In Exercises 11-14, a planar curve Cis given along with a sur- face f that is defined over C. Set up the line integral f(s) ds, then approximate its value using technology. 11. Cis the portion of the...


#12 and #14 please!


In Exercises 11-14, a planar curve Cis given along with a sur-<br>face f that is defined over C. Set up the line integral f(s) ds,<br>then approximate its value using technology.<br>11. Cis the portion of the parabola y = 2x +x +1 on 0, 1);<br>the surface is f(x, y) = x + 2y.<br>%3D<br>12. Cis the portion of the curve y = sin x on [0, 7); the surface<br>is f(x, y) = x.<br>13. Cis the ellipse given by 7(t) = (2 cos t, sin t) on [0, 27); the<br>surface is f(x, y) = 10 – x² – y.<br>%3D<br>14. Cis the portion of y = x on [-1, 1); the surface is f(x, y) =<br>2x + Зу + 5.<br>

Extracted text: In Exercises 11-14, a planar curve Cis given along with a sur- face f that is defined over C. Set up the line integral f(s) ds, then approximate its value using technology. 11. Cis the portion of the parabola y = 2x +x +1 on 0, 1); the surface is f(x, y) = x + 2y. %3D 12. Cis the portion of the curve y = sin x on [0, 7); the surface is f(x, y) = x. 13. Cis the ellipse given by 7(t) = (2 cos t, sin t) on [0, 27); the surface is f(x, y) = 10 – x² – y. %3D 14. Cis the portion of y = x on [-1, 1); the surface is f(x, y) = 2x + Зу + 5.

Jun 05, 2022
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