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
33, take 45/5= 9 miles per gallon, then take 297/9= to get 33 gallons of gas
Answer:
false, they can run 14 miles in 15 minutes
Step-by-step explanation:
56 divide by 4 = 14
60 divided by 15 = 4
answer: henri must make 160 brownies.
work:
set up as a system of equations.
= 
now, cross multiply to solve.
25(x) = 40(100)
25x = 4,000
now divide 4000/25.
4000/25 = 160.
40 is 25% of 160, so he must make 160.
Answer:
Step-by-step explanation:20