Two functions are shown below. Ella thinks that Function 2 has a greater initial value because 3›1

Q: The surface area of a balloon can be represented by the function S(r) = 4xr², where r is the radius…

A: The surface area of the balloon can be represented by S(r) = 4πr2 Radius of the balloon increases…

Q: The rate at which a company produces waste, W, in tons per month, is approximated by W = 3.75e¬0.17,…

A: Given: The rate at which a company produces waste W in tons per month is approximated by…

Q: A free-falling object has position function s(t) = - 16t2 + 25 where s is in feet and t is measured…

A: Acceleration is the second derivative of the position function.

Q: The growth of Mycobacterium tuberculosis bacteria can be modeled by the function N (t) = aeº.166t…

A:

Q: The table gives the profit, P of a fast food chain, where P is in millions of dollars and t is in…

A: The given table is The average rate of change is obtained by the formula A=fb-fab-a.

Q: 12. Brent is driving west at 60 km/h and Aaron is driving south at 70 km/h. Both cars are…

A: Since the cars are moving towards a point, all the distance are decreasing. So here we don't have to…

Q: A climber is on hike . After 2 hours he's ar am altitude of 400 feet. After 6 hours , he is at an…

A: Given: A climber is on hike . After 2 hours he is an altitude of 400 feet. After 6 hours,  he is at…

Q: The function f(t)=4200(0.95)^{\frac{t}{60}}f(t)=4200(0.95)60t​ represents the change in a quantity…

A: f(t)=4200(0.95)t60

Q: Between 2006 and​ 2016, the number of applications for​ patents, N, grew by about 4.8​% per year.…

A: Please see the below picture for detailed solution.

Q: The function I (t) = - 0.2t3 + 3t2 +100  for 0 ≤ t ≤ 9 gives the CPI of an economy, where t = 0…

A:

Q: House price y is estimated as a function of the square footage of a house x and a dummy variable d…

A: The given regression equation is given by, ŷ  =118.9+0.12(x)+52.6(d).

Q: The rate of increase of the number of working married couples M (in millions) in the United States…

A: Given: The rate of increase of the number of working married couples M in the US from 2008 through…

Q: Find the average rate of change of the function r (z) = z - 2r - 15z + 3 from r1 = -1 to r2 = 3.…

A:

Q: the function f(t)=420(1.07)t/24 represents the change in a quantity over t hours. What does the…

A: Given function is  f(t)=420(1.07)t24 where t is in hours.

Q: The monthly sales of Sunny Electronics’ new iSun media player is given by q(t)=1,077t−64t^2 units…

A: The monthly sales of Sunny Electronics’ new iSun media player is given by, qt=1077t-64t2 The price…

Q: The function I (t) = - 0.2t3 + 3t2 +100  for 0 ≤ t ≤ 9 gives the CPI of an economy, where t = 0…

A: Given The function I (t) = - 0.2t3 + 3t2 +100  for 0 ≤ t ≤ 9 We have to Calculate the inflation rate…

Q: The number of books in a small library increases according to the function B=5600e0.03t  where t is…

A: In the library, the number of books increases according to the function:

Q: Find the rate of change between O and 1 y Save 20 16 12 8- f 4- ++X -4 -3 -2 -1 1 2 3 4 -4 -8+ -12…

A: Consider the given figure. We have to find the rate of change between 0 to 1. Let us take two point…

Q: The function f(t)=2600(1.002)^{t}f(t)=2600(1.002)t represents the change in a quantity over t…

A: Given an exponential function     ft=26001.002t

Q: Šuppose that the price p, in dollars, and the number of sales, x, of a certain item are related by…

A: Differentiate the given relation with respect to time 't'.

Q: During the coronavirus pandemic, the number of people that are infected at any time increase at a…

A:

Q: The number of times a new pop song has been downloaded t weeks after its initial release is given by…

A:

Q: In 2003 the number of online viewers was projected to grow according to the function. N(t)= 52t0.531…

A: As t=1 corresponds to 2003 then the value of t corresponds to 2010 is 2010-2003+1=8 Put this t=8…

Q: The marketing division of a large firm has found that it can model the sales generated by an…

A: We have to find rate of change of sales w.r.t. x, that is ds/dx

Q: projectile is shot upward from the surface of Earth with an initial velocity of 87 meters per…

A:

Q: The number of times a new pop song has been downloaded t weeks after its initial release is given by…

A: The given function is: ft=31000001+200e-0.55t                                  …(1) Differentiate…

Q: The cost c per person to participate in a guided camping tour depends on the number of n…

A: For any function given with some variable function, we can find the rate of change by finding teh…

Q: The function f(t) = t2 + 5t – 4 shows the no. of pieces produced by a manufacturing company per…

A: given: the function f(t)=t2+5t-4 shows the number of pieces produced by a manufacturing company per…

Q: function I (t) = - 0.2t3 + 3t2 +100  for 0 ≤ t ≤ 9 gives the CPI of an economy, where t = 0…

A: Given query is to find the inflation rate.

Q: Home price y is estimated as a function of the square footage of a house x and a dummy variable d…

A:

Q: The marketing division of a large firm has found that it can model the sales generated by an…

A: From the given information, it is observed that the aim is to find the ds/dx at the point x = 12.

Q: Which function shows a positive rate of change? x -2 -1| 0| 1 y 13 9 51 1 2 3 y -4 -6 -8 - 10 O f(x)…

A:

Q: The function f (t) = 310(1.025)" represents the change in a quantity over t weeks. What does the…

A: Given that the function f(t) = 310(1.025)7t represents the change in a quantity over t weeks .

Q: The function I (t) = - 0.2t3 + 3t2 +100  for 0 ≤ t ≤ 9 gives the CPI of an economy, where t = 0…

A: Given The function I (t) = - 0.2t3 + 3t2 +100  for 0 ≤ t ≤ 9 We have to calculate the inflation…

Q: b. Write an expression for the distance of the person from the light pole, measured in meters, in…

A: From the diagram l=2.26m and h=1.37m and speed=0.88m/swe need to find a)Expression for the distance…

Q: The cost c per person to participate in a guided camping tour depends on the number of n…

A: given that c=-4n+60 where c is the cost of participation and n is the number of persons  find the…

Q: The number of times a new pop song has been downloaded t weeks after its initial release is given by…

A: a) Given that, the function is ft=3,700,0001+300e-0.75t. Find the first derivative of…

Q: A bacteria colony grow at a rate of 11% per year. If the initial sample has a mass of 500 grams,…

A: Solution:- function is missing in the question , but according to formula i have solved the…

Q: A startup business projects its instantaneous rate of revenue flow to be given by R(x)=120,000e^.03t…

A:

Q: The function f(t)=310(1.025)^{7t}f(t)=310(1.025)^7t represents the change in a quantity over t…

A: Givenf(t)=310(1.025)7twhere f(t) represents the change in a quantity over t weeks.

Q: The monthly profit, P(x), of a company is expected to change at the rate of 6,498 P'(x) = 3 – (2а —…

A:

Q: Until women reach their mid-60s, they tend to get less sleep per night as they age. The average…

A: Calculation:(a)Consider the given model, s(w) = 2.697(0.957W) hours.The given model is observed to…

Q: The function f(x) = 250(0.65)" represents the amount of kryptonite left after n hours. At what rate…

A:

Q: An electronics company's research budget is projected to be R(t) = 3(55+4t)0.25, where t is the…

A:

Q: Between 2006 and 2016, the number of applications for patents, N, grew by about 4.9% per year. That…

A:

Q: A population of bacteria can be modeled by the function () = 1000(0.98)', where t represents the…

A:

Q: A sample of 800 grams of radioactive substance decays according to the function 25) A(t) =…

A: Note: It is assumed that the function is A(t)=800e-0.028t .   For a function, y=f(x), the…

Q: the function f(t)=4100(0.965)30t represents the change in a quantity over t months. What does the…

A: Given the function, ft=41000.96530t represents the change in a quantity over t months.

Q: A drug is injected into the body in such a way that the concentration, C, in the blood at time t…

A: