Draw a graph of the rose curve. r = -3 sin 5θ, 0 ≤ θ ≤ 2π
2 answers:
Answer:
Refer the attached figure below.
Step-by-step explanation:
Given : The rose curve
To find : Draw a graph of the rose curve?
Solution :
We have given the curve in polar form.
In Cartesian coordinates, a point is specified by X and Y values.
In polar coordinates, a point is specified by r and θ
Where, r is the point radical distance from the origin.
and θ is the angle that gives the direction between the positive x axis and the point.
Now, we plot the graph of curve
where,
Refer the attached figure below.
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Answer:
A
Step-by-step explanation:
The equation of a line in point- slope form is
y - b = m(x - a)
where m is the slope and (a, b) a point on the line
Calculate m using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (- 2, 8) and (x₂, y₂ ) = (3, - 2)
m = =
= - 2
(a, b) can be any of the 2 given points
Using (a, b) = (- 2, 8), then
y - 8 = - 2(x - (- 2)), that is
y - 8 = - 2(x + 2)