Which value must you assign to a so that f(x) is continuous at x = 5?...
Fantastic news! We've Found the answer you've been seeking!
Question:
Transcribed Image Text:
Which value must you assign to a so that f(x) is continuous at x = 5? 5+4x-x² x-5 f(x) = If a = a x #5 x=5 then f(x) is continuous at x = 5. Find the limit. 2x-1 lim x→0 ex-1 - 1 lim X X-0 e - 1 Evaluate the limit. 2x²2² +2 lim X→∞0 8x+4-9x² 2 Determine the limit. 3 7x-5x 13x³ + 5x lim X→-∞ --00 lim f(x) = (Type an integer or a simplified fraction.) X→-00 Evaluate the limit. e -X lim X→∞0 5+6e¯X Evaluate the limit. 8 lim X→-∞ 8+e¯X A population model is used to describe how the rate of reproduction of organisms depends on the amount of nutrients that are available. The model shows how the rate of division of E. coli cells depends upon the amount of sugar added to their growth flask. If r is the rate of reproduction (number of divisions in one hour) and C is the amount of glucose sugar added to the growth medium measured in moles, then the following applies. r(C)= 1.31C C+0.27x10-4 (a) Show that the reproduction rate goes to zero when the sugar level is low; that is lim r(C) = 0. C-0 Since r is continuous at C=0, lim_ r(C)=r() = C+0 1.31 ( +0.27x10-4 = 0. Which value must you assign to a so that f(x) is continuous at x = 5? 5+4x-x² x-5 f(x) = If a = a x #5 x=5 then f(x) is continuous at x = 5. Find the limit. 2x-1 lim x→0 ex-1 - 1 lim X X-0 e - 1 Evaluate the limit. 2x²2² +2 lim X→∞0 8x+4-9x² 2 Determine the limit. 3 7x-5x 13x³ + 5x lim X→-∞ --00 lim f(x) = (Type an integer or a simplified fraction.) X→-00 Evaluate the limit. e -X lim X→∞0 5+6e¯X Evaluate the limit. 8 lim X→-∞ 8+e¯X A population model is used to describe how the rate of reproduction of organisms depends on the amount of nutrients that are available. The model shows how the rate of division of E. coli cells depends upon the amount of sugar added to their growth flask. If r is the rate of reproduction (number of divisions in one hour) and C is the amount of glucose sugar added to the growth medium measured in moles, then the following applies. r(C)= 1.31C C+0.27x10-4 (a) Show that the reproduction rate goes to zero when the sugar level is low; that is lim r(C) = 0. C-0 Since r is continuous at C=0, lim_ r(C)=r() = C+0 1.31 ( +0.27x10-4 = 0.
Expert Answer:
Answer rating: 100% (QA)
Solutions Step 1 Given that fx 54xx 2 x5 x 5 x5 To find for what value of the ... View the full answer
Related Book For
Posted Date:
Students also viewed these mathematics questions
-
What is a branch delay slot and why does it arise? [7 marks] How can branch delays be avoided? If a processor exhibited one branch delay slot how would you reorder (and possibly modify) the...
-
QUIZ... Let D be a poset and let f : D D be a monotone function. (i) Give the definition of the least pre-fixed point, fix (f), of f. Show that fix (f) is a fixed point of f. [5 marks] (ii) Show that...
-
A standard "35-mm" slide measures 24.0 mm by 36.0 mm. Suppose a slide projector produces a 60.0-cm by 90.0-cm image of the slide on a screen. The focal length of the lens is 12.0 cm. (a) What is the...
-
The Standard and Poor's Index measures the price of a certain collection of 500 stocks. Table 3 on the next page compares the percentage change in the index during the first 5 business days of...
-
A retailer reduced his prices by 15% for a fall sale. what was the regular price of an item on sale at $123.25?
-
Choose the most recent annual report of two Australian or New Zealand publicly listed companies (other than Woolworths Group Ltd). Locate the remuneration report and the financial statement notes...
-
Helen obtained an insurance policy insuring her life and naming her niece Julie as beneficiary. Helen died, and about a year later the policy was found in her house. When Julie claimed the insurance...
-
What two different types of firmware may be used on motherboards? a. POST b. UEFI c. CMOS d. BIOS
-
Recall Exercise 5.2.4 where researchers Wilt et al. (New England Journal of Medicine, 2012) investigated whether surgery, compared to just observation, was (more) effective in improving mens survival...
-
From your experience and from what you read, consider differences in the role that sports programming might play in the lives of all members of a household. Come to a conclusion about how sports...
-
On Dec. 8, Sheffield Company discounted at Sunshine Bank a $7,200 (maturity value), 122-day note dated Sept. 12. Sunshine's discount rate was 9%. (Use Days in a year table.) What proceeds did...
-
What are the implications of globalization and interconnectedness for the developmental pathways of advanced economies, particularly concerning issues of inequality, labor markets, and innovation...
-
If a stock went down from $24.50 to $23.80 last week, and the S&P500 (representing the market) went from 1,951 to 1,932 last week, what would be the implied beta for the stock (if this is the only...
-
McCue Inc.'s bonds currently sell for $1,245. They pay a $80 annual coupon, have a 7-year maturity, and a $1,000 par value, but they can be called in 4 years at $1,080. Assume that no costs other...
-
A lack of access to preventative care affects an entire community and costs healthcare systems an exorbitant amount of money. thoroughly examine this problem, its past and present impact, and its...
-
Based on how this business owner describes her business, write a one- or two-sentence organizational mission statement for Mi Ola Swimwear. Choose four of the following six categories: strategic...
-
Frontland Advertising creates, plans, and handles advertising campaigns in a three-state area. Recently, Frontland had to replace an inexperienced office worker in charge of bookkeeping because of...
-
State the type of the quadric surface and describe the trace obtained by intersecting with the given plane. x + () + z = 1, z || 1 + 4
-
Assume that the radius r of a sphere is expanding at a rate of 30 cm/min. The volume of a sphere is V = 43 r 3 and its surface area is 4r 2 . Determine the given rate. Volume with respect to time at...
-
What are the limits of integration in if the integration extends over the following spherical regions centered at the origin? (a) Sphere of radius 4 (b) Region between the spheres of radii 4 and 5...
-
Cairo Corporation has government bonds classified as held-for-collection at December 31, 2015. These bonds have a par value of \($800\),000, an amortized cost of \($800\),000, and a fair value of...
-
On January 1, 2015, Meredith Corporation purchased 25% of the ordinary shares of Pirates Company for 200,000. During the year, Pirates earned net income of 80,000 and paid dividends of 20,000....
-
On January 2, 2015, MacCloud Co. issued a 4-year, 100,000 note at 6% fixed interest, interest payable semiannually. MacCloud now wants to change the note to a variable-rate note. As a result, on...
Study smarter with the SolutionInn App