Why does Newton's method fail at all of these points in the graph except for x=5, especially when comparing x=3 versus x=5?

Q: Find an equation of the straight line having slope 1/6 that is tangent to the curve y=√x+5.

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Q: At the given point, find the slope of the curve or the line that is tangent to the curve x by 6 =…

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Q: A curve has implicit equation 3x² y - 5y = 2(x + 8) x ER, YER, y # 0.

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Q: What is the equation of the tangent to the curve y = x2 − 5x +4 at the point where x=1 ?

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Q: Find the equation of the line tangent to the curve f(x) =x + at the point (5, 26/25)

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Q: Why is the equation nonhomogeneous sometimes?

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Q: Question 4 Let h: R - R be defined by h (x) = { 1, 0<r< 1 Give an open set G such that h-' (G) is…

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Q: (1- x) (1+x) Find an equation of the tangent line to the curve y = at (-2, -3).

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Q: Find the point on the curve y = √x closest to the point (2,2)

A: Here we have to find the point on the curve y = sqrt (x) closest to the point (2, 2)   use the…

Q: At what values of x on the curve y= 2x³+13x²+5x+9 does its tangent lines pass through the origin? In…

A: Given equation of curve: y=2x3+13x2+5x+9……1

Maximization

Have you ever seen a bridge in the shape of a parabola? Where is its maximum on the bridge? The maximum of that bridge is the highest point on that bridge. The process of finding the maximum of the bridge here is called the maximization.