Questions
1. Determine whether Rolle's Theorem can be applied to f on the closed interval [a, b]....

1. Determine whether Rolle's Theorem can be applied to f on the closed interval

[a, b].

(Select all that apply.)

f(x) =
x2 4x 5
x + 5
,    [1, 5]
Yes, Rolle's Theorem can be applied.No, because f is not continuous on the closed interval [a, b].No, because f is not differentiable in the open interval (a, b).No, because f(a) f(b).


If Rolle's Theorem can be applied, find all values of c in the open interval

(a, b)

such that

f'(c) = 0.

(Enter your answers as a comma-separated list. If Rolle's Theorem cannot be applied, enter NA.)

c =

2. The height of an object t seconds after it is dropped from a height of 230 meters is

s(t) = 4.9t2 + 230.
(a) Find the average velocity of the object during the first 6 seconds.
m/s

(b) Use the Mean Value Theorem to verify that at some time during the first 6 seconds of fall, the instantaneous velocity equals the average velocity. Find that time.
s

In: Math

After the acknowledgement of the Coronavirus pandemic and the stay-at-home orders, people began to buy food...

  1. After the acknowledgement of the Coronavirus pandemic and the stay-at-home orders, people began to buy food and other supplies in large amounts, and hoarded them. To this day paper products and hand sanitizers are still not easily available. However, the initial hoarding seems to have stopped for most products. Another even of interest is that in recent weeks due to high infection rates among the workers of meat packing companies, some have closed their doors temporarily, and pig farmers cannot get their products to the markets. Also, most restaurants have closed or are only operating at a fraction of their capacity, reducing their demand for food products. In the last few weeks, prices of groceries have risen sharply. Explain why the price of groceries have risen, given the circumstances listed above. Use a demand and supply model to explain your answer. Clearly describe how demand or supply curves would shift to the left or right with your reasoning for the shifts, and what would be the effect on price and quantity of groceries being produced with each shift.

In: Economics

Cynthia takes a prescription sleeping pill, NapALot, on Friday night. She wakes Saturday afternoon to find...

Cynthia takes a prescription sleeping pill, NapALot, on Friday night. She wakes Saturday afternoon to find a new Mercedes in her driveway. According to the paperwork on her kitchen counter, earlier that morning, Cynthia emptied her savings account to buy the Mercedes. Cynthia, however, has no memory of doing any of that. She experienced a rare side effect of NapALot. Some users experience sleepwalking spells in which they appear wide awake, and do all manner of complex tasks without remembering. \

Cynthia promptly takes the paperwork and drives the Mercedes to the dealership to return the car. The dealership is closed by the time she arrives. The dealership also is closed on Sunday. her job is a few blocks from the dealership. Cynthia will have time on monday to return the car when the dealership is open.

However, Cynthia does not take the time to get to the dealership until the Firday after the purchase. the dealership refuses to accept the car and return her money. Cynthias sues for rescission. Who do you think will prevail? Why?

In: Operations Management

An open empty tank (filled with atmospheric air at 27oC and 100 kPa) is filled with...

An open empty tank (filled with atmospheric air at 27oC and 100 kPa) is filled with liquid nitrogen as much as 14 kg quickly. After that, the tank is immediately closed and allowed to stand for a certain period of time. The tank is equipped with an open pipe manometer where the manometer fluid used is mercury (s.g. = 13.55). In the condition of the closed tank, the results of reading the manometer when it is constant shows that the difference in mercury surface height is 38 cm.

If it is assumed:
1. This system runs isothermal.
2. Nitrogen gas and air follow the ideal gas principle.
3. During the tank closing process, no nitrogen gas is lost.
4. Because liquid nitrogen intake and tank closure are fast, the volume of liquid nitrogen can be neglected meaning that at t = 0, the tank is considered to only contain air.
Therefore,
a. Determine the tank volume used!
b. Determine the number of moles of air in the tank!
c. Determine the specific gravity value of the gas mixture!

In: Other

Please review carefully the data in “Data Table 1” below. These data are for actual mortgage...

Please review carefully the data in “Data Table 1” below. These data are for actual mortgage products and rates offered by one of the largest banks in Canada on two different dates and were recorded in the morning of January 17, 2018 and February 11, 2018. Many questions in this assignment relate to the data in this table and also to the article “Everyone’s Mortgage is About to Get More Expensive,” published on Jan 17, 2018 in MacLean’s and appeared on the Internet. The announcement of the rate increase by the Bank of Canada occurred in the afternoon of the same day

Mortgage Product Date 1 Bank 1 Date 2 Bank 1
Prime Rate 17-Jan-18 3.20% 11-Feb-18 3.45%
Mortgage Prime Rat 17-Jan-18 3.35% 11-Feb-18 3.60%
1-year fixed closed 17-Jan-18 3.04% 11-Feb-18 3.04%
2-year fixed closed 17-Jan-18 3.24% 11-Feb-18 3.24%
3-year fixed closed 17-Jan-18 3.34% 11-Feb-18 3.34%
4-year fixed closed 17-Jan-18 3.89% 11-Feb-18 3.89%
5-year fixed closed 17-Jan-18 5.14% 11-Feb-18 5.14%
6-year fixed closed 17-Jan-18 5.14% 11-Feb-18 5.14%
7-year fixed closed 17-Jan-18 5.30% 11-Feb-18 5.30%
10-year fixed closed 17-Jan-18 6.10% 11-Feb-18 6.10%
Convertible 6 months 17-Jan-18 3.14% 11-Feb-18 3.14%
1-year fixed open 17-Jan-18 4.50% 11-Feb-18 4.50%
5-year variable closed 17-Jan-18 2.75% 11-Feb-18 2.95%
5-year variable open 17-Jan-18 4.35% 11-Feb-18 4.60%

2. What is the monthly mortgage payment for the 1-year fixed rate closed mortgage on January 17, 2018? The amortization period is 25 years and the mortgage amount to be loaned out is $750,000.

3. What is the monthly mortgage payment for the 1-year fixed rate closed mortgage on January 17, 2018? The amortization period is 20 years and the mortgage amount to be loaned out is $750,000.

4. What is the semi-annual mortgage payment for the 1-year fixed rate closed mortgage on January 17, 2018? The amortization period is 25 years and the mortgage amount to be loaned out is $750,000

5. Provide the amortization schedule in an Excel sheet format for the 1-year fixed rate closed mortgage for the first years, based on 25 years of amortization periodand $750,000 mortgage loan.
You MUST show or describe sufficiently every detail of your computational work on each column of the amortization schedule.

6. Reconsider Question 2 and suppose that the interest rate for the 1-year fixed rate closed mortgage goes up to 4% at the end of the year (or the beginning of the second year). What is the monthly mortgage payment for the same 1-year fixed rate closed mortgage in the second year of the mortgage?

7. Provide the amortization schedule in an Excel sheet format for the same 1-year fixed rate closed mortgage above for the second year. You MUST show or describe sufficiently every detail of your computational work on each column of the amortization schedule

8. Consider a borrower who is contemplating either the 5-year variable open mortgage or the 5-year variable closed mortgage in the amount of $750,000 over the 25-year amortization periodon January 17, 2018. Compute the prepayment penalties as a percent of the mortgage amount.

9. On January 17, 2018, the interest rate difference is (i) 1.60% between the 5-year variable open and the 5-year variable closed contracts and (ii) 1.46% between the 1-year fixed closed and 1-year fixed open contracts. Both differences are supposed to capture the effect of the pre-payment penalties on the interest rates. One would expect a relatively constant premium for the prepayment penalties on the same day. Explain why the pre-payment premium is not constant on January 17, 2018.

In: Finance

Discuss the difference in their structures that explain these differences between a closed-end fund and an...

Discuss the difference in their structures that explain these differences between a closed-end fund and an open-ended mutual fund:

a) When investors buy shares of the open-end mutual fund (in the aggregate), the number of fund shares increase. But, this is not the case with a closed-end fund. Why?

b) An open-end mutual fund keeps a larger % cash (or cash-equivalent) allocation in the portfolio than the closed-end fund does. Why?

In: Finance

write an essay on health people 2010

write an essay on health people 2010

In: Nursing

After the end of the Cold War there has been a rising belief that Socialism is...

After the end of the Cold War there has been a rising belief that Socialism is a dead ideology. Explain why (2 p) and argue either for or against this claim. Is socialism a dead or a dying ideology in 2020? Support your argument with at least two examples

In: Economics

Moldova has a negative population growth. Its population decreased by an annual rate of 1.06% from...

Moldova has a negative population growth. Its population decreased by an annual rate of 1.06% from 2005 to 2010. Assuming that the 2013 population was 3.6 million and thst the population will decline at the 2005-2010 rate in the foreseebale future, set up a difference equatiom that models the population of Moldova beginning in 2013.

In: Finance

Country Financial, a financial services company, uses surveys of adults age 18 and older to determine...

Country Financial, a financial services company, uses surveys of adults age 18 and older to determine if personal financial fitness is changing over time (USA Today, April 4, 2012). In February of 2012, a sample of 1000 adults showed 410 indicating that their financial security was more than fair. In February of 2010, a sample of  900 adults showed 315 indicating that their financial security was more than fair.

What is the point estimate of the difference between the proportions at the two years, 2012 and 2010 ? Round to 2 decimal places.

At 99% confidence, what is the margin of error? Round to 2 decimal places.

What is a 99% confidence interval estimate of the difference between the proportions at the two years, 2012 and 2010?

At 95% confidence, what is the margin of error? Round to 2 decimal places.

What is a 95% confidence interval estimate of the difference between the proportions at the two years, 2012 and 2010?

In: Statistics and Probability