2], f(1) = , and f(2) = Since - 1 00 (b ) lim f(x) X - -00 (c) lim f(x) x - 1 (d) lim f(x) x - 3 (e) the equations of the asymptotes (Enter your answers as a comma-separated list of equations.) vertical horizontal Need Help? Read It Watch It50. [-/2 Points] DETAILS SESSCALC2 1.6.010. Evaluate the function for values of x that approach 1 from the left and from the right. 9 f ( x ) = - x3 - 1 lim f(x) = X- 1- lim f(x) = x - 1+ Need Help? Read It Watch It 51. [0/1 Points] DETAILS PREVIOUS ANSWERS SESSCALC2 1.6.013. Find the limit. (If an answer does not exist, enter DNE.) lim x+1 X -> -2+ X+2 DNE X Need Help? Read It 52. [0/1 Points] DETAILS PREVIOUS ANSWERS SESSCALC2 1.6.019. Find the limit. (If an answer does not exist, enter DNE.) lim 5x - 6 X -> 0 2x+ 8 DNE X Need Help? Read It53. [0/1 Points] DETAILS PREVIOUS ANSWERS SESSCALC2 1.6.025. Find the limit. (If an answer does not exist, enter DNE.) lim (V 36x2 + x - 6x) X - 00 DNE X Enhanced Feedback Please try again. For finding the limit as x approaches infinity of a function involving a ra Need Help? Read It Watch It 54. [-/2 Points] DETAILS SESSCALC2 1.6.035. Find the horizontal and vertical asymptotes of the curve. (Enter your answers as a comm y = . 5x2 + x - 1 x2 + X - 30 horizontal asymptote(s) y = vertical asymptote(s) X = Need Help? Read It 55. [-/1 Points] DETAILS SESSCALC2 1.6.501.XP. Evaluate the limit using the appropriate properties of limits. lim 9 x2 - x+ 6 x -> 0 2x2+ 5x - 3 Need Help? Read It Watch It56. [0/1 Points] DETAILS PREVIOUS ANSWERS SESSCALC2 1.6.502.XP. Find the limit, if it exists. (If an answer does not exist, enter DNE.) lim X - 9 X - -00 x2+ 1 DNE X Need Help? Read It 57. [0/1 Points] DETAILS PREVIOUS ANSWERS SESSCALC2 1.6.503.XP. Find the limit, if it exists. (If an answer does not exist, enter DNE.) lim 9x6 - X x - 0 x3 + 8 DNE X :Enhanced Feedback Please try again. For finding the limit as x approaches infinity of the quotient function, divide b 'limits. Most of these limits will approach zero. - - - - - - - - Need Help? Read It Watch It 58. [-/1 Points] DETAILS SESSCALC2 1.6.504.XP. Find the limit. lim 4x6 - X X- -00 x3 + 2 Need Help? Read It59. [-13 Points] DETAILS SESSCALC21.6._|IT.004.MI. Find the domain of the function and identify any horizontal and vertical asymptotes. (Enter NONE if there is no asymptote.) 1-5x 1+6x f(X) = Domain: all real numbers all real numbers except 1/6 all real numbers except 1/5 all real numbers except 1/6 all real numbers except 1/5 vertical asymptote X = horizontal asymptote y = Need Help?| man I] MI I] Ila-m I Consider the parabola y = 7X X2. (a) Find the slope of the tangent line to the parabola at the point (1, 6). (b) Find an equation of the tangent line in part (a). y: 9. [-/1 Points] DETAILS SESSCALC2 1.2.047. Express the function in the form fog. (Use non-identity functions for f and g.) F(x) = (8x + x2)4 (f(x), g(x) ) = Need Help? Read It