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To find: The model of each country of exponential growth or decay.
![Check Mark](/static/check-mark.png)
Explanation of Solution
Given: The table shows the populations (in millions) of five countries in 2013 and the projected populations (in millions ) for 2025.
Let
For Australia
As year increase population increase. So, it would be exponential growth.
For Canada
As year increase population increase. So, it would be exponential growth.
For Hungary
As year increase population decrease. So, it would be exponential decay.
For Philippines
As year increase population decrease. So, it would be exponential decay.
For Turkey
As year increase population decrease. So, it would be exponential decay.
Now find the population of each country for years 2040.
Put
To find: The model of each country of exponential growth or decay.
![Check Mark](/static/check-mark.png)
Explanation of Solution
Given: The table shows the populations (in millions) of five countries in 2013 and the projected populations (in millions ) for 2025.
Using above table to find the rate of growth.
The growth rate of Canada is 0.69%.
The growth rate of Philippines is 1.65%.
The constant for Canada is 31.62
The constant of Philippines is 85.25
To find: The model of each country of exponential growth or decay.
![Check Mark](/static/check-mark.png)
Explanation of Solution
Given: The table shows the populations (in millions) of five countries in 2013 and the projected populations (in millions ) for 2025.
The rate of Turkey increasing and Hungary is decreasing.
The constant of Turkey is 81.28
The constant of Hungary is 10.24
Chapter 3 Solutions
Precalculus with Limits: A Graphing Approach
- Let f be a function whose graph consists of 5 line segments and a semicircle as shown in the figure below. Let g(x) = √ƒƒ(t) dt . 0 3 2 -2 2 4 5 6 7 8 9 10 11 12 13 14 15 1. g(0) = 2. g(2) = 3. g(4) = 4. g(6) = 5. g'(3) = 6. g'(13)=arrow_forwardThe expression 3 | (3+1/+1) of the following integrals? A Ов E + + + + 18 3+1+1 3++1 3++1 (A) √2×14 dx x+1 (C) 1½-½√ √ ² ( 14 ) d x (B) √31dx (D) So 3+x -dx is a Riemann sum approximation of which 5 (E) 1½√√3dx 2x+1arrow_forward2. Suppose the population of Wakanda t years after 2000 is given by the equation f(t) = 45000(1.006). If this trend continues, in what year will the population reach 50,000 people? Show all your work, round your answer to two decimal places, and include units. (4 points)arrow_forward
- 3. Solve the equation, give the answer exactly (no calculator approximations), and show all your work. (4 points) log5 2x = 3arrow_forwardLet I = f(x) dx, where f is the function whose graph is shown. 4 2 y f X 1 2 3 4 (a) Use the graph to find L2, R2 and M2. R₂ M2 = = = (b) Are these underestimates or overestimates of I? O 42 is an underestimate. O 42 is an overestimate. ◇ R2 is an underestimate. OR2 is an overestimate. OM2 is an underestimate. ○ M2 is an overestimate. (c) Use the graph to find T2. T₂ =arrow_forwardVector u has a magnitude of 23 and vector v has a magnitude of 83. The angle between the two vectors is 126 degrees.a) Draw a fully-labelled vector diagram showing the two vectors and the resultant vector when they are added together.b) Find the magnitude of the resultant vector.c) Find the direction of the resultant vector relative to vector u. Solding by finding the x and y of the vectors and addingarrow_forward
- 3) If a is a positive number, what is the value of the following double integral? 2a Love Lv 2ay-y² .x2 + y2 dadyarrow_forward16. Solve each of the following equations for x. (a) 42x+1 = 64 (b) 27-3815 (c) 92. 27² = 3-1 (d) log x + log(x - 21) = 2 (e) 3 = 14 (f) 2x+1 = 51-2xarrow_forward11. Find the composition fog and gof for the following functions. 2 (a) f(x) = 2x+5, g(x) = x² 2 (b) f(x) = x²+x, g(x) = √√x 1 (c) f(x) = -1/2) 9 9(x) = х = - Xarrow_forward
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