maths 6.docx - (a 152-122=(5r)2 225-144=25r2 81 25r r 25 25 r=9\/5 r=1.8 2r=1.8x2=3.6cm 3r=1.8x3=5.4cm(b A 15 9cm Tan = 12\/9=1.333B1 =Tan-1 1.333

# maths 6.docx - (a 152-122=(5r)2 225-144=25r2 81 25r r 25 25...

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(a) 15 2 -12 2 =(5r) 2 225-144=25r 2 25 25 25 81 r r r=9/5 r=1.8 2r=1.8x2=3.6cm 3r=1.8x3=5.4cm (b) Tan θ= 12/9=1.333…B1 Θ=Tan-1 1.333 Θ=53.12 o ….B1 OT= 2 2 6 . 3 6 OT= 04 . 23 OT=4.8cm TA cos 53.12= xTA TA 44 . 5 TA= 998 . 8 12 . 53 cos 4 . 5 TA=9cm Where curve cuts x-axis, x=-2 and x=2 T 53.12 o A A 9cm 12 15 B θ θ 3.6 T B 6
x 3.5 4.5 5.5 6.5 7.5 ½ x2 6.125 10.125 15.125 21.125 28.125 -2 -2 -2 -2 -2 -2 y 4.125 8.125 13.125 19.125 26.125 A=h(Y 1 +Y 2 +Y 3 +Y 4 +Y 5 ) =1(5.125+8.125+13.125+19.125+26.125) =70.625 aquare units (b) Exact area= 2 8 ( ½ x 2 2 ) dx 8 2 3 2 6 1 x x

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• Fall '16
• dr,david onyango
• 2 m, Square number, 3.6cm, 4.8cm, 1.9097%, 5.4 K

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