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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k<28
Step 1: Simplify both sides of the inequality.
−k+28>0
Step 2: Subtract 28 from both sides.
−k+28−28>0−28
−k>−28
Step 3: Divide both sides by -1.
−k
/−1 > −28
/−1
k<28
If you change the fraction to decimals that will make it easier to compare
Hey There,
16 * 1/6 = 2 2/3
Instead of just 16, we can put 16 over a 1
16/1 * 1/6
Multiply across
16 * 1 / 1 * 6
= 16 / 6
Simplify
2 2/3
- I.A. -
Answer:
$50
Step-by-step explanation:
To find the total amount that Palmer spent, you would first add up all his purchases. This can be represented by adding $90 + $110 + $100, which adds up to $300.
To find out how much Palmer has left, just subtract $300 from his initial $350 ($350 - $300 = $50.) This gives you a final answer of Palmer having $50 in his bank account.
