and 
are the <em>farthest</em> from the origin and 
is the <em>closest</em> from the origin.
Let be a curve of the form 
. The distance with respect to origin is found by using the following Pythagorean identity:
(1)
Where 
is the square distance function.
We can modify (1) as following:
![r = [27-3\cdot (y-2)^{2}]+y^{2}](https://tex.z-dn.net/?f=r%20%3D%20%5B27-3%5Ccdot%20%28y-2%29%5E%7B2%7D%5D%2By%5E%7B2%7D)
(1b)
Now we apply the First and second derivative tests to determine the minimum and maximum distances from the origin:
First derivative test
Second derivative test
The y-component represents a maximum.
Now we graph the function with the ressource of a graphing tool, we find the following points:
Farthest points: , .
Closest points: .
and are the <em>farthest</em> from the origin and is the <em>closest</em> from the origin.
To learn more on ellipses, we kindly invite to check this verified question: brainly.com/question/19507943
Answer:
The only one would be 2 and 43
43
x 2
_______
86
Answer:
y=1.40x+8
Step-by-step explanation:
26=1.40x+8
18=1.40x
12=x
Answer:
C. m<XYA > m<ZYA.
Step-by-step explanation:
Since XY = YZ, as indicated in the information given, the angles opposite XY and YZ would also be of equal measure of degrees.
Thus, XA = 5. The angle opposite XA is m<XYA.
ZA = 3. The angle opposite ZA is m<ZYA.
Since XA > ZA, therefore,
m<XYA > m<ZYA.
20 days
x=number of days vacation
y=daily expenses
xy=1100
(x+2)(y-5)=1100
*******
xy-5x+2y-10=1100
xy-5x+2y=1110
y=1100/x
x(1100/x)-5x+2(1100/x)=1110
1100-5x+(2200/x)=1110
-5x+(2200/x)=10
-5x^2 + 2200 = 10x
-x^2 + (440) = 2x
x^2 - 440 + 2x = 0
(x+22)(x-20)=0
x=-22,20
only take the positive answer because the negative answer doesn't make sense in the question
so the answer is 20
****
I might be wrong; this question probation should've been this hard so I might have taken a wrong turn somewhere. feel free to double check my work
