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: the top box can be the linear equation y=40x+15 and the bottom box is 40
Step-by-step explanation:
If you swim 15 more minutes than your friend and your swam 55 minutes, that means your friend only swam 40 minutes. The set amount of time that your friend swims for <em>x</em> is 40 minutes. So the additional time you swim is <em>b</em>, 15 minutes.
Answer:
2625 cubic meters
Step-by-step explanation:
the volume of a rectangle is V = length x width x height (depth in this case)
so, 50m x 30m x 1.75m = 2625m^3
Step-by-step explanation:
Conversion a mixed number 5 3/2
to an improper fraction: 5 3/2 = 5 3/2
= 5 · 2 + 3/2
= 10 + 3/2
= 13/2
To find a new numerator:
a) Multiply the whole number 5 by the denominator 2. Whole number 5 equally 5 * 2/2
= 10/2
b) Add the answer from previous step 10 to the numerator 3. New numerator is 10 + 3 = 13
c) Write a previous answer (new numerator 13) over the denominator 2.
Five and three halfs is thirteen halfs
Conversion a mixed number 3 6/7
to an improper fraction: 3 6/7 = 3 6/7
improper fraction: 3 6/7 = 3 6/7
3 · 7 + 6/7 = 21 + 6/7 =27/7
To find a new numerator:
a) Multiply the whole number 3 by the denominator 7. Whole number 3 equally 3 * 7/7
= 21/7
b) Add the answer from previous step 21 to the numerator 6. New numerator is 21 + 6 = 27
c) Write a previous answer (new numerator 27) over the denominator 7.
Three and six sevenths is twenty-seven sevenths
Multiple:
13/2 * 27/7 = 13/2 · 27/7 = 351/14
Answer:
22
Step-by-step explanation:
since there is a bisector that makes the two angles equal. you first need to find x then with x you can add the angles to get the biggest angle witch is RMQ
2x+1 = 4x-9
1=2x-9
10=2x
5=x
x=5
RMQ=2x+1+4x-9
RMQ=2(5)+1+4(5)-9
RMQ=10+1+20-9
RMQ=11+11
RMQ=22
RMQ=16
