Sketch the curve N=-t^4+4t^3+125 for 0<=t<=5, showing all critical points.

Q: Find the point of inflection of the curve y = x^3 - 6x^2 - x + 12. (-2,6) (2,-6) (-2,-6) (2,6)

A: We have to find point of inflection of given function.

Q: Identify and sketch the curve for: x^2+25y^2+100y+4=0

A: The given equation of the curve is x2+25y2+100y+4=0. Rewrite the given equation of the curve as…

Q: Determine the family of curves such that at each point the slope is given by 2xy^2

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Q: Find all local maxima and minimaf(x) = x^2(x−1) +3

A: Given,

Q: ind the maximum of all the possible value

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Q: Find the value/s of x for which y=3x^4-4x^3+1 is maximum?

A: y=3x4-4x3+1 Differentiating with respect to x, we get dydx=34x3-43x2+0=12x3-12x2 Now to find…

Q: find a x-coordinate of the point on the curve xy=x^3-2/3x^2+2x+1/12, where the tangent line is…

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Q: check uniquness and existance for fixed point while f(x)=(2x+1)^-3 in [1,2]

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Q: Find the slope of the curve y=x^3-3 at the point ​P(-2,-11​) by finding the limiting value of the…

A: Given,y=x3-3Point P -2,-11The slope of the secant line ism=fb-fab-a

Q: 13 4.

A: Slope of the curve at a point  is dy/dx at that point

Q: Find the Critical number of the function f(x) = -2x^2 + 16x + 7. x = ?

A:

Q: A ball is thrown directly upward from a height of 4ft with an initial velocity of 28 ft/sec. The…

A: Topic = Algebra