25.}d(dyx9)}52x2}x12}d(y9)512x2}x12}2dxEd(y9)5E12x2}x12}2dxy9 5x21x211Cy9(1)521C51C5 21y9 5x21x2121Edy5E(x21x2121) dxy5}13}x31ln x2x1Cy(1)5}13}10211C502}23}1C50C5}23}y5}x33}1ln x2x1}23}Graphical support:Let f(x)5}x33}1ln x2x1}23}.We first show the graph of y5f9(x)5x21x2121,x .0, along with the slope field for y9 5f0(x)52x2}x12}.[20.5, 4.21] by [29, 21]We now show the graph of y5f(x) along with the slope fieldfor y9 5f9(x)5x21x2121.[20.5, 4.21] by [29, 21]26.}d(drt0)}5 2cos td(r0)5 2cos t dtEd(r0)5E2cos t dtr0 5 2sin t1Cr0(0)5C5 21r0 5 2sin t21Ed(r9)5E(2sin t21) dtr9 5cos t2t1Cr9(0)511C5 21C5 22r9 5cos t2t22Edr5E(cos t2t22) dtr5sin t2}t22}22t1Cr(0)5C5 21r5sin t2}t22}22t21Graphical support:We first show the graph of y5r0 5 2sin t21 along with the slope field for
This is the end of the preview.
access the rest of the document.