7:49 PM Sat Mar 21 * 97% 2.6 Exercise Set In Exercises 10–12º, find an exponential function of the form P(t) t/T Po nT that models the situation, and then find the equivalent exponential model of the form P(t) = Po e" . 1. Doubling time of 5 yr, initial population of 450 2. Doubling time of 25 weeks, initial population of 1300 3. Tripling time of 8 months, initial population of 5000 4. Tripling time of 9 hr, initial population of 6 5. Grows 7-fold in 12 yr, initial population of 100 6. Grows 5-fold in 20 months, initial population of 35,000 7. Decreases by 10% every 2 months, initial population of 1200 8. Decreases by 25% every 36 hr, initial population of 100,000 9. Decreases by 40% every 8 weeks, initial population of 60,000 10. Decreases by 7.5% every 9 yr, initial population of 25,000 11. Increases by 50% every 6 months, initial population of 6500 12. Increases by 125% every 2 yr, initial population of 75 Differentiate. 13. y = 6* 14. y= 7* 15. g(t) = 15' 16. g(t) = 20' 17. y = 12.5* х 18. y= 19. Ax) = 3 · 5* 20. fAx) = 24 · 9* 21. v = 7** + 2 249
Unitary Method
The word “unitary” comes from the word “unit”, which means a single and complete entity. In this method, we find the value of a unit product from the given number of products, and then we solve for the other number of products.
Speed, Time, and Distance
Imagine you and 3 of your friends are planning to go to the playground at 6 in the evening. Your house is one mile away from the playground and one of your friends named Jim must start at 5 pm to reach the playground by walk. The other two friends are 3 miles away.
Profit and Loss
The amount earned or lost on the sale of one or more items is referred to as the profit or loss on that item.
Units and Measurements
Measurements and comparisons are the foundation of science and engineering. We, therefore, need rules that tell us how things are measured and compared. For these measurements and comparisons, we perform certain experiments, and we will need the experiments to set up the devices.
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