The given equation of the ellipse is x^2
+ y^2 = 2 x + 2 y
At tangent line, the point is horizontal with the x-axis
therefore slope = dy / dx = 0
<span>So we have to take the 1st derivative of the equation
then equate dy / dx to zero.</span>
x^2 + y^2 = 2 x + 2 y
x^2 – 2 x = 2 y – y^2
(2x – 2) dx = (2 – 2y) dy
(2x – 2) / (2 – 2y) = 0
2x – 2 = 0
x = 1
To find for y, we go back to the original equation then substitute
the value of x.
x^2 + y^2 = 2 x + 2 y
1^2 + y^2 = 2 * 1 + 2 y
y^2 – 2y + 1 – 2 = 0
y^2 – 2y – 1 = 0
Finding the roots using the quadratic formula:
y = [-(- 2) ± sqrt ( (-2)^2 – 4*1*-1)] / 2*1
y = 1 ± 2.828
y = -1.828 , 3.828
<span>Therefore the tangents are parallel to the x-axis at points (1, -1.828)
and (1, 3.828).</span>
Answer:
Equilibrium quantity = 26.92
Equilibrium price is $31.13
Step-by-step explanation:
Given :Demand function : 
Supply function : 
To Find : find the equilibrium quantity and equilibrium price.
Solution:
Demand function : --A
Supply function : 
---B
Now to find the equilibrium quantity and equilibrium price.
Solve A and B
Subtract B from A
So, equilibrium quantity = 26.92
Substitute the value of q in A
So, equilibrium price is $31.13
Answer:
The mode is the least used of the measures of central tendency
Step-by-step explanation:
1/4, 1/2, 4/7, and 2/3. I hope this helps!
The Canadian dollar is .72 of a American dollar so the answer has to be B.
