the normal to the curve 5x^5-10x^3#x#2y#6 is equal to 0 at the point p(0,-3) is tangent to the curve at point
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Step-by-step explanation:
Y=5×5+10×3+x+2y+6 let y=5×5/2+5×3-x/2-3
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Answer:
The line is tangent at (1, – 1) and (– 1, – 5).
Step-by-step explanation:
Differentiating, 25x^4 – 30x^2 + 1 + 2y' = 0
At P(0, – 3), y' = –1/2
The normal at P is y + 3 = 2x
Eliminating y with the given equation x(x^2 – 1)^2 = 0
x = 0, 1, – 1
The line is tangent at (1, – 1) and (– 1, – 5).
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