1. Use Secant Method for \( f(x)=-12-21 x+18 x^{2}-2.4 x^{3} \) and compute the value of \( x \) and \( \varepsilon_{l} \) at \( i=2, x_{l}= \) -1 , and \( x_{0}=0 \).
a. -0.4524 and \( 9.36 \% \)
b. -0.4542 and \( 9.36 \% \)
c. -0.2899 and \( 30.22 \% \)
d. -0.4542 and \( 36.19 \% \)
c. -0.2899 and \( 9.36 \% \)
2. For the given function \( f(x)=-12-21 x+18 x^{2}-2.4 x^{3} \), use Secant Method at \( x_{i}=6.5 \) and \( x_{0}=7 \) to find the value of \( x \) and \( \varepsilon_{a} \) if \( \varepsilon_{s}=2.5 \% \).
a. 6.0565 and \( 1.025 \% \)
b. 5.9268 and \( 1.025 \% \)
c. 6.0565 and \( 2.188 \% \)
.d. 5.8667 and \( 1.025 \% \)
e. 5.9268 and \( 2.188 \% \)
3. For the given function \( f(x)=-12-21 x+18 x^{2}-2.4 x^{2} \), use Modified Secant Method at \( x_{0}=-1 \) and \( \delta= \) 0.01 to determine the value of \( x \) at \( i=2 \).
a. -0.5439
b. 0.4241
c. 0.5439
3.4752
d. 0.4843
e. -0.4241
4. Which of the following initial value \( x_{0} \) that converges to the root \( x=0.214332 \) of a function \( f(x)=-1+ \) \( 5.5 x-4 x^{2}+0.5 x^{3} \) using Newton-Raphson method?
a. 1
(b.) 2
8.461
c. 3
d. 4
e. 5
\( O A^{17}{ }^{B} \)
