Advanced Placement Calculus 2016 Graphical Numerical Algebraic Fifth Edition Test Prep Workbook Update
5th Edition
ISBN: 9780328909148
Author: Prentice Hall
Publisher: Prentice Hall
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Let f(x) be the height of a maple tree in inches and the number of years since 2000. A linear model
for the data is f(x) = 9.44x+84.182.
220
210
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190
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170
160
150
140
130
120
110
100
-90
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-50+
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Submit Question
8
9
A) To the nearest inch, estimate the height of the maple tree in 2011.
inches
12
B) Use the equation to find the year in which the tree will be 245 inches tall.
Question Help: Message instructor
MAY 13
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0.
Let f(x) be the height of a maple tree in inches and the number of years since 2000. A linear model
for the data is f(x) = 9.44x + 84.182.
220
210-
200
190
180
170
160
150-
140-
130-
120
110
100
-90-
ge
70-
-60
-50+
3
Ő
9
12
A) To the nearest inch, estimate the height of the maple tree in 2013.
inches
B) Use the equation to find the year in which the tree will be 250 inches tall.
A company that sells woollen hats has seen a generally linear growth in their profits over 2019,
though there is also a seasonal impact. The data from 2019 was used to create a model for the
profit per month P as a function of the number of months since the beginning of 2019,
12, 000
P = f(m)
1,000 m +
%3D
CoS
6.
Use the equation above to find the following, explaining your approach, and showing and explaining
your computations.
(a) The minimum profit in 2019.
(b) A prediction for the maximum profit in 2020.
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- The population Pinmillions of Texas from 2001 through 2014 can be approximated by the model P=20.913e0.0184t, where t represents the year, with t=1 corresponding to 2001. According to this model, when will the population reach 32 million?arrow_forwardDoes a Limiting Value Occur? A rocket ship is flying away from Earth at a constant velocity, and it continues on its course indefinitely. Let D(t) denote its distance from Earth after t years of travel. Do you expect that D has a limiting value?arrow_forwardUse the table of values you made in part 4 of the example to find the limiting value of the average rate of change in velocity.arrow_forward
- 3. Consider a function involving the height over time of a ball thrown into the air. Which would be the independent variable? Which would be the dependent variable? How do you know this? Explanation:arrow_forwardFind the derivative of each function.arrow_forwardIn cold weather, we feel colder when the wind blows. This is quantified by the wind chill index W, which is supposed to predict how cold we will feel for a given air temperature T, in degrees Fahrenheit, and wind speed V, in miles/hour. The National Weather Service uses the following formula: W=35.74+0.6215T−35.75V^0.16+0.4275TV^0.16, for T≤50 and V≥3. What is the wind chill index when the air temperature is 25 degrees and the wind speed is 18 miles/hour?Answer: Calculate the partial derivatives WT and WV when T=25 and V=18.WT= WV= Use your answer above to do the following question: When the air temperature is 25 degrees, estimate the change in the wind chill index if the wind speed increases by 2 miles/hour from 18 miles/hour.Answer:arrow_forward
- I need help with this question.arrow_forwardLet f(x) be the height of a maple tree in inches and x the number of years since 2000. A linear model for the data is f(x) = 9.44x + 84.182. 220 210 200 190 180 170 160 150 140 130 120 110 100 -90 80 70 -60 50+ 12 A) To the nearest inch, estimate the height of the maple tree in 2011. inches B) Use the equation to find the year in which the tree will be 246 inches tall.arrow_forward6arrow_forward
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