A function f(x) is said to have a removable discontinuity at x = a if both...
Fantastic news! We've Found the answer you've been seeking!
Question:
Transcribed Image Text:
A function f(x) is said to have a removable discontinuity at x = a if both of the following conditions hold: 1. f is either not defined or not continuous at x = a. 2. f(a) could either be defined or redefined so that the new function is continuous at x = a. Show that x² + 12x +39 if x-6 if x = -6 f(x) = 0 -X 12x33 if x > -6 has a removable discontinuity at x = -6 by (a) verifying (1) in the definition above, and then (b) verifying (2) in the definition above by determining a value of f(-6) that would make f continuous at x=-6. f(-6)= would make f continuous at a = -6. Now draw a graph of f(x). It's just a couple of parabolas! A function f(x) is said to have a removable discontinuity at x = a if both of the following conditions hold: 1. f is either not defined or not continuous at x = a. 2. f(a) could either be defined or redefined so that the new function is continuous at x = a. Show that x² + 12x +39 if x-6 if x = -6 f(x) = 0 -X 12x33 if x > -6 has a removable discontinuity at x = -6 by (a) verifying (1) in the definition above, and then (b) verifying (2) in the definition above by determining a value of f(-6) that would make f continuous at x=-6. f(-6)= would make f continuous at a = -6. Now draw a graph of f(x). It's just a couple of parabolas!
Expert Answer:
Answer rating: 100% (QA)
Answer Solution Graph fa2 12x 43 4 212129 276 to be contin... View the full answer
Related Book For
Calculus Early Transcendentals
ISBN: 9781337613927
9th Edition
Authors: James Stewart, Daniel K. Clegg, Saleem Watson, Lothar Redlin
Posted Date:
Students also viewed these accounting questions
-
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 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 random variable X is said to have a standard normal distribution if X is absolutely continuous with density given by dPx Construct (ie, give an example of) a probability space (,F,P) and a random...
-
For Wilder Corporation, sales is $1,600,000 (8,000 units), fixed expenses are $480,000, and the contribution margin per unit is $80. What is the margin of safety in dollars?
-
Sonic, Inc., sells business software. Currently, all of its programs come on disks. Due to their complexity, some of these applications occupy as many as seven disks. Not only are the disks...
-
Small amounts of a nonvolatile, nonelectrolyte solute and a volatile solute are each dissolved in separate beakers containing 1 kg of water. If the number of moles of each solute is equal: a. Which...
-
A firm that is planning to market a new cleaning product surveyed 1268 users of the leading competitors product. Each person rated the product as fair, good, or excellent. In addition, each person...
-
On July 1, 2016, Killearn Company acquired 88,000 of the outstanding shares of Shaun Company for $13 per share. This acquisition gave Killearn a 25 percent ownership of Shaun and allowed Killearn to...
-
You are considering an investment in Fields and Struthers, Inc., and want to evaluate the firm s free cash flow. From the income statement, you see that Fields and Struthers earned an EBIT of $ 8 2...
-
A steam power plant operates on an ideal reheat regenerative Rankine cycle with one reheater and two feedwater heaters, one open and one closed. Steam enters the high-pressure turbine at 15 MPa and...
-
A physical count of inventory was done at the year end, resulting in $239,000 in inventory. Beermann Craft Brews uses a Periodic Inventory System: Calculate Cost of Goods Sold for the year What...
-
A passenger train traveled 120 miles in the same amount of time it took a freight train to travel 70 miles. The rate of the freight train was 30 miles per hour slower than the rate of the passenger...
-
Medical technology has an impact on quality of care, quality of life, healthcare costs, access, the structures and processes of the health care delivery, global medical practice, and bioethics. Which...
-
If the estimated rate of gross profit is 30%, what is the estimated cost of the merchandise inventory on September 30, based on the following data? Sep. 1 Merchandise inventory (at cost) Sep. 1-30...
-
Q5 Write a Program: Slicing and Concatenation 10 Points Write a function between e(word) that takes in a string representing a single lowercase English word containing exactly two 'e's, and returns...
-
Calculate the energy stored for the series-parallel combination shown in figure if C1 = 2uF, C = 1.6F, C3 = 4.3F, C = 6F, and C5 = 8F and charged to a potential difference of 3200- V. (11pnts) C3 HH...
-
Discuss the various strategies for measurement of capacity?
-
Provide an example of an aggressive accounting practice. Why is this practice aggressive?
-
Evaluate the line integral by two methods: (a) Directly (b) Using Greens Theorem. C is the circle with center the origin and radius 4. $cy dx x dy,
-
Sketch the vector field F by drawing a diagram like Figure 5 or Figure 9. F(x, y) = i + 1/2 j y F (0, 3) F (2, 2) 2+ F (1, 0) -2 FIGURE 5 F(x, y) =-yi+xj 2.
-
(a) Set up an integral for the volume of the solid obtained by rotating the region bounded by the given curve about the specified axis. (b) Use a calculator or computer to evaluate the integral...
-
(a) Describe the effect of temperature on the equilibrium constant. (b) Industrial \(\mathrm{CH}_{3} \mathrm{OH}\) is prepared according to the reaction \[ \mathrm{CO}(\mathrm{g})+2...
-
Mention the areas of application of the fuel cell.
-
Estimate the standard free energy change and equilibrium constant at \(700 \mathrm{~K}\) for the reaction \[ \mathrm{N}_{2}(\mathrm{~g})+3 \mathrm{H}_{2}(\mathrm{~g})=2 \mathrm{NH}_{3}(\mathrm{~g})...
Study smarter with the SolutionInn App