1. If there is an error in the main post and no one has yet to correct it, present the correct work for that main post - including a full explanation and presentation of the main post prompt.
2. If there is an error in the main post and someone has attempted to correct it but failed to do so correctly, present the correct work for that main post - including a full explanation and presentation of the main post prompt.
3. If the main post is correct or has been corrected by a classmate, find the third Taylor polynomial for the function with the center shifted left or right by1or5(e.g. for a center of1in the main post you could use a center of?4,0,2or6- one of these that has not already been used in the responses to that main post). Use Desmos to graph the function, the third Taylor polynomial from the main post (or from its correction), and the third Taylor polynomial you found with the shifted center - all on the same graph. When large numbers of calculations are needed quickly, such as for computer graphics, evaluating non-polynomial functions is too time consuming to render graphics in real time and a Taylor polynomial approximation is used. Compare the values for the function and both third Taylor polynomials forX = 1.75, and discuss what someone might consider when selecting which center to use if a large number of calculations near that value ofxwill be required.

Remember, graphing is a bit of an art form, where you will have to experiment with the parameters for theX - andy -axis to find the best representation of your graph. To do this in DESMOS, click on the wrench symbol found in the upper right corner of the graphDESMOS resize graphDownload DESMOS resize graph.This opens a window where you can adjust the viewing size of your graph.

Neatly handwrite your work on a single sheet of paper. Insert an image of your handwritten work and an image of your DESMOS graph into a reply to the associated main post. Upload imageLinks to an external site.

B C. . 1 /2 L 2 6 yz = JX ye : VX C. = 1/ 2 fLE ) = 5/ f' ( x ) = /2JK 3/2 = f" ( x ) = - 1/4 # 5 /2 f" ( 2 ) = - /41 1 8/ = f"" ( x ) = 3 / 8 x f" ( 2 ) = 3/ 8(1 ) 8/2 =1 3/ 12 " ( x - c ) + 3 ! ( x- c)3 For f" (e ) = > ? " ( C ) 2 ! 21 + 18 2 - 9 = 19 52 fill ( C ) = > 31 3 : Play it all in P3 ( x ) = 72 + 52 ( x - 2 ) - 52 ( x - 2 ) 2 + 952 ( 4. + )3 if f" ( () and files were not P3(x ) = 12 + 52 ( x - 2 ) - ( x - + ) + + ( x - 2 )