The equation ax 2 + 2x - 1 = 0, where a is a constant, has two
Question:
The equation ax2 + 2x - 1 = 0, where a is a constant, has two roots if a > -1 and a ≠ 0, one positive and one negative:
a. What happens to r+(a) as a→ 0? As a→ -1+?
b. What happens to r-(a) as a→ 0? As a→ -1+?
c. Support your conclusions by graphing r+(a) and r-(a) as functions of a. Describe what you see.
d. For added support, graph ƒ(x) = ax2 + 2x - 1 simultaneously for a = 1, 0.5, 0.2, 0.1, and 0.05.
Transcribed Image Text:
a D + IA - I- = (1)-1 a D + IA + I- = r+(a)
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 71% (7 reviews)
a To find what happens to ra as a approaches 0 and as a approaches 1 from the right we can use limit...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
Thomas Calculus Early Transcendentals
ISBN: 9780321884077
13th Edition
Authors: Joel R Hass, Christopher E Heil, Maurice D Weir
Question Posted:
Students also viewed these Mathematics questions
-
The following additional information is available for the Dr. Ivan and Irene Incisor family from Chapters 1-5. Ivan's grandfather died and left a portfolio of municipal bonds. In 2012, they pay Ivan...
-
If a single constant force acts on an object that moves on a straight line, the objects velocity is a linear function of time. The equation v = vi + at gives its velocity v as a function of time,...
-
The figure shows a fixed circle C1 with equation (x 1)2 + y2 = 1 and a shrinking circle C2 with radius and center the origin. P is the point (0, r), Q is the upper point of intersection of the two...
-
Barnaby is a farmer who receives two-thirds of his total income from the sale of oranges. After two consecutive years of early frosts that destroyed his orange harvest, Barnaby found himself deep in...
-
Connie Stevens is a partner in a regional accounting firm. Ms. Stevens was hired by a client to audit the companys books. After extensive work, Ms. Stevens determined that she was unable to perform...
-
At the end of the current year, Cuppa Joes' Inventory account balance was $12,600. A physical count of the inventory revealed that inventory on hand totalled $12,200. What amount should Cuppa Joes...
-
Why is it sometimes necessary to serve a subpoena for production of documents?
-
A firm implementing a diversification strategy has just acquired what it claims is a strategically related target firm but announces that it is not going to change this recently acquired firm in any...
-
Investigate the integration of advanced risk management frameworks, such as Monte Carlo simulation and decision tree analysis, into construction project planning and execution processes, enabling...
-
A partially completed worksheet for At Home Pet Grooming Service, a firm that grooms pets at the owner's home, follows. INSTRUCTIONS 1. Record balances as of December 31 in the ledger accounts. 2....
-
Using the definition, calculate the derivatives of the function. Then find the values of the derivatives as specified. r(s) = 2s + 1; r'(0), r'(1), r'(1/2)
-
Using the definition, calculate the derivatives of the function. Then find the values of the derivatives as specified. g(t) g'(1), g'(2), g'(3) =
-
Solve the inequality |x + 2k| |x 3k| where k is a positive constant.
-
Why is there a trend toward reshoring, and how can reshoring relate to sustainability?
-
The effective global leader should be able to inspire and influence the thinking, attitudes, and behavior of people. Why is this such an important part of the leadership role?
-
Describe four cultural dimensions identified in the GLOBE Project. Give some concrete examples where they can help managers to be more successful.
-
Rather than traditional, culturally conditioned modes of leadership, todays successful global leaders need to have a global mindset. How does a global mindset compare to a traditional mindset?
-
How does understanding culture relate to a contingency management style? Can you cite some examples?
-
The income statement for JB Hi-Fi Ltd for the financial year ended 30 June 2011 was provided in figure 5.1. It reports that JB Hi-Fi has increased its gross profit from $594.2 million in 2010 to...
-
What are the before image (BFIM) and after image (AFIM) of a data item? What is the difference between in-place updating and shadowing, with respect to their handling of BFIM and AFIM?
-
In problem, use the given function f to: (a) Find the domain of f. (b) Graph f. (c) From the graph, determine the range and any asymptotes of f. (d) Find f -1 , the inverse of f. (e) Find the domain...
-
In problem, the function f is one-to-one. Find its inverse and check your answer. Graph f, f -1 , and y = x on the same coordinate axes. f(x) = 1/x - 2
-
If the amount that $1000 will purchase is only $950 after 2 years, what was the average inflation rate? Inflation problem require the following discussion. Inflation is a term used to describe the...
-
A simple random sample of front-seat occupants involved in car crashes is obtained. Among 2762 occupants not wearing seat belts, 27 were killed. Among 7890 occupants wearing seat belts, 16 were...
-
If a price-demand equation is solved for p, then price is expressed as p= g(x) and x becomes the independent variable. g(x) Use the given price-demand In this case, it can be shown that the...
-
Find all solutions by factoring. m 7m+ 10 = 0
Study smarter with the SolutionInn App