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Please show all the work. 1. Consider the following curve f(x)=3x^4-16x^3+24x^2-9. Find the coordinates of the...

Please show all the work.

1. Consider the following curve f(x)=3x^4-16x^3+24x^2-9. Find the coordinates of the minimum.

2. The curve y=x^3+kx^2 +2x-1 has a point of inflection at x=-3 Find the value of k.

3. Find the equation of the perpendicular line of the curve x^3+y^3=4y^2 at the point (2,2)

4. Alina invested $20,000 in a mutual find, and after 8 years, her original  has tripled. Find use the P(t)=P0e^rt

a. Find the yearly percentage growth rate

b.The rate of the account growing per year.

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