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
The only thing you should do is to multiply 2/3 by 120 so you will have 2*120/3 = 80 :)))
i hope this is helpful
have a nice day
X = 200 because when finding 10% of s number we divide the number to 10. then you find 23 percent of 200. which is 46, because percentages are found out of 100 and 200 is 100 multiplied by 2. So we have to multiply 23 by 2. the answer is 46.
Answer:
divide this amount ($88.26875) by the number of people
Step-by-step explanation:
6.75% of $72.50 is 4.89375
15% of $72.50 is 10.875
72.50 + 4.89375 + 10.875 = 88.26875
divide this amount (88.26875) by the number of people
ANSWER
The solution is 
EXPLANATION
We want to solve the simultaneous equations
and
.
We substitute equation (2) in to equation (1), to obtain
This has now become a linear equation in a single variable 
.
We solve for x by grouping like terms.
We divide through by negative 3 to get;
.
Hence, the solution is
