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Assuming That the Equations Define X and Y Implicitly as Differentiable

question 9

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Assuming that the equations define x and y implicitly as differentiable functions x = f(t) , y = g(t) , find the slope of the curve x = f(t) , y = g(t) at the given value of t.
- 2x+4x3/2=t3+t,y(t+1) 4ty=4,t=02 x + 4 x ^ { 3 / 2 } = t ^ { 3 } + t , y ( t + 1 ) - 4 t \sqrt { y } = 4 , t = 0

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