**4. The following table shows the time T, in seconds, that it takes for a rock to fall S feet on a certain planet.**| Distance s (feet) | Time t (seconds) ||-------------------|------------------|| 10 | 0.63 || 20 | 0.89 || 30 | 1.10 || 40 | 1.26 || 50 | 1.41 |**Questions:**a. Find a power model for the data.b. How long does it take for a rock to fall 70 feet?c. How far does a rock fall in 2 seconds?d. What effect does doubling the distance fallen have on the time?

Answered: Image /qna-images/answer/7daca03b-8afe-483a-8bec-a5ec116d5ad1.jpg

Answered: 4. The following table shows the time…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Garrett planted some parsley seeds in his garden and has been measuring their growth over the last four IN weeks. 12 34 Height (in em)| 2 4 5.6 11 Week Based on the information he has gathered: a. What is the average weekly increase in growth? Average weekly increase: 2 cm/week b. Write a mathematical model that estimates the approximate height, H. of the parsley at the end of week r. Model: H = c. Use your model to predict the height of the plant after 14 weeks. Prediction: cm
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as been measured at the beginning of every fourth year since the year 2000. The data through 2016 is shown below, where t is in years after the beginning of the year 2000. 0 104 с 1+ae-bx OC. Exponential (y = a.bx) Logistic 4 109 Length (mm) Use the data to construct a scatter plot, then complete the following. 1) Which of the following best describes the pattern? O A. Linear (y = mx + b) OB. 8 115. 2) Using your calculator and the best of the four methods above, find a model, L(t), that estimates the length of the stalactite t years after 2000. ROUND TO TWO DECIMAL PLACES. L(t) = 3) Use your rounded answer from part 2 to complete the following. ROUND TO TWO DECIMAL PLACES. Acording to the model, at the beginning of the year 2005, the stalactite was approximately mm long, and it was growing at a rate of approximately 12 119 mm per year. 16 124
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