Rational Expressions and Equations Find all real solutions. Be sure to check for extraneous solutions. Show all work and steps. 3y-1/ y^2 + 1 = 1 y = 1, 2
solve the rational equation check extraneous solutions x2-2x+1/x3+x2-2x=1 -x2+4x/x2-9=4x
Solutions to Radical Equations Explain why possible solutions to a radical equation must be checked to determine the actual solutions.
Solve for the variable. Identify any extraneous solutions. If no solution exists, explain why. Solve for y: Solve for y: x=y=3 x=> -y+2 y-3
(a) What kind of functions can be decomposed into Fourier series and what 10 into Fourier integral? man (b) When analysing stability of equilibrium states in various physical prob- lems, why do we suppose variations about equilibrium values to be Small? (c) In which physical problems do we come across Bessel's equations (men- tion one or two problems commenting on symmetry properties of solu- tions)? (d) When solving the wave or heat equation by separation of variables, we first seek...
Extraneous variables may have an influence on the dependent variable. In what ways do researchers attempt to control extraneous variables? Support your answer with current literature.
Show that solutions to Maxwell’s equations (for E⃗ and B⃗ ) satisfy the wave equation, thus predicting that the solutions (EM waves) are in fact traveling waves.With what speed do the waves travel?
Without solving, determine whether the solutions of the equation are real numbers or complex, but not real numbers. (x + 3)2 = 6 What are the solutions? O complex, but not real numbers O real numbers
Find the Wronskian of two solutions of the given differential equation without solving the equation. 9. x'y'+xy(2-y 0, Bessel's equation 10. (I-x)y"-2xy+a(a+y-0, Legendre's equation
Solve the radical equation, check all proposed solutions. sqaurae root of 28x-28= x+6