Problems 39–66 are mixed—some may require use of the
49.
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Calculus for Business, Economics, Life Sciences, and Social Sciences (14th Edition)
- 3. Solve for x of the equation 2 In(x+1) – In(5x+1) + In(x-1) = In(2). 4. Solve for x of the equation 6= 2*.arrow_forward-3 -2 -5- 3- 2 y y-ln(x-1) -10 Xarrow_forward4. The growth rate of a colony of ants is given by the formula 10t 2 (1+t²)² where t is measured in hours. If 100 ants are initially present then how many are present after 2 hours? The number of ants present after 2 hours isarrow_forward
- Find a possible formula for the exponential function through the points (−1,10) and (2,2/25 y= f(x)=arrow_forwardStep 2 of 2 : Among the values of x for which V(x)=0V(x)=0, which are physically possible?arrow_forward4. Evaluate and leave your answer in exponential form x (2+ i)-1 + iy(2 – i)-1 = 3(1 – 2i)-1. Where x, y ERarrow_forward
- The assembly for this problem for model S is 0.4 and for model LX 0.5. Can you redo the problem with this information correct?arrow_forward+ I/ MI * 00 Energy consumption in a particular country in quadrillion BTUS can be modeled by C(x) = - 0.014x + 1.295x+ 68,958, where x is the number of years after 1970. a. One solution to the equation 89.258 = - 0.014x+ 1.295x+68.958 is x = 20. What does this mean? b. Graphically verify that x 20 is a solution to 89.258 = - 0.014x+1.295x + 68.958. c. To find when after 2020 the energy consumption in that country will be 89.258 quadrillion BTUS according to the model, is there a need to find the second solution to this equation? Why or why not? a. Choose the correct answer below. O A. In 1990, consumption was 68.958 quadrillion BTUS. O B. In 2020, consumption was 68.958 quadrillion BTUS. O C. In 1990, consumption was 89.258 quadrillion BTUS. O D. In 2020, consumption was 89.258 quadrillion BTUS. Click to select your answer and then click Check Answer. parts 2. remaining Clear All Check Answer P Pearson &17 PM ere to search 近 1202/LL/Z PrtSc F11 F12 F10 sup F7 F8 & Backspace 23 3. i 5.…arrow_forward2. Find the exponential function of the form f(x) =ab* that passes through (0,7)and (2,7)arrow_forward
- 1. Match the following lists: List I List II (which of the following functions appear in integration of function in List I) 2-x+1 2-4x +4x a. p. log x| -1 b. x(x-2) 4. log r - 2| r. (x-2) C. x(x- 2) +1 d. S. X (x-2)arrow_forwardUse the Jesaki Inc Information Below to Solve Questions 1- Below 1) Jesaki Inc estimates that it will sell N(x) units of product after spending $x thousand on advertising, as given by N(x) = -0.45 x^4 + 46 x^3 1,079 x x^2+ 161,973. What is the point of diminishing returns? Round to the nearest dollar. 2) The number x of bicycle helmets Jesaki Inc is willing to sell per week at a price of $p is given by x = a/p + b-c, where a = 80, b = 26, and c = 414. Find the instantaneous rate of change of the supply with respect to price when the price is $79. Round to the nearest hundredth (2 decimal places). 3) Jesaki Inc sponsered a blood drive following mathematical model relating systolic blood pressure and age: P(x) = a + bln(x+1), where P(x) is pressure, measured in millimeters of mercury, and x is age in years. By examining Guilford County hospital records, they estimate the values for Guilford County to be a = 43 and b = 27. Using this model, estimate the rate of change of pressure with…arrow_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
- Algebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:Cengage