The sea level (as reported by satellite data) has been changing every year.   Find data on this and construct a formula for it. Is this variation direct or indirect? Why?   Long-term measurements of tide gauges and recent satellite data show that global sea level is rising, with the best estimate of the rate of global-average rise over the last decade being 3.6 mm per year (0.14 inches per year)

Q: The population of a certain city was 34000 in 2010, and the observed relative growth rate is 0.5%…

A: Given information : Population of city in 2010 = 34000 Relative growth rate = 0.5%

Q: (b) By what annual percentage are sales for Alpha growing? (Use the model found in part (a).) By…

A: a) The growth of alpha series is  8.80×1.02t. so the growth of the second year will be…

Q: What is the formula that represents the average rate of change in a linear function?

A: The average rate of change formula for a function f(x) between [a, b] is: f(b)-f(a)b-a

Q: Can the average rate of change of an increasing function ever be negative?

A:

Q: Question 1 Find the average rate of change of g(x) = 5x³-2 from z = -1 to z = 4.

A: Given the query is to find the the average rate of change for the function.

Q: Choose whether the following statement is true or false. The approximation of an instantaneous rate…

A: The given statement is:  The approximation of an instantaneous rate of change can be obtained by…

Q: What is a related-rate equation?

A:

Q: The following table represents Canada's population in specific years over the last century. Year…

A:

Q: Can the instantaneous rate of change be different than the average rate of change in the same…

A: We describe that the instantaneous rate of change be different than the average rate of change in…

Q: Suppose that the boy’s weight was increasing at the rate of 7 kilograms per year and his height was…

A: We know that, BMI=Bodyweight in kilogramHeight in meters2⇒B=wh2

Q: The count model is an empirically based formula that can be used to predict the height of a…

A:

Q: If a population of buffalo are becoming extinct. Assume that 150 years ago there were 100,000…

A: This question is about application of differential equation

Q: Suppose that the quantities whose values are represented s and r are related by a constant rate of…

A: Sol: Given     1) S T     2)   57.2     3) -10.7 12.9     4) 2.7 -45.7     5) 7.1…

Q: Find the expected demand for (2020) by using SMA and WMA. (picture)

A: Expected demand for 2020 by using SMA:

Q: If a new Mustang is valued at $20,000 and five years later it is valued at $8000 then what is the…

A: A new Mustang is valued at $20,000 and five years later it is valued at $8000. Let x be the year and…

Q: If q'(t) is the growth rate of a population of a fish population in fish per month, what does…

A:

Q: If ω'(t) is the rate of growth of a child in pounds per year,what does  ∫510 ω'(t)  dt   represent?

A:

Q: If a snowball melts so that its surface area decreases at a rate of 4 cm2/min, find the rate (in…

A: Let the diameter be D cm and radius be r cm  The surface area S of the the sphere in term of…

Q: A researcher tells you that there are non-linearities in the relationship between wages and years of…

A: According to the provided information, it is mentioned by the researcher that there are…

Q: The International Panel on Climate Change (IPCC) declared that if current  trends on burning fossil…

A:

Q: A group of researchers are working to determine the historic sea levels of the body of water. They…

A: Given information- Where X is the age in thousands of years.

Q: In response to rising concerns about identity​ theft, the number of models of paper shredders a…

A: It is given that, in the year of 1993 the model was 3 and in the year of 2008 the model was 38.

Q: (6) Find the direction and magnitude of the greatest rate of change of T at (3 -) 2)

A:

Q: Question 14 ▼ Submit Question Find the average rate of change of g(x) = 3x² - 4 between the points…

A:

Q: the instantaneous weight growth rate at week 16 greater or smaller or the same than the average rate…

A: Given query is to provide information regarding instantaneous rate of change and average rate of…

Q: 6. How is the instantaneous rate of change found?

A: Answer and explanation is given below..

Q: A $25,000 machine depreciates linearly to 0 over a 10 year period. What is the valye of the machine…

A:

Q: TABLE 14.32 Proportional-hazards model relating the hazard of recidivism to age, sex, number of…

A:

Q: How strong is the relationship between the average monthly temperature and the number of homicides…

A: The question is based on a correlation Given data :

Q: Consider the following estimated model, where the dependent variable is the log of the hourly wage:…

A: Given: logwage=0.417+0.17educ+0.0295tenure-0.00059tenure2

Q: (c) If rc and re is the E. coli growth rate, determine the value of rc at 20 min to the most…

A: Given- C=kmax×t25+2t2+3.5t If rC=dCdt and rC is the E. coli growth rate, to determine the value of…

Q: The sea level (as reported by satellite data) has been changing every year.  Find data on this and…

A: Satellite Data: 1993-Present Rate of Change: 3.3 mm per year

Q: he number of cases within 3 days due to coronavirus is as follows: 21 May 2020: 961 New Case 22…

A: (1a)   Let us consider the time values t as 1, 2, and so on. X: as the number of new cases.

Q: a) Determine the average rate of change in the size of the crowd for each half hour of the rally. b)…

A: Solution:

Q: What value of the smoothing constant would make an exponential smoothing forecast the most reactive…

A: We know the smoothing exponential formula Ft+1=Ft+αDt-Ft where, α=smoothing constant Ft+1=forecast…

Q: Define the term instantaneous rates of change?

A: Given: Define the term instantaneous rates of change?

Q: Describe the Related Rates Equations?

A: Related rates problems involve two (or more) variables that change at the same time, possibly at…

Q: The population of Mathlandia in 1995 was 23,473 and was projected to grow at a rate of 12% per…

A:

Q: S (number of sunspots) 160 120 80 40 1960 1970 1980 1990 2000 2010 t (year)

A: Yes, there any interval during which the average rate of change of sunspots with respect to time was…

Q: The table above gives the annual sales (in millions of dollars) of a product from 1998 to 2006. What…

A: Average rate of change = change in sales/change in time Average rate of change =(y2-y1)/(x2-x1)

Q: A network server has an original value of 10, 000 and is to be depreciated linearly over 5 years…

A:

Q: Part 1 of 4 (a) The average rate of change in the number of new flu cases between months and 2 is…

A:

Q: 3. On a displacement vs time graph, what indicates that there is no change in displacement as time…

A: The given problem is solved below in detail.

Q: Determine the rate of change of the following line.

A: In graph we have two points (-4, 0)  and (-2, -3)  Rate of change means slope

Q: A cheese manufacturer produces18,000 pounds of cheese from January 1 through March 24.Suppose that…

A:

Q: A jet is approaching a radar station with a speed of 1,256 mph and a stable altitude of 9504ft. When…

A:

Q: The surface of the sun has dark areas known as sunspots that are cooler than the rest of the sun’s…

A: As per guidelines, we are going to solve only one problem. So please repost the other problems…

Q: A scientist believes that, over the years, the number of major earthquakes has been decreasing. To…

A: The data shows the number of earthquakes above magnitude 7.0

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.