a) A sudden electrical surge is known to cause a nearly one-second-long power spike in an electrical system. The behaviour of the system during the spike has been studied, and during that event the power (in kW) is modelled as: P(t) = sin(t) - t5 i) Determine the maximum power that the system must be designed, in order to handle the electrical surge, to a relative error of 0.01%. ii) After how many iterations will the methid converge.   b) Perform 3 steps of the secant method for the function f(x) = x2 - 2, starting with x-1 = 0 and x0 = 1

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a) A sudden electrical surge is known to cause a nearly one-second-long power spike in an electrical system. The behaviour of the system during the spike has been studied, and during that event the power (in kW) is modelled as:

P(t) = sin(t) - t5

i) Determine the maximum power that the system must be designed, in order to handle the electrical surge, to a relative error of 0.01%.

ii) After how many iterations will the methid converge.

 

b) Perform 3 steps of the secant method for the function

f(x) = x2 - 2, starting with x-1 = 0 and x0 = 1

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