EasyRoundingnumerical-methods-001
Chapter 14 practice bank
100 questions:
Numerical Methods
Solve on paper first. Reveal only the final answer when you want to check yourself. There are no worked solutions in this bank by design.
34 easy 33 medium 33 advanced
EasyAbsolute errornumerical-methods-002
If the true value is 11 and the approximation is 10.7, find absolute error.
EasyRelative errornumerical-methods-003
The true value is 7 and absolute error is 1. What is relative error?
EasyCentred differencesnumerical-methods-004
Use [f(x+h)−f(x−h)]/(2h) with h=0.1 to estimate f′(4) for f(x)=x².
EasyForward differencesnumerical-methods-005
Use [f(x+h)−f(x)]/h with h=0.1 to estimate f′(5) for f(x)=x².
EasyTrapezoidal rulenumerical-methods-006
Use one trapezoid to integrate f(x)=x from 0 to 7.
EasySimpson's rulenumerical-methods-007
Use Simpson's rule with two subintervals to integrate 2x² from 0 to 2.
EasyBisectionnumerical-methods-008
An interval has width 32. What is its width after 5 bisections?
EasyNewton's methodnumerical-methods-009
For x²−2=0, take one Newton step from x₀=1.
EasyResidualsnumerical-methods-010