Question

Show all work in a neat manner. Use appropriate notations and correct math language. Circle your answers. No calculators. 1. The graph of a function f is given below. Showing the corresponding rectangles and assuming that one tick mark on the x-axis is 1 unit, estimate $(x)dx using four 0 subintervals with a) Right endpoints: b) Left endpoints c) Midpoints: Which method does give better approximation? Explain.

Answer 1

Ulven I = tin du 91 No 2 3 43 Jin) 2 file) 1 2 femel f(43) fly) Reight endpoints for n=3! h [ +62) ++(*) ++C)] sfin du = 1 [f(1) + f(1) 44(3) S tem du tema L' + 2 +1] s3 fenzan ay for n=3. left approximation O u soflur du a [flue) tf(u) tt Cars du = [te) ++011 + $60] -x+1+t ston sfeur du 512 BIL tu © flm 32 3/ shfinida f h lt (not) + Chit hy + f (hetus 1-1 +3/2+3/ Right endpoint gives = 1 {-1+3] = 2// appronuete answer