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Assuming that the equations in Exercises $63-66$ define $x$ and $y$ implicitly as differentiable functions $x=f(t), y=g(t),$ find the slope of the curve $x=f(t), y=...

Question

Assuming that the equations in Exercises $63-66$ 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 $t .$ $$ x=\sqrt{5-\sqrt{t}}, \quad y(t-1)=\sqrt{t}, \quad t=4 $$

Assuming that the equations in Exercises $63-66$ 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 $t .$ $$ x=\sqrt{5-\sqrt{t}}, \quad y(t-1)=\sqrt{t}, \quad t=4 $$



Answers

Assuming that the equations in Exercises $63-66$ 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 $t .$
$$
x=\sqrt{5-\sqrt{t}}, \quad y(t-1)=\sqrt{t}, \quad t=4
$$


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