The curve y = x 3 + 5x 1 cuts the x-axis at the point (,
Question:
The curve y = x3 + 5x − 1 cuts the x-axis at the point (α, 0).
a. By sketching the graph of y = x3 and one other suitable graph, deduce that this is the only point where the curve y = x3 + 5x − 1 cuts the x-axis.
b. Using calculations, show that 0.1< α < 0.5.
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 63% (11 reviews)
a The graph of y x3 is a cubic function passing through the origin The graph of y 5x 1 ...View the full answer
Answered By
Darwin Romero
I use a hands-on technique and am approachable to my students. I incorporate fun into my lessons when possible. And while my easy-going style is suitable for many subjects and grades, I am also able to adapt my style to the needs of the student. I can describe myself as friendly, enthusiastic and respectful. As a teacher, we can easily get respect from the students if they would feel respected first
0.00
0 Reviews
10+ Question Solved
Related Book For
Cambridge International AS & A Level Mathematics Pure Mathematics 2 & 3 Coursebook
ISBN: 9781108407199
1st Edition
Authors: Sue Pemberton, Julianne Hughes, Julian Gilbey
Question Posted:
Students also viewed these Mathematics questions
-
Express the function in the form fo g. (Use non-identity functions for f and g.) x 9+x F(x) {f(x), g(x)} = Need Help? Read It Watch It Talk to a Tutor
-
a. Show, by calculation, that (x + 2)e 5x = 1 has a root between x = 0 and x = 0.2. b. Show, by sketching the graph of y = e 5x and one other suitable graph, that this is the only root of this...
-
The equation (x 0.5) e 3x = 1 has a root . a. Show, by sketching the graph of y = e 3x and one other suitable graph, that is the only root of this equation. b. Use the iterative formula x h+1 = e...
-
Varatta Enterprises sells industrial plumbing valves. The following table lists the annual sales amounts for a portion of the salespeople in the organization for the most recent fiscal year. Click on...
-
What are the types of communications budgets? What is the best method of budgeting?
-
Figure P18-39 shows two similar unit pulse waveforms. The only difference is that the first pulse is positive from \(-T / 2\) to \(T / 2\), while the second pulse goes from \(+\mathrm{A}\) to...
-
Following are errors, frauds, or other circumstances that an auditor might encounter as a result of applying substantive tests to cash balances as of December 31. a. The petty cash fund is short $75....
-
The unadjusted trial balance of Williamson Anvils at December 31, 2016, and the data for the adjustments follow: Adjustment data: a. Unearned Revenue still unearned at December 31, $3,300. b. Prepaid...
-
Five resistors 3.10, 30, 4.20, 5.10 and 6.802, are connected in parallel. This combination is then connected in series with a 13.10 resistor. Calculate the total resistance of the combination and the...
-
a. By sketching a suitable pair of graphs, show that the equation x 3 + 10x = x + 5 has only one root that lies between 0 and 1. b. Use the iterative formula with a suitable value for x 1 , to find...
-
a. By sketching graphs of y = x 3 + 5x 2 and y = 5 2x, determine the number of real roots of the equation x 3 + 5x 2 + 2x 5 = 0. b. Verify by calculation that the largest root of x 3 + 5x 2 + 2x 5...
-
Use a graphing calculator to graph each function defined as follows, using the given viewing window. Use the graph to decide which functions are one-to-one. If a function is one-to-one, give the...
-
Are the asymmetric information problems associated with the international firms more severe than those for local (domestic) firms? Explain. Different regulation in terms of tax, accounting standard,...
-
You are auditing the financial statements of a cosmetics distributor that sells thousands of individual items. The distributor keeps its inventory in its distribution center and in two public...
-
Carranza a nonexempt salesperson with Verent Enterprises earns a base annual salary of $ 3 0 , 5 0 0 with a standard 4 0 hour workweek. In addition a 3 percent commission on all sales during the pay...
-
Henrich is a single taxpayer. In 2 0 2 3 , his taxable income is $ 5 3 0 , 0 0 0 . What are his income tax and net investment income tax liability in each of the following alternative scenarios? Use...
-
Lehman Dairy leases its milking equipment from Chavez Finance Company under the following lease terms. The lease term is 8 years, non - cancelable, and requires equal rental payments due at the...
-
An investor holds two stocks, each of which can rise (R), remain unchanged (U), or decline (D) on any particular day. Let x equal the number of stocks that rise on a particular day. a. Write the...
-
This problem continues the Draper Consulting, Inc., situation from Problem 12-45 of Chapter 12. In October, Draper has the following transactions related to its common shares: Oct 1 Draper...
-
What is the probability of selecting either a 2 or a 4 (of any suit) from a standard deck of cards?
-
If height is normally distributed with a mean of 68 inches and a standard deviation of 5 inches, what is the probability of selecting someone who is 70 inches or taller?
-
For the distribution described in exercise 4, what is the probability of selecting someone who is 64 inches or shorter? Data from exercise 4 If height is normally distributed with a mean of 68 inches...
-
Write the following member methods, and add the appropriate code in the main application to invoke them: a. count(): returns the number of nodes in the linked list b. display PreSucc(T val): displays...
-
In a reflection of 100 words or more, please write down: - Were you surprised by what you discovered? Why or why not? - What did you learn about how you can predict whether a trait will be recessive...
-
Write a code suitable to use for Arduino to measure strain in units of (microstrain). The hardware will be three resistors and the strain gauge forming a Wheatstone bridge. R R2 Hil R3 strain gauge...
Study smarter with the SolutionInn App