Chapter 1.3, Problem 23E

Find the equation of the line through (12, 11) such that the triangle bounded by this line and the axes in the first quadrant has the minimal area.

Find the derivative of the function. y=8√√x+5x 6 7

Explain how to solve all solutions of y"(x)+ay'(x)+by(x)=0 when the Characteristic Equation λ2+aλ+b=0 of the second-order linear differential equation y"(x)+ay'(x)+by(x)=0 has no real roots. Please distinguish between the two methods of "using real numbers to solve the space base" and "using complex numbers to solve the space base" and explain the key points respectively.