assignment submission & scoring assignment submission for this assignment, you submit answers by question…
assignment submission & scoring assignment submission for this assignment, you submit answers by question parts. the number of submissions remaining for each question part only assignment scoring your last submission is used for your score. 7. -/0.8 points details my notes larpcalclimaga8 9.5.052. convert the rectangular equation to polar form. x² + y² - 9y = 0 need help? read it
Answer
Explanation:
Step1: Recall conversion formulas
We know that $x = r\cos\theta$ and $y=r\sin\theta$, and $x^{2}+y^{2}=r^{2}$.
Step2: Substitute into the given equation
Substitute $x = r\cos\theta$, $y = r\sin\theta$ and $x^{2}+y^{2}=r^{2}$ into $x^{2}+y^{2}-9y = 0$. We get $r^{2}-9r\sin\theta=0$.
Step3: Factor the equation
Factor out $r$ from the left - hand side of the equation: $r(r - 9\sin\theta)=0$. Since $r = 0$ is included in the graph of $r=9\sin\theta$ (when $\theta = 0$), the polar form is $r = 9\sin\theta$.
Answer:
$r = 9\sin\theta$