A physicist is measuring the net magnetic flux density BBB inside a custom solenoid as the control current III is adjusted. The physicist correctly evaluates the flux density at two specific current levels:
B(−5)=−2 and B(5)=2 B(-5) = -2 \text{ and } B(5) = 2 B(−5)=−2 and B(5)=2and concludes that there must be an equilibrium current level in the interval I∈(−5,5)I \in (-5, 5)I∈(−5,5) where the flux density is exactly zero (B=0B = 0B=0), citing the change of sign. For which of the following models for B(I)B(I)B(I) is this conclusion incorrect?
80 exam-style questions on Edexcel A Level Maths Numerical Methods, covering 10.1 Locating Roots, 10.2 Iteration, 10.3 The Newton-Raphson Method, and 10.4 Applications to Modelling. Each one has a worked solution and a mark scheme showing where the marks go.