$\bf x=rcos(\theta )\implies \cfrac{x}{cos(\theta )}=r\\\\
y=rsin(\theta )\implies \cfrac{y}{sin(\theta )}=r
\\\\
-------------------------------\\\\
r=3cos(\theta )\implies \cfrac{x}{cos(\theta )}=3cos(\theta )\implies x=3cos(\theta )cos(\theta )
\\\\\\
\boxed{x=3cos^2(\theta )}
\\\\\\
r=3cos(\theta )\implies \cfrac{y}{sin(\theta )}=3cos(\theta )\implies \boxed{y=3cos(\theta )sin(\theta )}$

7 0

3 years ago

Need help finding the domain and range

pogonyaev

Here are a few things you'll need to know for this question:

Domain: The list of x-values that are possible on a line.
Range: The list of y-values that are possible on a line.
Interval Notation: Shows the domain/range using the endpoints. Brackets mean that the endpoint is included, parentheses mean the endpoint is excluded. Ex: (2,10]. 2 is excluded, 10 is included.
Closed Circles: The endpoint is included.
Open Circles: The endpoint is excluded.

So firstly, let's look at the domain. We see that there is a closed circle at x = -2 and an open circle at x = 5. Using what we know, the interval notation of the domain is [-2,5).

Next, let's look at the range. We see that there is a closed circle at y = -5 and an open circle at y = 2. Using what we know, the interval notation of the range is [-5,2).

3 0

3 years ago

Simplify 8⁶ ÷ 8fully work it out please​

Simplify 8⁶ ÷ 8fully work it out please