Question

Find the area of the region described. The region bounded by y=8,192 VX and y=128x2 The area of the region is (Type an exact answer.)

Answer 1

s 64 grein y= 8,192 Ju and y z1284² solving these zubressions : y=8192 JX = 128 ? = 8 762 Jx = 128x? 645 n = x²E) (64)? x= x4 = x_x. (647²0 €) x² zlx" x 46=0 => x[(x3–64%})=0 4²-16 (ubber cox Required Area (R) y & 128n² Eflower curve) (ubber curve lower 4 ze [4]] = 0 =) X=0 y=81925u R X=16 X-9 care din Xco x - 16 16 (8192 Vx - 128x2") dx bubbed curre (Y) = 8 1925 lower curve 16 (8,1927X?) - 128 x (Y)= 12 Bx²

를 16 N 3 1284 SB92) 플 3 지도 16. [(ex so - 8192) 지 공 X (28 3 3 16 . 16384 32, X 3 128A 3 16389)46 3) - (28)(16)》 Σ Σ -(6) - Tea 111024 = 143494 64 -420) (see - 524248) 48 577 2 3 (Not & S7 k - 524 288 잎 529238 AH7 4763 3 7 Square unit