Question

w )) 4. (a) (+3) Use the graph to estimate li f()dx – 53 g(x)dx. (b) (+3) Using the graph order the following from least to greatest; g(0), and (3) Lean () dx, S(-2), 8(O)

Answer 1

for) initely g(x), 6. Th 30 rian, 20 cable 10 3 3.3 -4 -20 .tence -30 sot oge subr 2 3.3 g 1x) dx Ta Estimate So fixndx unden Anea is fix) 2 Integral o to of simply the approximate it by triangle we can that curne that such ie 3 1 sl Stone Ź (2-1), ~ 4.5 to 3.3 of gix) is simply the And Integral (Area under under the between x-axis and that carrel

approximate by a for that can triangle. such that 3.3 3.3 1 gixiax - 313-3-1)27) 817) -17 -- 10:54203 *27) 51 19.55 so 3.3 g(x) dx = 4.5 - (-15.55) Approximation of 1. fix) - 4.5+ 19.55. 24.05 = least to greatest. 16 Orden from and 3.25 دهو, f'(o) g(x) dx f'(-2) g'13), -1.25 for 3.25 21x) dx its almost 0 -1.25 6 see the graph 1 bei and the that is similar at 1.25 to to 3.25 + eque negative Area positive area

Hence 3.25 z lx) dx -1.28 -2 ts tangent of (ii) f(-2) f(x) at and has magnitude slope nas negative than 5 greater so f'(-2) 4-5. 220 fio) tangent of f(x) and slope has magnitude has positive is almost f'(o) u 1. re at (ivo go) tangent out of 91x) and has magnituede slope has negative greater than. SO g'10) - 3 tangent of glx g'13) 1 slope and magnitud has negative su g'13) 2-2. anden is fence the 3.25 g 1x) dx < flo) f'(-2) a g'13) <glio) a -1.25