91Ó°ÊÓ

The given equation is a partial answer to a calculus problem. Solve the equation for the symbol \(y^{\prime}\). $$ 2 x y^{2}+x^{2}(2 y) y^{\prime}-2=-3 y^{\prime} $$

Solve the given nonlinear inequality. Write the solution set using interval notation. Graph the solution set. $$ (1-x)\left(x+\frac{1}{2}\right)(x-3) \leq 0 $$

Find any intercepts of the graph of the given equation. Determine whether the graph of the equation possesses symmetry with respect to the \(x\) -axis, \(y\) -axis, or origin. Do not graph. \(2 x+3 y=6\)

Solve the given inequality. Write the solution set using interval notation. Graph the solution set. $$ \left|\frac{2-5 x}{3}\right| \geq 5 $$

Find any intercepts of the graph of the given equation. Determine whether the graph of the equation possesses symmetry with respect to the \(x\) -axis, \(y\) -axis, or origin. Do not graph. \(x=y^{2}\)

The given equation is a partial answer to a calculus problem. Solve the equation for the symbol \(y^{\prime}\). $$ \frac{(x-y)\left(1+y^{\prime}\right)-(x+y)\left(1-y^{\prime}\right)}{(x-y)^{2}}=1 $$

Solve the given inequality. Write the solution set using interval notation. Graph the solution set. $$ |x-5|<0.01 $$

Find all points \(P(x, x)\) that are the indicated distance from the given point. $$ (-2,0) ; \sqrt{10} $$

Solve the given nonlinear inequality. Write the solution set using interval notation. Graph the solution set. $$ \left(x^{2}-1\right)\left(x^{2}-4\right) \leq 0 $$

The given equation is a partial answer to a calculus problem. Solve the equation for the symbol \(y^{\prime}\). $$ \frac{1}{1+x^{2} y^{2}}\left(x y^{\prime}+y\right)=2 x y y^{\prime}+y^{2} $$