Answer:
The required vector parametric equation is given as:
r(t) = <3cost, 3sint>
For 0 ≤ t ≤ 2π
Step-by-step explanation:
Given that
f(x, y) = <2y, -sin(y)>
Since C is a cirlce centered at the origin (0, 0), with radius r = 3, it takes the form
(x - 0)² + (y - 0)² = r²
Which is
x² + y² = 9
Because
cos²β + sin²β = 1
and we want to find a vector parametric equations r(t) for the circle C that starts at the point (3, 0), we can write
x = 3cosβ
y = 3sinβ
So that
x² + y² = 3²cos²β + 3²sin²β
= 9(cos²β + sin²β) = 9
That is
x² + y² = 9
The vector parametric equation r(t) is therefore given as
r(t) = <x(t), y(t)>
= <3cost, 3sint>
For 0 ≤ t ≤ 2π
Answer:
False
Step-by-step explanation:
Parallelograms are classified as a quadrilateral
Answer:
therws this random chart from the internet, I think that's what they want, but not sure
Answer:
cos B = 8/17
Step-by-step explanation:
The cosine function is defined as (adjacent side) / (hypotenuse), and in this case is 8/17.
Answer:
Distance from Anchorage (longitude 150 degrees W) to Saint Petersburg (longitude 30 degrees E) = 10,002.47 KM
Step-by-step explanation:
As earth is a sphere of radius 6371 km.
Therefore at 60 degree latitude, the radius of circle can be calculated as shown below:
= 6371 * Cos 60
= 3185.5 KM
Saint Petersburg is nearly 180 degree about Anchorage by flying directly east.
So Distance from Anchorage (longitude 150 degrees W) to Saint Petersburg (longitude 30 degrees E) can be calculated as shown below:
= (180 * 2 * 3.1416 * 3185.5) / 360
= 10,002.47 KM
