Question 893873
{{{y=3/(sqrt(5x+6))=3*(5x+6)^(-1/2)}}}
{{{dy/dx=-(15/2)(5x+6)^(-3/2)}}}
At (2,12),
{{{dx/dt=2}}}
{{{dy/dt=(dy/dx)(dx/dt)=-(15/2)(5(2)+6)^(-3/2)*2}}}
{{{dy/dt=(dy/dx)(dx/dt)=-15(16)^(-3/2)}}}
{{{dy/dt=(dy/dx)(dx/dt)=-15/64}}}
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{{{V=sqrt((dx/dt)^2+(dy/dt)^2)}}}
{{{V=sqrt(2^2+(15/64)^2)}}}
{{{V=sqrt(4+225/4096)}}}
{{{V=sqrt(16384/4096+225/4096)}}}
{{{V=sqrt(16609)/64)}}}