Can someone help me on this. I'm really confused
1 answer:
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Answer:
Hyperbola
Step-by-step explanation:
The polar equation of a conic section with directrix ± d has the standard form:
r=ed/(1 ± ecosθ)
where e = the eccentricity.
The eccentricity determines the type of conic section:
e = 0 ⇒ circle
0 < e < 1 ⇒ ellipse
e = 1 ⇒ parabola
e > 1 ⇒ hyperbola
Step 1. <em>Convert the equation to standard form </em>
r = 4/(2 – 4 cosθ)
Divide numerator and denominator by 2
r = 2/(1 - 2cosθ)
Step 2. <em>Identify the conic </em>
e = 2, so the conic is a hyperbola.
The polar plot of the function (below) confirms that the conic is a hyperbola.
Given:
The polynomial is:
To find:
The degrees and determine whether it is a monomial, binomial, or trinomial.
Solution:
We have,
The highest power of the variable <em>x</em> in the given polynomial is 4. So, the degree of the polynomial is 4.
Monomial: Polynomial with one term.
Binomial: Polynomial with two terms.
Trinomial: Polynomial with three terms.
In the given polynomial, we have three terms . So, the given polynomial is trinomial.
Therefore, the degree of the polynomial is 4 and it is a trinomial.