Answer:
dx/dy = (x^4 - 2x^5y - 6xy^2) / (5x^4y^2 - 4x^3y + 2y^3).
Step-by-step explanation:
x^5y^2 − x^4y + 2xy^3 = 0
Applying the Product and Chain Rules:
y^2*5x^4*dx/dy + 2y*x^5 - (y*4x^3*dx/dy + x^4) + (y^3* 2*dx/dy + 3y^2*2x) =0
Separating the terms with derivatives:
y^2*5x^4*dx/dy - y*4x^3*dx/dy + y^3* 2*dx/dy = x^4 - 2y*x^5 - 3y^2*2x
dx/dy = (x^4 - 2x^5y - 6xy^2) / (5x^4y^2 - 4x^3y + 2y^3)
The attached image represents the triangle after it has been enlarged
<h3>How to enlarge the triangle?</h3>
The given parameters are:
- Scale factor, k = -1/3
- Center, (a,b) = (-1,2)
From the graph, the coordinates of the triangle are:
A = (-4,2)
B = (-4,-4)
C = (-1,-4)
The rule of dilation is calculated using:

So, we have:

A' = (0, 2)

B' = (0, 4)

C' = (-1, 4)
See attachment for the image of the triangle, after it has been enlarged
Read more about dilation at:
brainly.com/question/3457976
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