Where r the turning points of x^2(x-4)^7(x+3)^6

There are 5  turning points at x = -3, -1.11, 0, 1.44 and 4.

Step-by-step explanation:

The product rule for 3 terms is

F' (x) =   f'(x) g(x) h(x) + f(x) g'(x) h(x) + f(x) g(x) h'(x)

F(x) = x^2(x - 4)^7 (x + 3)^6

F' (x) =  2x(x-4)^7(x+3)^6 + x^2 7(x - 4)^6 (x + 3)^6 + x^2(x-4)^7 6(x+3)^5 = 0 at the turning points.

That is some equation!!

By observation, 3 roots are x = 0 , x = 4 and  x = -3 so there are turning points at these values of x.

I'll use  software to graph  it to find any more real solutions - they are -1.11 and 1.44 to nearest hundredth.

72 fudge and 75 toffee

step-by-step explanation:

i hope this : )

the central idea is that:

individuals should refuse to cooperate with institutions they believe unjust.

thoreau felt  that governments were more often agents of corruption than justice, even democracies, and that just because the majority feels a certain way does not make it just or correct in absolute terms. he uses the fact that slavery exists in our democracy to support this idea.

he goes on to say that, as a result, people should live true to their own internal laws regarding right and wrong, as a product of reflection and a moral life, rather than following every law that society imposes. 

step-by-step explanation: