\fe e Y e e e e * n =12 (for n=12, show the setup with sigma notation before doing the calculation). A 2. Graphical Representation ? _ X3 et A Using desmos.com, graph the function f(x) = 3 T 5- + 3-\" + 4. Using restrictions on the domain and range, create the graphical representation of the left endpoint approximations on the interval [0, 6] forn =3 and n = 12. You should create two separate graphs, one for each value of n. Print off each graph and shade the regions bounded by the rectangles using a color of your choice. The rectangles should be created using Demos.com, and not drawn in by hand. 3. Exact Area Find the exact value for the area bounded by f(x) and the x-axis on the interval [0,6] using the LIMIT DEFINITION. Show your work. 4. Based on the approximations (both numerical and graphical), do the approximations get better or worse as the value of n increases? 5. Calculate the exact error for each value of n, rounded to 2 decimal places if necessary. e n=3error e n=6error e n=12 error 6. Exact area with the fundamental thm of calc Find the exact area under the curve of the following definite integrals using the fundamental theorem of calculus. Show your work. i i T dx l o] - VORCE T YV E R 152 + 6x 3d:r: .'17""2 o = nor... Arial 11 +BIUAD + 141 12131415 16 17 8 9 10 11 12 13 14 15 . n = 6 error . n = 12 error 6. Exact area with the fundamental thm of calc Find the exact area under the curve of the following definite integrals using the fundamental theorem of calculus. Show your work. J1 ( x-4) 2 Edx SNI- -15x2 + 6x - 3 d.x x- 2 12 - e-7 + 1 dx