Problems 65–72, use a graphing calculator to graph the given examples of the various cases in Table 1 on page 354.
71. Logistic growth:
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- Exercise 4. Log(1 – iV3)² = a. 2Log(1 – iV3) b. Log(1+ iv3) c. 2Log(1 + iv3) d. None of thesearrow_forward3. log 12 ? A. log 3 log 4 B. 4 log 3 C. log 3 + 2 log 2 D. 3 log 4arrow_forwardIn Problems 61–74, use a graphing utility to solve each equation. Express your answer rounded to two decimal places. 61. logs(x + 1) – log4(x – 2) = 1 62. log2 (x – 1) – log6(x + 2) = 2 63. e* = -x 64. e2* = x + 2 65. e* = x² 66. e* = x 69. In x = x – 1 73. e* = In x 67. In x = -x 68. In (2x) = -x + 2 70. In x = -x? 71. e + In x = 4 72. e - In xr = 4 74. e = -In xarrow_forward
- 3. Once an antibiotic is introduced to bacteria, the number of bacteria decreases exponentially. For example, beginning with 1 million bacteria, the amount present t days from the time streptomycin is introduced is given by the function A(t) = 1,000,000(2)-t/10. Rounding to the nearest thousand, determine how many bacteria are present after 1 week.arrow_forwardIn Section 1.4 we modeled the world population from 1900 to 2010 with the exponential function P(t) = (1436.53) · (1.01395)t where t = 0 corresponds to the year 1900 and P(t) is measured in millions. According to this model, what was the rate of increase of world population in 1920? In 1950? In2000?arrow_forward9. Solve. log,(x– 3)+ log,(x+ 4) = 3arrow_forward
- 5. Place the following logarithmic expressions in order from least to greatest. a. log, 65 b. In10 c. log, 100 d. log10+ log100 е. 2 log „10 – log, 4arrow_forward2. log (3) + log (9)arrow_forward3. Calculate: 14.83 – 6.32 (a) 288 (13 + 5)? (b) 45 -4.62) – 1065e-15 9.3 4. Calculate: 24.5 + 64/3.52 + 8.3 - 12.53 76.4 – 28/15 log 1012890, 2 (b) (5.92 – 2.42)/3 +(05 1o2890 e03 5. Calculate: +tan sin(15°) (b) sin?80°- (cos 14° sin80°)2 V0.18 (a) cos 6. Define the variable x as x= 6.7, then evaluate: (a) 0.01x– 1.4x3 + 80x + 16.7 (b) 3 + e – 51/x 7. Define the variable t as t= 3.2, then evaluate: (a) 561-9.81 (b) 14e0.1'sin(2rt) 8. Define the variables x and y as x= 5.1 and y= 4.2, then evaluate: (a) -- (b) (xy)2 -*+y (x-y)|2 x+y 2x-y 9. Define the variables a, b, c, and d as: (a-b) За a = 12, b = 5.6, c - 62 and then evaluate: d-e (a) +-(d-b)2 d+e (b) ed-2b + In 10. A sphere has a radius of 24 cm. A rectangular prism has sides of a, a/2, and a/4. (a) Determine a of a prism that has the same volume as the sphere. (b) Determine a of a prism that has the same surface area as the sphere. a/4 a/2 aarrow_forward
- 6. Determine the equation for the following exponential function in the form of f(x)=ab*+ c. Show all your steps. (0, 3) -2 1- (2,0) -3 -2 -1 3 -1- -3- 2.arrow_forward. A contagious disease is spreading in a town of 10,000 people. There were 200 infectedpeople when the outbreak was discovered, and the number grew up to 1,000 after one month.Assuming the logistic model for the spread of the disease, find the number of infected peoplethree months after the outbreak.arrow_forward9. The population of Center City is modeled by exponential function f, where xis the number of years after the year 2015. The graph of f is shown on the grid. Center City 250,000 0 400,000 300,000 200,000 0arrow_forwardarrow_back_iosSEE MORE QUESTIONSarrow_forward_ios
- Algebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:Cengage