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: I Hope some one helps you out
Step-by-step explanation:Y
Answer:
Step-by-step explanation:
Given
Required
Determine the scale
The scale is calculated using the following ratio:
Substitute values for Scale and Actual Measurements
Divide ratio by 20.5
This implies that: <em>1 inch on scale represents 8 ft in actual measurement</em>
Consider that long row as 1 big rectangle with base 6+11+6+11=34 and height of 8
area=34*8=272 ft^2
the 2 rectangles on side
the sbase is 11
the height is 6 since it has to match with the other 2 side things
2*6*11=132
add to find total
132+272=404 ft^2
<span>307.5 million divided by 3.79 million = </span><span>81.1345646438</span>
