For which value of x is the instantaneous rate of change in the function graphed below negative?         1   5   -1   3

Q: 6. After you eat something containing sugar, the pH or acid level in your mouth changes. This can be…

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Q: Which of these functions does not have an average or instantaneous rate of change (at some x-value)…

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A: We need to find average rate of change.

Q: The function f(t)=460(0.2)^{t} represents the change in a quantity over t months. What does the…

A: The function ft=4600.2t represents the change in a quantity over 't' months. To determine what does…

Q: 1. Suppose that the percentage of U.S households with broad-band Internet ac- cess is modeled by the…

A: (b)The above graph has a horizontal asymptote at towards the right-end.This means that the…

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: Which relationship represents a function with a lesser rate of change than the function represented…

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Q: The percent concentration y of a certain drug in the bloodstream at any time t (in hours) is given…

A: We will use the chain rule

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A: Given the concentration C(x) = 0.9x2

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Q: The radius of a sphere is increasing at a constant rate of 7 feet per second. At the instant when…

A: Hello, here I am taking the volume of the sphere 274 cubic feet. Given that the radius of a sphere…

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: 14) At what point on the graph of f(x) = instantaneous rate of change? a. x8, x = 2 b. x = 4…

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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: f (x) -3 20 3. 57 60 98 What is the average rate of change in f(x) between x=1 and x= 5?

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Q: 3. The rate of change function of the number of employees in the solid waste management industry is…

A: Consider the given function.

Q: The number N of bacteria in a culture after t days is modeled by N= 400 [1 - 3/(t2+2 }2].Find the…

A: Given: The number bacteria in a culture after t days is, N=4001-3t2+22.

Q: Consider the function f(x) = x² – 3x + 5. Provide the expression for the instantaneous rate of…

A: The instantaneous rate of change of a function at a point is the derivative of the function. It is…

Q: A ball is dropped from the top of a building. The height of the ball in metres above the ground at :…

A: The equation of the height of the ball is provided as h(t)=-4.9t2+19.6. We need to determine the…

Q: A graph of a function f is given below. y 15 10 5 X 10 Find the net change and the average rate of…

A: From graph,             x = 2 ,   f(2) = 2             x = 6 ,   f(6) = 7

Q: Let f(x) = 6x2 + 7x - 5. Then the average rate of change of f(x) from 0 to 18 is the same.as the…

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Q: Create a graph of a function given the following information: The instantaneous rate of change at x…

A: Given that the instantaneous rate of change at x=2 is zero. And the instantaneous rate of change at…

Q: The body mass index (BMI) is a number that can be calculated for any individual by using the…

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Q: Determine the value(s) of x where the function will have an instantaneous rate of change of -12.…

A: We find the instantaneous rate of change using the first derivative

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)…

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Q: i am having trouble with this one.

A: Consider the given equation.

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: For the function shown in the figure​ below, find the average rate of change from (7​,−9​) and…

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Q: 4 lan invested $2500 in an investment vehicle that is guaranteed to earn 4% interest compounded…

A: The given account equation is A(t)=2500(1.04)t. (c) Determine the nearest whole year, the value of t…

Q: 1) A company knows that the unit cost C and the unit revenue R from the production and sale of x…

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Q: Find the average rate of change of g(a) = 3x -3 from a = -4 tox = 4. %3D > Next Question

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Q: The graph of a linear function is shown. Find the rate of change of y with respect to x

A: We can find the rate of change as below.

Q: The population of a town, in thousands, is described by the function P(t) = -1.5t² + 36t+ 6, where t…

A: Average rate of change of a function f(x) from x=a to x=b  favg =fb-fab-a

Q: A graph of a function f is given below. y 15 10 10 Find the net change and the average rate of…

A: The formula for net change is f(x2)-f(x1). The formula for the average rate of change is…

Q: The function f(t) = 5300(0.35)30st represents the change in a quantity 365t years. What does the…

A: Introduction: In exponential growth, a quantity increases slowly at first and then rapidly. We use…

Q: | 10. For what value of c is the instantaneous rate of change for the function f(x) = 2\x equal to…

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Q: The weekly sales (in thousands) of a new product are predicted to be S(x) - 600 - 500e-0.3x after x…

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Q: The function v(x) = 20,000(0.87)* models the value of a car x years after its purchase. Which best…

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

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Q: Several values of a function are given in the table. -10 1 2 3 y -7 -4| -1 2 What is the average…

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Q: The function f(t)=720(1.0095)^{\frac{t}{7}}f(t)=720(1.0095)7t​ represents the change in a quantity…

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Q: If g(x) = 3x + 6x2 + 4. What is the value of the instantaneous rate of change of g(x) when x = -1?…

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Q: The projected year-end assets in the Social Security trust fund, in billions of dollars, can be…

A: NOTE: Refresh your page if you can't see any equations. . for the year 2014, take x=4

Q: E The graph is decreasing 2. Complete: For the function f(x) = x – 2, the average rate of change to…

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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 retail store estimates that weekly sales s and weekly advertising costs x (both in dollars) are…

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Q: P(x) = -400x + 6,800x – 12,000 dollars. At what rate is profit changing with respect to the level of…

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Q: Several values of a function are given in the table. -1 0 1 2 3 y -7 -4 -1 2 5 What is the average…

A: When x=1, y=-1. When x=3, y=5.

Q: Graph f(x) = x + b for b = 1 /2 , b = 1, and b = 2, all on the same set of axes. How does increasing…

A: Graph f(x) = x + b for b = 1 /2 , b = 1, and b = 2, all on the same set of axes. How does increasing…

Q: – 3x Find the relative rate of change of f(x) = 6+ 3 e -

A:

Exponential Growth Model

The relation that represents an exponential function is: