Question

Two years ago, doctors found that a benign tumor is growing in a patient’s brain. Though it is benign, they have been monitoring its’ growth each year. The width of the tumor is given by the function P(t) where P is measured in mm, and t is measured in years since the tumor first formed. We know that P(2) = 2 and P' (2) = 1.5

1. What are the units of P' (t)?

2. Give a physical interpretation of the fact that P' (2) = 1.5 by writing out a sentence describing it.

3. Using P' (2), estimate how large the tumor will be in the middle of the third year P(3.5), and explain how you used Calculus to arrive at this answer.

4. Using P' (2), estimate the size of the tumor during the previous year P(1.2), and explain how you used Calculus to arrive at this answer.

5. Using P' (2), estimate P(0), and discuss whether or not your estimate is reasonable. (Think about what this should be based on the context of the problem, then compare that with the approximation you get using calculus)

Answer #1

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Two computer users were discussing tablet computers. A higher
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significance. (For subscripts let 1 = 16-29 year old users, and 2 =
30 years old and older users.)
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30 years old and
older
Own a
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69
231
Sample
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ALL questions below regarding SENDING A PACKAGE and PAINTING A
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Year-Year Percent Change in Commodities CPI
Year-Year Percent Change in Services CPI
Year
Commodities%
Services%
1960
0.9
3.4
1961
0.6
1.7
1962
0.9
2.0
1963
0.9
2.0
1964
1.2
2.0
1965
1.1
2.3
1966
2.6
3.8
1967
1.9
4.3
1968
3.5
5.2
1969
4.7
6.9
1970
4.5
8.0
1971
3.6
5.7
1972
3.0
3.8
1973
7.4
4.4
1974
11.9
9.2
1975
8.8
9.6
1976
4.3
8.3
1977
5.8
7.7
1978
7.2
8.6
1979
11.3
11.0
1980
12.3
15.4
1981
8.4...

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(07.04 MC)
Students at a local elementary school were randomly selected to
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1.The sample mean is an unbiased estimator for
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The average sample mean, over all possible samples, equals the
population mean.
The sample mean will only vary a little from the population
mean.
The sample mean has a normal distribution.
2.Which of the following statements is
CORRECTabout the sampling distribution of the
sample mean:
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1) What would you prefer, an annual cash flow of $600 for 4
years, or a lump sum payment of $2,500 in year 4? Your discount
rate is 4.25%. Please discuss.
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MINICASE: HOW MUCH IS MANCHESTER UNITED’S BRAND
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In recent years, the valuation of sports teams has become an
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astronomical salaries that sports stars command. Additionally, some
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1. For a pair of sample x- and y-values, what is the difference
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Financial Reporting and Analysis
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1. In a multiple
regression model, the following coefficients were obtained:
b0 = -10 b1
= 4.5 b2 = -6.0
a. Write the
equation of the estimated multiple regression model. (3 pts)
b Suppose a
sample of 25 observations produces this result, SSE = 480. What is
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Determine which of the following
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