Answer:
Converse: Alternate Interior Angles Converse
Step-by-step explanation:
By the Alternate Interior Angles Converse, if , then l || m.
Use the equation to solve for x as follows:
Subtract 9x from each side
Add 23 to both sides
Divide both sides by 5
The area that is enclosed by the curve defined by the polar equation r = sin θ sin(4θ). can be solved by using the formula of A= ∫[f(θ)]²dθ.
Note also that this all given polar function can be evaluated from a limit 0 to 2 π.
First we sketch the polar curve which is r=sin4θ
Then Derive a Polar Curve where:
r = x² + y²
tan⁻¹
The graph for r=sin4θ is given in the image attached.
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Answer:
The vertex is the point (-1,11). is a maximum
Step-by-step explanation:
we know that
The equation of a vertical parabola in vertex form is equal to
where
(h,k) is the vertex
a is a coefficient
if a > 0 the parabola open upward and the vertex is a minimum
if a < 0 the parabola open downward and the vertex is a maximum
we have
Convert to vertex form
Complete the square
Factor the leading coefficient
Rewrite as perfect squares
The vertex is the point (-1,11)
The coefficient a=-5
so
a < 0 the parabola open downward and the vertex is a maximum