Determine a and b such that slope of curve 2y^3 = ax^2 + b at (1,-1) is same as the slope of x+y =0
3,1
2,1
-3,1
1,2
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2
Answer:
The values of a and b are
Step-by-step explanation:
The given curve is
It is said that at the point (1,-1) the slope of the curve is equal to the slope of line
To find the slope,we shall differentiate the curve as shown below
The slope of the line is
equating them together we get
Hence the curve becomes
Substituting the point we get
Therefore,
The values of a and b are
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