Homework 2 Score: 16.27125 19125 answered 0 Question 23 v Next question You can retry this question below Progi Water in a Play Pool The graph of V(t) below shows the amount of water in a play pool as time elapses. each of the following time intervals. 0 minutes to 4 minutes: 4 minutes to 20 minutes: 0 minutes to 22 minutes: Determine the average rates of change over gallons per minute v '/ gallons per minute v '/ gallons per minute v '/ Amount of Water (gailons) 2 4 6 8 10121416182022 Time (minutes) | | II.. . _ I Complete the statement to explain the meaning of the rate of change in this situation. The amount of water remaining in the pool is decreasing v '/ at a rate of Homework 2 Score: 16.27/25 0 Question 18 v Next question You can retry this question below ) Progress save 80.5/1 Finding an Appropriate Equation Given Data determine the actual function. For each table below, determine if it represents a function that is linear or exponential. Then f(x) is Exponential V V X 1 2 3 4 f _ f(X} 35 24.5 17.15 12.005 (X) _ ' x 15 Linear v V X 1 2 3 4 g( ) g(x) -224 -304 -384 -464 90') ' ' h(x) is Exponential v \\' X 1 2 3 4 h _ h(X) 110 121 133.1 146.41 (X) _' Homework 2 Progress sa\\ Score: 16.27125 19/25 answered 0 Question 12 v E The half-life of caffeine in the human body is about A = 5.9 hours. A cup of coffee has about 100 mg of caffeine. Round to 2 decimal places. a. Write an equation for the amount of caffeine in a person's body after drinking a cup of coffee? Let C be the milligrams of caffeine in the body after t hours. Write the equation in the form: t C=a(i)* b. How much caffeine will remain after 10 hours? i l mg c. How long until there are only 20 mg remaining? ' ' hours Question Help: D Post to forum Homework 2 pm Score: 16.27125 19/25 answered .Question 10 v The half-life of Palladium-100 is 4 days. After 16 days a sample of Palladium-100 has been reduced to a mass of 5 mg. What was the initial mass (in mg) of the sample? What is the mass 5 weeks after the start? Round your answer to 3 decimal places. Question Help: D Post to forum Homework 7 Score: 91'20 10;\"20 answered 0 Question 13 v 10332 if m4 Let f(:1:) : { 2:1: 1 if :1: > 4 Calculate the following limits. Enter \"DNE" if the limit does not exist. lint f (m) =i i m>4 H 1. : $311+ f (m) i, i is: W) = i. i Question Help: D Post to forum Homework 7 Score: 9/20 10/20 answered . Question 14 The graph below is the function f (a) -5 -4 -3 -2 - 2 Find the following. If no value exists, enter DNE. lim f(x) = x-+3 lim f(x) = lim f(x) = f(3) =Homework 7 Pro Score: 9/20 10/20 answered Question 15 The graph below is the function f(x). Click the magnifying glass in the lower right corner of the graph if you want to see it zoomed-in. -4 -3 -2 12 3 4 urt in Ki Find lim f(x) = x-2 Find lim f(x) = 2-2 Find lim f(x) = x-2 Find f(2) Question Help: Video D Post to forumHomework 8 Score: 6f10 6/10 answered 0 Question 2 v If 2000 dollars is invested in a bank account at an interest rate of 8 per cent per year, compounded continuously. How many years will it take for your balance to reach 40000 dollars? NOTE: Give your answer to the nearest tenth of a year. Homework 8 Score: 6/10 6/10 answered Question 3 > 2x -2 if x 4 If f () is a function which is continuous everywhere, then we must have Now for fun, try to graph f(a).Homework 8 Score: 6/10 6/10 answered 0 Question 4 v