Determine how the number of real roots of the equation

Assignment Help Physics

Reference no: EM13963101

1. Determine how the number of real roots of the equation

g(x) = 4x3 - 17x2 + 10x + k = 0

depends upon k. Are there any cases for which the equation has exactly two distinct real roots?

1.3 Continue the analysis of the polynomial equation

f(x) = x7 + 5x6 + x4 - x3 + x2 - 2 = 0,

investigated in subsection 1.1.1, as follows.

(a) By writing the ?fth-degree polynomial appearing in the expression for ft(x) in the form 7x5 + 30x4 + a(x - b)2 + c, show that there is in fact only one positive root of f(x) = 0.

(b) By evaluating f(1), f(0) and f(-1), and by inspecting the form of f(x) for negative values of x, determine what you can about the positions of the real roots of f(x) = 0.

Reference no: EM13963101

Questions Cloud

In dc and ac circuits have enough power to support all loads : If an AC circuit you do not need to worry about current limiting resistors cause motors and coils, and transformers that use AC only consume what current they need when run and do not blow up unless there is a short then the current goes straight ..

What other backup strategies might mvch pursue : Should MVCH adopt continuous data protection (CDP) systems? Why or why not? What other backup strategies might MVCH pursue? Give reasons to your answers.

Project and firm duration : Which of the following types of firms should be most likely to use project- specific financing (as opposed to financing the portfolio of projects)?

What is the energy density inside the solenoid : Calculate the energy stored in the inductor one characteristic time interval after the switch is closed

Determine how the number of real roots of the equation : Determine how the number of real roots of the equation g(x) = 4x3 - 17x2 + 10x + k = 0, depends upon k. Are there any cases for which the equation has exactly two distinct real roots?

What performance indicators could be used to measure success : Discuss what performance indicators could be used to measure success. A discussion of any issues or problems identified with respect to the process.

What is the value of the inductance in this circuit : The phase angle of an RLC series circuit with a capacitive reactance of 40 ohms, a resistor of 100 ohms and a certain inductor at 1000 Hz is 40.0 degrees. What is the value of the inductance in this circuit?

What is the probability that an incoming delivery takes less : The processing time for an incoming delivery at ABC Inc.'s warehouse follows an exponential distribution. The average processing time is 12.5 minutes. What is the probability that an incoming delivery takes less than 10 minutes to process

Prepare a plot of absorbance versus concentration : Prepare a plot of absorbance versus concentration for your four standard solutions. Fit a line to this plot, and determine the equation of the best-fit line.

User Account

All Pages