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:
y = 2/3x - 6
Step-by-step explanation:
Use the slope intercept equation, y = mx + b
Plug in the slope and given point, then solve for b
y = mx + b
-4 = 2/3(3) + b
-4 = 2 + b
-6 = b
Plug in the slope and b into the equation
y = 2/3x - 6
So, the equation of the line is y = 2/3x - 6
The answer to the question
Answer:
The second graph near the bottom with a Y-intercept of -1
Answer:
Each of the 7 friends could be present or not present (2 cases) at the party giving total of 27 scenarios.
Since at least one must be present we exclude the case that none of them is present. So the answer would be:
27−1=127.
Step-by-step explanation:
i actually dont know but can you report me and dont ask
