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2 answers:
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Answer:
α(t) = (-a*Sin(t), b*Cos (t)) where t ∈ [0, 2π]
Step-by-step explanation:
Given an arbitrary ellipse (x²/a²) + (y²/b²) = 1 (a, b > 0)
The parametrization can be as follows
x = -a*Sin(t)
y = b*Cos (t)
then
α(t) = (-a*Sin(t), b*Cos (t)) where t ∈ [0, 2π]
If t = 0
α(0) = (-a*Sin(0), b*Cos (0)) = (0, b)
If t = π/2
α(π/2) = (-a*Sin(π/2), b*Cos (π/2)) = (-a, 0)
If t = π
α(π) = (-a*Sin(π), b*Cos (π)) = (0, -b)
If t = 3π/2
α(3π/2) = (-a*Sin(3π/2), b*Cos (3π/2)) = (a, 0)
If t = 2π
α(2π) = (-a*Sin(2π), b*Cos (2π)) = (0, b)
We can see the sketch in the pic.
Answer:
800
Step-by-step explanation:
Given: The selling price of bed is 2400.
Discount offered is 25%
Lets assume the cost of bed be "x"
Discount offered on the cost price of bed=
∴ Discount offered on the cost price of bed= 0.25x
We know the selling price of bed after discount provided.
Finding the cost price of the bed.
⇒
⇒
cross multiplying both side.
∴
∴ Cost price of the bed is 3200.
We know selling price of the bed is 2400.
Now, finding the saving.
Saving on the price of bed= Cost price- selling price
Saving=
Hence, saving on the purchase of the bed is 800.