Prove that (x) = x 3 + 3x 2 + 6x has precisely one real root.
Question:
Prove that (x) = ƒx3 + 3x2 + 6x has precisely one real root.
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 100% (1 review)
First note that 0 0 so has at least one real root We will ...View the full answer
Answered By
Saud Ur Rehman
Evaluating manufacturing processes by designing and conducting research programs; applying knowledge of product design, fabrication, assembly, tooling, and materials; conferring with equipment vendors; soliciting observations from operators. Developing manufacturing processes by studying product requirements; researching, designing, modifying, and testing manufacturing methods and equipment; conferring with equipment vendors. Keeping equipment operational by coordinating maintenance and repair services; following manufacturer's instructions and established procedures; requesting special service.
5.00+
1+ Reviews
10+ Question Solved
Related Book For
Question Posted:
Students also viewed these Mathematics questions
-
Prove that f (x) = x5 + 2x3 + 4x 12 has precisely one real root.
-
In the model of monopolistic competition, if firms have average cost curves, then opening trade will cause firms to the industry. D) symmetric; more efficient; enter B) different; more efficient;...
-
Find the approximations to within 104 to all the real zeros of the following polynomials using Newton's method. a. f (x) = x3 2x2 5 b. f (x) = x3 + 3x2 1 c. f (x) = x3 x 1 d. f (x) = x4 + 2x2 x...
-
After the car reaches 1 0 0 km / hthe driver immediately steps on the brakes and comes to a stop in 2 . 5 5 s . The brakes are at a distance 1 5 . 9 cm from the center of the wheel and the force they...
-
Briefly discuss the differences between (a) Convergence of U.S. GAAP with IFRS and (b) Adoption of IFRS by the U.S. Securities and Exchange Commission.
-
A rocket of initial total mass \(m_{0}\) is fired vertically up from the north pole and accelerates until the fuel, which burns at a constant rate, is exhausted. The relative nozzle velocity of the...
-
Predict the correct form of the Gibbs-Duhem equation in terms of the activity coefficient: (a) \(x_{1} \frac{d \ln \gamma_{1}}{d x_{1}}=\left(1-x_{2} ight) \frac{d \ln \gamma_{2}}{d x_{2}}\) (b)...
-
We-Clean, Inc., is a home-cleaning service. It originally specialized in serving small residential clients but recently started contracting for work in large apartment and office buildings. Julie...
-
How do I calculate the Portfolio Expected Return: You own aportfolio that has $4,600 invested in Stock X and $5,200 investedin Stock Z. What is the expected return on the portfolio if theexpected...
-
Jeremiah Restoration Company completed the following selected transactions during January: Jan. 3. Store supplies, $470. 7. Express charges on merchandise sold, $s5 (Delivery Expense). 9. Office...
-
In 1919, physicist Alfred Betz argued that the maximum efficiency of a wind turbine is around 59%. If wind enters a turbine with speed v1 and exits with speed v2, then the power extracted is the...
-
Prove that (x) = x 4 + 5x 3 + 4x has no root c satisfying c > 0. x = 0 is a root and apply Rolles Theorem. THEOREM 4 Rolle's Theorem Assume that f is continuous on [a, b] and differen- tiable on (a,...
-
About 791,000 ChineseAmericans live in New York City and Boston. The number of ChineseAmericans in New York City is 95,000 more than five times the number in Boston. How many Chinese Americans live...
-
1.Your client has an asset of USD 1 million with a liability of USD 500,000. 2.The maturity of the liability is 20 years with the yield to maturity of 4%. 3.The client's investment horizon is 3...
-
Explain how the financing option works and why it is the most viable option compared to the other options that are available. Describe how using financing to complete this project will benefit...
-
You purchased a car for $25,000 no money down at 2% annual interest rate for 6 years. What will your monthly payment?
-
The average home in Metropolis in 2008 was $241,300. In 2009, it was $263,000. The average home price in Smallville in 2008 was $128,500. In 2009, it was $154,300. If these trends continue, when will...
-
24. Assume you recommend that the Clements purchase $300,000 of additional life insur- ance on Nicholas's life. The policy you recommend is a limited pay whole life policy with premiums payable for...
-
At 95% confidence, how large a sample should be taken to obtain a margin of error of .03 for the estimation of a population proportion? Assume that past data are not available for developing a...
-
Global.asax is used for: a. declare application variables O b. all other answers are wrong O c. declare global variables O d. handle application events
-
The volume of a cell is increasing at a rate of 100/(1 + t)2 m3/s, starting from a size of 500 m3. Write pure-time differential equations to describe the above situations, find out what happens over...
-
The concentration of a toxin in a cell is increasing at a rate of 50e-2t mol/L/s, starting from a concentration of 10 mol/L. If the cell is poisoned when the concentration exceeds 30 mol/L, could...
-
A population of bacteria is increasing at a rate of 1000 / (2 + 3t)0.75 bacteria per hour, starting from a population of 106. Could this sort of growth be maintained indefinitely? When would the...
-
Part A Two forces are applied at the end of a screw eye in order to remove the post as shown in (Figure 1). Determine the angle (0 < < 90) so that the resultant force acting on the post is directed...
-
Describe in detail how the process of segmentation leads to a better and more efficient network communication. (kindly help to attain 200-250 words)
-
With the help of three examples explain what are intermediary devices and explain their role in a working network. (i want to get it roughly about 250-350 words)
Study smarter with the SolutionInn App