Question: a. Show that the equation f(x) = 0 can be written as x = 1.5 0.5e 0.8x . b. Use the iterative formula x

a. Show that the equation f(x) = 0 can be written as x = 1.5 − 0.5e−0.8xf(x) = 0.8.x. - 1 3- 2x' 3 2 , Xz;

b. Use the iterative formula xn + 1 = 1.5 − 0.5e−0.8x with x0 = 1.3 to obtain x1, x2 and x3. Hence write down one root of f(x) = 0 correct to 3 decimal places.

c. Show that the equation f(x) = 0 can be written in the form x = p ln (3 − 2x), stating the value of p.

d. Use the iterative formula xn + 1 = p ln (3 − 2xn) with x0 = −2.6 and the value of p found in part c to obtain x1, x2 and x3. Hence write down a second root of f(x) = 0 correct to 2 decimal places.

f(x) = 0.8.x. - 1 3- 2x' 3 2 , Xz;

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