A function f(x) is said to have a jump discontinuity at x = a if: 1....
Fantastic news! We've Found the answer you've been seeking!
Question:
Transcribed Image Text:
A function f(x) is said to have a jump discontinuity at x = a if: 1. lim f(x) exists. x→a 2. lim f(x) exists. x→a 3. The left and right limits are not equal. Let f(x) = 5x7, if x < 2 1 if x ≥ 2 x + 9' Show that f(x) has a jump discontinuity at x = 2 by calculating the limits from the left and right at x = 2. lim f(x) x 2 lim f(x) I 2+ Now for fun, try to graph f(x). Note: You can earn partial credit on this problem. A function f(x) is said to have a jump discontinuity at x = a if: 1. lim f(x) exists. x→a 2. lim f(x) exists. x→a 3. The left and right limits are not equal. Let f(x) = 5x7, if x < 2 1 if x ≥ 2 x + 9' Show that f(x) has a jump discontinuity at x = 2 by calculating the limits from the left and right at x = 2. lim f(x) x 2 lim f(x) I 2+ Now for fun, try to graph f(x). Note: You can earn partial credit on this problem.
Expert Answer:
Related Book For
Calculus Early Transcendentals
ISBN: 978-0321947345
2nd edition
Authors: William L. Briggs, Lyle Cochran, Bernard Gillett
Posted Date:
Students also viewed these accounting questions
-
A random variable X is said to have a beta distribution with parameters a and if and only if the density function of X is (a) Show that (b) Show that a. > 0; 0
-
A continuous random variable X is said to have a uniform distribution on the interval [a, b] if the PDF has the form (a) Find the probability that the value of A' is closer to a than it is to b. (b)...
-
A joint random variable (X1, X2) is said to have a bivariate normal distribution if its joint density is given by for (a) Show that E(X1) = μX1 and E(X2) = ÏX2. (b) Show that...
-
Maria is opposed to the idea of same-sex marriage. In a recent conversation in the school cafeteria, Maria argues, "If homosexuals are allowed to marry, then why not allow polygamy or other kinds of...
-
The Haines Corp. shows the following financial data for 2012 and 2013. For each year, compute the following and indicate whether it is increasing or decreasing profitability in 2013 as indicated by...
-
The saturation concentration of dissolved oxygen in water as a function of temperature and chloride concentration is listed Table P20.3. Use interpolation to estimate the dissolved oxygen level for T...
-
Founded in 1966 as a trader of oil and oil products, Vitol is a company with no external shareholders. All shareholders are also employees. It is a conglomerate company of energy companies that work...
-
Jurassic Company owns machinery that cost $900,000 and has accumulated depreciation of $380,000. The present value of expected future net cash flows from the use of the asset are expected to be...
-
Tl-208 decays through a beta emission and has a half-life of 3.05 minutes. Besides the beta emission, there are several gamma rays associated with the decay and these gamma emissions occur at...
-
A horizontal straight wire 5 cm long of a mass 1.2g/m is placed perpendicular to a uniform magnetic field of 0.6 T. If the resistance of the wire 3.8 ohms/m. Calculate the potential difference that...
-
The Post Office wants to establish a weekly schedule that can be reused for the future. The Post Office hires both full-time and part-time employees that work 5-day shifts. In other words, if an...
-
Explain why do we call retained earnings "earned capital"? A Company was founded in 2013. Its yearly earnings and dividend payments are own here: 2013: Net income of $4,000, paid zero dividends 2014:...
-
The shareholders' equity section of Houston Corp. at December 31, Y3 was: Common shares, no par value; authorized 20,000 shares; issued and outstanding 10,000 shares $50,000 Retained earnings 200,000...
-
On January 1, 2021, Daniel Faust loaned $112,695 cash to Joyce Ladd in the form of a zero-interest-bearing note (face amount, $150,000). The note is to be repaid on December 31, 2023. The prevailing...
-
Rook Company sells video and board games. Below is last year's income statement for the board game segment: Sales $4,000,000 Variable expenses $2,600,000 Contribution margin $1,400,000 Fixed expenses...
-
Sam is an independent contractor to Quick-save, a computer service company. Sam sells the company's services and is compensated for every sale he makes. Quick-save decided to terminate its...
-
(a) A steam turbine in a small electric power plant is designed to accept 4500 kg/hr of steam at 60 bar and 500C and exhaust the steam at 10 bar. Assuming that the turbine is adiabatic and has been...
-
The Heese Restaurant Group manufactures the bags of frozen French fries used at its franchised restaurants. Last week, Heeses purchased and used 101,000 pounds of potatoes at a price of $ 0.70 per...
-
Find the area of the following regions. The region bounded by the curve y = 10/(x 2 - 2x - 24), the x-axis, and the lines x = -2 and x = 2
-
It is easily verified that the graphs of y = x 2 and y = e x have no points of intersection (for x > 0), and the graphs of y = x 3 and y = e x have two points of intersection. It follows that for...
-
Evaluate cos (ln x) dx two different ways: a. Use tables after first using the substitution u = ln x. b. Use integration by parts twice to verify your answer to part (a).
-
Identify from Cresseys research the six situational categories that cause nonshareable problems.
-
Which of the following is true with regard to Cresseys theory of crime causation? 1. For a fraud to occur, only one of the fraud triangle attributes (perceived pressure, perceived opportunity, or...
-
Identify which of the following is not considered a nonshareable problem from Cresseys research. 1 .Business reversal such as bankruptcy 2.Losses due to gambling 3. Justification of the fraud act by...
Study smarter with the SolutionInn App