Find the global minimum and maximum of the continuous functionf(x)=x³3x+8 on[0, 2]. find the global minimum value______________ and global maximum value_________________

and

Letf(x) =x³.Verify the mean value theorem by finding ac(2, 1)such that

f'(c) =f(1)f(2)

1(2)

c=_______________

and

Show that the functionf(x) =5 divided by x²+5has an absolute maximum but not an absolute minimum. f(x) = 5 divided by x²+5 would be (which one) <, , =, >, or to0for allx? Sincelimx5 divided x²+5 =_______, fdoes not take on an absolute minimum. Sincex²+55,it follows that f(x) =5 divided by x²+5 would be (which one) <, , =, >, or to1. f(0) =_________ and that is the absolute maximum.

and

Use Newton's method to approximate all real roots ofx⁴x1= 0 to three consistent decimal places. (Enter your answers as a comma-separated list.)

x=

.