Posted by Aric on Sunday, February 20, 2011 at 11:50am.
:4(x² + y²)(2x + 2y dy/dx) = 25(2x - 2y dy/dx).
:4[(3)² + (1)²][2(3) + 2(1)dy/dx] = 25[2(3) - 2(1)dy/dx]
:4[9 + (1)][6 + 2 dy/dx] = 25[6 - 2 dy/dx]
:4[10][8 dy/dx] = 25[4 dy/dx]
Divide both sides by 10
:4[8 dy/dx] = 10[dy/dx]
:32[dy/dx] = 10 [dy/dx]
then I got dy/dx = 10/32
You messed up near the end
look at line
4[9 + (1)][6 + 2 dy/dx] = 25[6 - 2 dy/dx]
and then
4[10][8 dy/dx] = 25[4 dy/dx]
you added "unlike terms" inside the bracket
should have been
40[6+2dy/dx] = 25[6-2dy/dx]
240 + 80dy/dx = 150 - 50dy/dx
130dy/dx = -90
dy/dx = -90/130 = -9/13
the rest is easy.
tyvm <3
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