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Concept explainers
Modeling Data
The table shows [he numbers of cell phone subscribers (in millions) in the United States for selected years. (Source: CTIA-The Wireless Association)
Year | 2000 | 2002 | 2004 | 2006 |
Number | 109 | 141 | 182 | 233 |
Year | 2008 | 2010 | 2012 | 2014 |
Number | 270 | 296 | 326 | 355 |
(a) Use die regression capabilities of a graphing utility to find a mathematical model of the form
(b) Use a graphing utility to plot the data and graph the model. Compare the data with the model.
(c) Use the model to predict the number of cell phone subscribers in the United Sates in the year 2024.
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Chapter 1 Solutions
CALC.,EARLY TRANSCEND..(LL)-W/WEBASSIGN
- 1. One of the partial fractions for 2 2 4x²+x-9 x3+2x²-3x a) x3 b) x11 c) x² d) z x-1 2. Identify the improper integral. 1 x 2 x dx a) 3x dx b) f² 3x dx 0 3-2x 0 3-2x x is c) √2^: 4 √232x dx d) fo² 3x dx 1 1 0 3-2x B. So eax dx converges to if : a) O if a0 c) - 1½ ifa 0arrow_forwardComplete the square and find the indefinite integral. (Remember to use absolute values where appropriate. Use C for the constant of integration.) dx x²-12x+27arrow_forwardComplete the table. Enter DNE if a quantity doesn't exist or NEI if not enough information is given. f(c) limx-->c- f(x) limx-->c+ f(x) limx -->c f(x) continuity at x=c 2 4arrow_forward
- Find the indefinite integral. (Use C for the constant of integration.) 9x arcsin(x) dxarrow_forwardFind the indefinite integral using the substitution x = 5 sin(e). (Use C for the constant of integration.) 1 dx (25-x²)3/2arrow_forwardFind the indefinite integral using the substitution x = 7 sec(0). (Use C for the constant of integration.) √ ׳ √x² - 49 dxarrow_forward
- 2 Graph of h 6. The graph of the function h is given in the xy-plane. Which of the following statements is correct? , the graph of h is increasing at an increasing rate. (A) For (B) For (C) For 苏|4 K|4 π π , the graph of h is increasing at a decreasing rate. 2 0 and b>1 (B) a>0 and 01 (D) a<0 and 0arrow_forward3. Consider the sequences of functions fn: [-T, π] → R, sin(n²x) n(2) n (i) Find a function f : [-T, π] R such that fnf pointwise as n∞. Further, show that f uniformly on [-T,π] as n→ ∞. [20 Marks] (ii) Does the sequence of derivatives f(x) has a pointwise limit on [-7,π]? Justify your answer. [10 Marks]arrow_forwardGood Day, Please assist with the following. Regards,arrow_forwardFor each given function f(x) find f'(x) using the rules learned in section 9.5. 1. f(x)=x32 32x 2. f(x)=7x+13 3. f(x) = x4 4. f(x) = √√x³ 5. f(x) = 3x²+ 3 x2arrow_forwardFind: lim x →-6 f (x) limx-4 f (x) lim x-1 f (x) lim x →4 f (x) (-6,3) • (-1,5) -8 -7 (-6,-2) 4+ (4,5) (4,2) • (-1,1) -6arrow_forward3 2 Find: ƒ(1) lim f(x) 14-x 2 ƒ(2) lim f(x) x-2- lim f(x) x+2+ lim f(x) x→4 3 y=f(x)arrow_forwardarrow_back_iosSEE MORE QUESTIONSarrow_forward_ios
- Algebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:CengageBig Ideas Math A Bridge To Success Algebra 1: Stu...AlgebraISBN:9781680331141Author:HOUGHTON MIFFLIN HARCOURTPublisher:Houghton Mifflin Harcourt
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