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 attached image shows the image of A"B"C" after the transformation
<h3>What is the transformation of the triangle about?</h3>
The transformation rule states:
A"B"C" = Ro90° (T(-4,3)(ABC))
This implies that one need to rotate the triangle in a 90⁰ clockwise direction, and then one need to translate the triangle.
Using the image shown, the coordinates of ABC are;
A = (-1, 2)
B = (1, 4)
C = (3, -1)
The 90⁰ rule clockwise rotation will be:
(x,y) -- (y,-x)
So, when translated, it will be:
A' = (2, 1)
B' = (4, -1)
C' = (-1, -3)
Then the translation of the triangle using T(-4,3):
(x, y) - (x - 4, y + 3)
So, there is:
A'' = (-2, 4)
B'' = (0, 2)
C'' = (-5, 0)
Learn more about transformation from:
brainly.com/question/28108536
#SPJ1
Answer:
$42.90
Step-by-step explanation:
to find how much money selling the large necklaces multiply the amount and how many were sold
5.40*7
$37.80
add the money from the one small necklace that was sold
37.80+5.10
$42.90
U probably need to add in a picture