Question One.

Use an appropriate method to find the root ofx³ +x+ 1 = 0 correct to 2 decimal places. Start with initial interval -0.8 and -0.6. Show all working.

Question Two.

Human blood pressureP(in mm of mercury) varies periodically with time (tin seconds). The first time during the first second of a cycle when the pressurePis 90 mm can be expressed by:

80 + 300t- 2700t³ = 90

or:

f(t) = 2700t³ - 300t+ 10 = 0

Take an initial value oft= 0.05 seconds and use a method different to Question One to find a solution tof(t) = 0 accurate to 4 decimal places.