Given the model y=3.2(2.4)^x, what is its rate of change?

Q: What is the difference between the average rate of change and instantaneous rate of change?

A: The difference between the average rate of change and instantaneous rate of change

Q: Find the rate of change. Cube root 3√x with respect to x when x = 1, 8, 27

A: Consider the given: fx=x3ddxfx=ddxx3ddxfx=ddxx13ddxfx=13x13-1ddxfx=13x23

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

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Q: Find the rate of change of supply price with respect to the number of units supplied.

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Q: Estimate the average rate of change for the graph above from x=1x=1 to x=4

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Q: How does the average rate of change differ for a linear function versus an increasing exponential…

A: Given two function a linear function and an exponential function.

Q: What is the rate of change of the area?

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Q: What is a related-rate equation?

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Q: Is the rate of change of a cube's volume linearly proportional to the rate of change of its side?

A: Rate of change of volume of cube

Q: Estimate the average rate of change for the graph above from X=2 to x=3 

A: We have to estimate the average rate of change for the graph above from x=2 to x=3 

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

A: our objective is to find the average rate of change

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: Find the average rate of change of g(x) = - 4x³5 from = - - 3 to x = 1

A:

Q: How does related rates apply in real life situations?

A: The related rate is a concept that involves how the rate of two or more than two changing quantities…

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: what is the growth rate of the cells after 6 hours has gone by

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Q: Estimate the average rate of change from x = 1 to x = 4. %3D

A: average rate of change of f(x) on a,b=f(b)-f(a)b-aHere a=1 ,  b=4From graph f(1) = 5 ,  f(4) = 4

Q: How would i calculate the instantaneous rate of change given at the given point (3,10.1)?

A: Let's find.

Q: If we know the rate of growth of a patch of moss, how can we calculate the area the moss covers?

A: The rate of growth of a patch of moss is modeled by a complex function A't, where t is measured in…

Q: Consider the constant rate of depreciation value of a certain car. You bought a car amounting to 1.5…

A: Solution

Q: The volume of a cube decreases at a rate of 0.6 ft° /min. What is the rate of change of the side…

A: Since you have not mentioned I am answering 2nd Question. Given:Volume of a cube decreases at a rate…

Q: The radius of a circle is increasing at the rate of 0.7 cm/s.whats is the rate of increase of its…

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Q: Find the average rate of increase in population which in the first decade has increased by 20%, in…

A:

Q: 1.. Suppose that the water level of a river is 34 feet and that it is receding at a rate of 0.5 foot…

A: Since you have posted multiple questions and we can answer one question. So, answered first…

Q: The area of a circle is decreasing at a constant rate of 181 square centimeters per second. At the…

A: Solution -  Here in this problem it is given that  Area of the circle decreasing at a constant rate…

Q: If I am blowing up a balloon at a rate of 3 cubic feet per minute, what is the rate of change of the…

A: Since, it is given that a person is blowing up a balloon at a rate of 3 cubic feet per minute, then…

Q: How fast is the circumference of a circle changing if the radius is changing at the rate of 3 mm/s?

A: Solution

Q: Estimate the average rate of change from x = 4 to x = 7.

A: The average rate of change from one point to another point from a graph obtains from the ratio of…

Q: In the first few weeks after birth, a baby gains weight at a rate proportional to its weight. A baby…

A: Introduction: Differential Equation packages are beneficial in each educational and realistic…

Q: What is the average rate of change of the height of the plant between Week 4 and Week 12, in inches…

A: Given:  Week Height (in inches) 4 24 6 27 8 30 12 48

Q: An art piece is predicted to increase in value by 50% in the first year and 25% each year from the…

A:

Q: Find the average rate of change of g(x) 2x° – 4 from æ = - 1 to x = 4 -

A: To find- Average rate of change.

Q: A parallelogram of rectangular surfaces has a square base and its volume is always 108 cubic…

A: Given information

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: The radius of a right circular cone is increasing at 3 cm/min whereas the height of the cone is…

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Q: The number of Americans age 65 or older can be modeled as n(x) = −0.00082x3 + 0.059x2 + 0.183x +…

A: For  rate of change of the projected number in 2045 we have to find n'(45) because at 2045 ,…

Q: If human toenail grows at an average rate of about 0.13 inch a month.   1 year has 12 months. 1…

A: Given, Growth of human to nail =0.13 inch/month 1 year has 12 months. 1 inch is equal to 2.54 cm.…

Q: How are the rate constant and the doubling time related?

A: Explanation: The exponential growth function is y(t)=y0ekt where k  is the positive constant rate…

Q: Use combining functions and rates of change to solve:

A: The function f(x) is a rule that associates or fixes a number to the particular point x. If y=f(x),…

Q: Describe the Related Rates Equations?

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

Q: A rod is sliding down the side of a wall such that the height is decreasing at a rate of 5 inches…

A:

Q: How may I get the average rate of change for this problem?

A: The average rate of change of the function fx between the two points x=a and x=b is given by the…

Q: Use a numerical example to explain the difference between the rate of change and the level of change…

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Q: A right triangle has legs of 6 inches and 8 inches whose sides are changing. The short leg is…

A: Given that:                          Sides of legs = 6 in and 8 in.Decreasing rate of shorter side,…

Q: Estimate the average rate of change from  x = 2  to  x = 5.

A: We are given a graph of a function and we are asked to find average rate of change from x=2 to x=5.…

Q: Given 100 grams of bacteria that decreases at a rate of 1/2 per year. What would be an appropriate…

A: Initial value: 100, Rate: 1/2 per year(decreases). So, the population equation is p(t)=100e-12t…

Q: The area of a square is increasing at a rate of 56 square meters per minute. At the time when the…

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Q: The radius of a right circular cylinder is increasing at the rate of 3 inches per ninute and the…

A: Given:The rate of change in radius =3 in/mThe rate of change in height =4 in/mThe radius =9 The…

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.