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:
brainly.com/question/14289251
#SPJ4
6
Slope is change in y over change in x. -2-4 is -6, and -6- -5 which is -6+5 is -1. -6 over -1 is positive 6, so the slope is 6.
Answer:
413
Step-by-step explanation:
Since the question is using the baby as a reference for much the male and female eats. Treat baby as the variable or x
So 3x+2x+x=181.5lb
6x=181.5lb
x=30.25lb.
female lb.=2×30.25=60.5lb of bamboo
hopefully that helps.
Answer:
Let r represent the radius of the smaller circle and R the radius of the larger circle.
Apply ratios: the radius of smaller circle to radius of larger circle, i.e.
r: R = 3 : 7.
I complete rotation = 360 degrees.
Part 1:
For one complete rotation of the smaller circle, the larger circle is rotated through: (3/7)*(360) = 154.3 degrees
Part 2:
For one complete rotation of the larger circle, the larger circle is rotated through: (7/3)*(360) = 840.0 degrees
This is equivalent to (840/360) = 2.3 rotations
Alternatively, use the ratios:
The number of rotations = R/r = 7/3 = 2.3 rotations
BRAINLIEST PLEASE??
Step-by-step explanation:
