Use Newton's method to find approximate solutions for each of the following equations in the given interval. The desired accuracy is stated.
a \( x^{3}-x-1=0 \)
\( [1,2] \)
2 decimal places
b \( x^{4}+x-3=0 \)
\( [1,3] \)
3 decimal places
c \( x^{3}-5 x+4.2=0 \)
\( [1,2] \)
3 decimal places
d \( x^{3}-2 x^{2}+2 x-5=0 \)
\( [2,3] \)
3 decimal places
e \( 2 x^{4}-3 x^{2}+2 x-6=0 \)
\( [-2,-1] \)
2 decimal places
