The rectangular equation for given parametric equations x = 2sin(t) and y = -3cos(t) on 0 ≤ t ≤ π is
which is an ellipse.
For given question,
We have been given a pair of parametric equations x = 2sin(t) and y = -3cos(t) on 0 ≤ t ≤ π.
We need to convert given parametric equations to a rectangular equation and sketch the curve.
Given parametric equations can be written as,
x/2 = sin(t) and y/(-3) = cos(t) on 0 ≤ t ≤ π.
We know that the trigonometric identity,
sin²t + cos²t = 1
⇒ (x/2)² + (- y/3)² = 1
⇒ 
This represents an ellipse with center (0, 0), major axis 18 units and minor axis 8 units.
The rectangular equation is 
The graph of the rectangular equation
is as shown below.
Therefore, the rectangular equation for given parametric equations x = 2sint and y = -3cost on 0 ≤ t ≤ π is
which is an ellipse.
Learn more about the parametric equations here:
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Answer:
Step-by-step explanation:
Cone. The volume of a cone is linked to the volume of a cylinder. A cone is one third of the volume of a cylinder. ...
Sphere. The volume of a sphere is ⁴/₃ × π × r³. ...
Cylinder. The volume of a cylinder is π × r² × l (r is the radius of the circle and l is the length of the cylinder).
1/2 divided by 5/8
Keep Change Flip=
1/2 x 8/5= 0.8
0.8 = 8/10 simpified 4/5
Answer: 4/5
Answer:
18 Weeks
Step-by-step explanation:
$39.50=17 + (5*x)
$39.50-17=17-17 + (5*x)
$22.5/5=(5*x)/5
It will take 4.5 months to save up. If each month has 4 weeks it will take 18 weeks