Question

please do not answer question if unsure & show work,

first question must bw written as a fraction

Approximate the area under the parabola y = 16 - x? from 0 to 4, using six equal subintervals. The approximate area is (Simplify your answer.)

Answer 1

Sulation No to rau using begual sebenternals, The Erapezoidal role states that 42 2/3 1 km de website Corolt 260017. --:+281460) + fm2 where ana baa So, we have a so, bou, not therefore a ona 49 Divide the interial Co, ug into n.6 subinterval of length one z with the following endporilor a=0, 312 31, 2 & 3, 10, nob Now we go just evaluate the f" at these endpants 81% f(a) f(0) 16 2 f(ms) - 2813) - 2010 28192) 2 2 f($): 2,5 2/(43) = 24 12) = 24 2 play) = 2413): 40 2 f (g) = 26 (13) = 18 284,116) 114120 finally, just sum up the above values & multiply by sa at 1 ASCRF 1/3 { 16+ 280 +251 + 2 1 + 160 q * +03 269 +236 +216 (Area 2 1144 sq unit + 160 t 88 -88] -27

Asea - (1។។ 27 Sq units 37 e ?" du nos subenterrals. sa=bra =) a=-1, b = 2 & n=3 Da=2+ = lona 3 -2 0.1353353 Divide the interval [-1, 2] into naz subintervals of length and! with following endpoint a=-1,0,1,2=b. Now we just evaluate the f" at there, endpoints. f (66) = f(a) = f(-1) = é 2f12):2110)-2-2 2 fl ) = 2 f(1) = 263 = 14.728!! f (43) = f (b) = f(2)=e" = 54.59815 finally just am the above values & finally Dx - 2 Apunzatartarea font Area = [ { 0.1353353+ 2+14.77811 + 54.66 o} Asea = 1835.7556 uneta Tasca & $35.7765 gq. unit