A scuba tank started with 80 cubic feet of air and was empty after a 10-minute dive. ..... Assume the rate of change is linear and complete the table. Time elapsed (in min) Amount of air in scuba tank |(in cubic feet) 1 ft 13 14 18 10

Q: A balloon is inflating at a constant rate of 9 cubic centimeters per second. When the volume of the…

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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: approximate using linearization and use a calculator to compute the percentage error. e^−0.012

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Q: When a guitar string is plucked, it vibrates with a frequency of F = 200√T, where F is measured in…

A: Rate of change is the derivative of the given function at the given point. So differentiating given…

Q: find the average rate of change of ∫: From 1 to 2

A: The average rate of change between two input values is the total change of the function values…

Q: Find the average rate of change of the function ?(?) = 4?^3 on [1,6]

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Q: product determines that P percent of the potential market is aware of the product t weeks after the…

A: Given query is to read the graph and solve the questions based on it.

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: The brain mass of a fetus can be estimated using the total mass of the fetus by the function…

A: Use chain rule to find dm/dt.

Q: The function f(t) = 4200(0.95) t/60 represents the change in a quantity over t seconds. What does…

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Q: Find the average rate of change of the function on the interval specified.  ℎ(?)=5−2?2 on [−2,4]

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Q: What is the rate of change of the balance with respect to the number of deposits? A. $100 per…

A: Here we have, The graph of the linear function shown on the grid.

Q: A function is graphed below. On which interval of z is the average rate of change of the function…

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Q: Which function has the greater rate of change? (b) How much greater is it?

A: The slope of function gives the rate of change function. The slope of equation passing through two…

Q: The radius r of a right circular cylinder with a fixed height of 48 inches is increasing. Find the…

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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: The water level of a lake is increasing by h cm every week. Time (week) 1 3 water level (h cm) 10.5…

A: Richardson extrapolation formula for derivative  f'(x) =f(x+h) -f(x-h)2h

Q: A scuba tank started with 70 cubic feet of air and was empty after a 10-minute dive. ..... Assume…

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Q: 'ind the average rate of change of h(t) = 3 c on t-3 [1,1+ h]

A: Topic:- calculus

Q: Q.5 In the month of June 4500 inpatients days were served in a hospital with 150 beds. Calculate the…

A: Hospital statistics is a branch of statistics, which deals with the service, quality, quantity, etc…

Q: c) What happens to the pH level of a mouth as the time since eating the sugary food increases?

A: answer is in step 2

Q: Enter the answer in the space provided. As a car comes to a stop, its speed gradually decreases. For…

A: The average rate of change is calculated by ax=fb-fab-a. From the given table, it is observed that…

Q: Bicycle Z O Bicycle Y 30 Bicycle Y 20 Bicycle X O Bicycle X 10 O Bicycle Z 1 3. 4 Time (seconds)…

A: Here we want to know faster rate of change

Q: What is the constant rate of change between the quantities in the table? Number of T-Shirts Total…

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Q: The population of a country doubles in 50 years. How many years will it be five times as much?…

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Q: Find the average rate of change of g(z) = 4x + on the interval [-2, 1]. Question Help: O Video…

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Q: The population of country doubles in 100 years. How many years will it be five times as much? Assume…

A: Denote T as the total population of the country, denote S as the initial population in the country…

Q: a. What is the slope of the constant function y = k?b. What is the rate of change of a constant…

A: If function is given as y=fx Then the slope of the function is given as the first derivative of the…

Q: hamster wheel has a point on the wheel with height modelled by the equation, where h is in cm and t…

A: In this question, the concept of the average rate of change is applied. The average rate of change…

Q: Find the average rate of change of g(x) = læ° – 5 from x = - 1 to x = 3 Check Answer

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Q: regardless of which two points on a line you find the average rate of change of, the slope is always…

A: Average rate of change of slope of a line is always 0.

Q: The median home price in a country over the period January 2010-January 2015 can be approximated by…

A: Given: Median home price can be approximated by the function Pt=4.5t2−12t+160  thousand dollars;…

Q: What is the instantaneous rate of change of the secant function at ? O 2√3 02 0²/0 113 O 03/13 28

A: Solution

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: Find a graphical interpretation of the following statement: The average rate of change approaches…

A: We know that average rate of change of f (x) over the interval [x0,x1] is Let point P and Q has…

Q: A typical male's body surface area S in square meters is often modeled by the formula S = 0 Vwh ,…

A: S=160wh Here, height of a person is  'h' cm and weight of a person is  'w' cm.

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 deep sea diving bell is being lowered at a constant rate. After 10 minutes, the bell is at a depth…

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Q: In the theory of learning, the rate at which a subject is memorised is assumed to be proportional to…

A: The subject to be memorized is given by At at time t. The total amount of subject to be memorized is…

Q: The area of a square with side ss is A(s)=s2A(s)=s2. What is the rate of change of the area of a…

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Q: See picture attached, thank you!

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Q: Find the average rate of change of the function ?(?) = 2?^2 + 1 on [?, ? + ℎ]

A: Given query is to find the average rate of change over the given interval.

Q: The median weight, ?, of a girl between ages 0 and 36 months can be approximated by the function ?…

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

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Q: , s) be the number of skiers on a Saturday at a ski resort in Utah when p dollars is the price of an…

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Q: Given the function defined in the table below, find the average rate of change, in the simplest…

A: Consider the equation

Q: The table below gives the population of the small (imaginary) town of Wisteria. What is the average…

A: Given information: A table describing the population of the small (imaginary) town of Wisteria from…

Q: What is the average rate of change over 2 <I< 4? t 4 f(t) 1.8 3.4 4.6 6.4 8.4

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Q: Find the Rate of Change of the gasoline usage. Gasoline Usage 15 14 13 12 11 10 25 50 75 100 125 150…

A: The given graph between Miles driven and Gasoline tanks usages. We have to find the rate of change…