Suppose that D is the ellipse D={tr, ») € R°: + v*


Suppose that D is the ellipse<br>D={tr, ») € R°: + v* < 10}<br>{(x, y) € R²:<br>+ y? < 10}<br>D =<br>4<br>and that f is a differentiable function defined on all of R². Suppose that (xo, Yo) is in<br>ƏD, the boundary of D. Denote by (xo, Yo) the derivative of ƒ in the direction of the<br>outward pointing unit normal at the point (xo, Yo). Given that<br>fe<br>(4, 3) = 2 and<br>df<br>(4, 3) = 2,<br>dy<br>calculate (4, 3).<br>

Extracted text: Suppose that D is the ellipse D={tr, ») € R°: + v* < 10}="" {(x,="" y)="" €="" r²:="" +="" y?="">< 10}="" d="4" and="" that="" f="" is="" a="" differentiable="" function="" defined="" on="" all="" of="" r².="" suppose="" that="" (xo,="" yo)="" is="" in="" əd,="" the="" boundary="" of="" d.="" denote="" by="" (xo,="" yo)="" the="" derivative="" of="" ƒ="" in="" the="" direction="" of="" the="" outward="" pointing="" unit="" normal="" at="" the="" point="" (xo,="" yo).="" given="" that="" fe="" (4,="" 3)="2" and="" df="" (4,="" 3)="2," dy="" calculate="" (4,="">

Jun 05, 2022
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