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Chapter 10: Problem 48
Use a graphing utility to graph each equation. $$3 x^{2}-6 x y+3 y^{2}+10 x-8 y-2=0$$
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Use a graphing utility to graph the parabolas in Exercises 86鈥�87. Write the given equation as a quadratic equation in y and use the quadratic formula to solve for y. Enter each of the equations to produce the complete graph. $$ y^{2}+2 y-6 x+13=0 $$
If you are given the standard form of the equation of a parabola with vertex at the origin, explain how to determine if the parabola opens to the right, left, upward, or downward.
Use a graphing utility to graph the equation. Then answer the given question. $$ \begin{aligned} &r=\frac{4}{1-\sin \left(\theta-\frac{\pi}{4}\right)} ; \text { How does the graph differ from the }\\\ &\text { graph of } r=\frac{4}{1-\sin \theta} ? \end{aligned} $$
If you are given the standard form of the polar equation of a conic, how do you determine the location of a directrix from the focus at the pole?
Use Cramer's Rule (determinants) to solve the system: $$ \left\\{\begin{aligned} x-y &=-5 \\ 3 x+2 y &=0 \end{aligned}\right. $$
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