I am a high School student who loves math and technology! I also love helping people with these subjects.
In Exercises $1-8,$ find $d y / d x$.$$x=\tan y$$
In Exercises 61 and $62,$ use the curve $x^{2}-x y+y^{2}=1$Multiple Choice Which of the following is equal to $d y / d x ?$(A) $\frac{y-2 x}{2 y-x} \quad$ (B) $\frac{y+2 x}{2 y-x}$ (C) $\frac{2 x}{x-2 y} \quad$ (D) $\frac{2 x+y}{x-2 y}$$(\mathbf{E}) \frac{y+2 x}{x}$
In Exercises $43-62,$ determine convergence or divergence using ary method covered in the text so far.
$$\sum_{n=1}^{\infty} \frac{n}{2 n+1}$$
$$\sum_{n=1}^{\infty} 2^{1 / n}$$
$$\sum_{n=1}^{\infty} \frac{n !}{(2 n) !}$$
Define a hyperbola in terms of its foci.
