What are the  Exponential Curves?

Q: Draw Graphs of exponential functions?

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Q: What is evaluating limits of exponential functions and how do we use it in our life?

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Q: How predicted values of Y is computed when Y is in logarithms?

A: Consider the case of log-linear regression model where the Y (dependent variable) is in logarithms,…

Q: What is the exponential function?

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Q: What are the Logarithmic Functions?

A: Where a,b,c,d,k are constants.  Logarithmic functions are inverse of exponential functions.

Q: What is the natural exponential function? Explain.

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Q: Suppose an insect population increases by a constant percentage each month. Explain why the number…

A: Exponential growth increases at an expanding rate with the rate of change for y being proportional…

Q: The accompanying table shows the number of bacteria present in a certain culture over a 4 hour…

A: Given The table show the number of bacteria present in a certain culture over a 4 hour period where…

Q: Let us assume that cases grow at an exponential rate, with daily cases given by the formula

A: Note: Hi there! Thank you for posting the question. As your question has more than 3 parts, we have…

Q: se-2 log table (printed in

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Q: A population is known to grow exponentially. If it starts at 100 and is 150 after 3 months when will…

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Q: If an exponential function is described as decay what do know about the graph? What do you know…

A: The exponential function where b>0 is a function that will remain proportional to its original…

Q: Does the graph show an exponential growth or a logistic growth?

A: In exponential growth curve, the rate at the beginning is slow but then it increases as the size of…

Q: What are the Exponential Functions?

A: To define the exponential function.

Q: The rate of change of any exponential function is always positive. True False

A: True

Q: The revenue of an online retailer increases by $320,000 every year, this is an example of…

A: We will find if this is exponential.

Q: Acell population grows exponentially beginning with one cell. Which takes longer: increasing from…

A: Note that increasing from one to two cells means the population should be doubled. On the other hand…

Q: Why does the formula for exponential growth look familiar?

A: Exponential growth function looks like f(x)=a(1+r)x, where a is initial amount            r is…

Q: Explain the mathematical model for the exponential growth or decay.

A: Explain the mathematical model for the exponential growth or decay

Q: What is the exponentially rate of 0.85% every what ?

A: This question can be solved using the exponential growth of a function at a annual rate of r%…

Q: In terms of relative growth rate, what is the defining property of exponential growth?

A: To explain the defining property of exponential growth in terms of relative growth rate.

Q: Explain why the fx) = x is not an exponential function.

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Q: What is the branch point of log(−2)?

A: Given expression is, log-2 Now, at the point z=-2 we can consider the path as a circle of radius R.…

Q: Which is the following equations can be used to model exponential growth?

A: As we can see that option C and D are not exponential, they are polynomials   option C has (0.75)^x,…

Q: What is the domain of this exponential function?

A: Domain of an exponential function is all real number

Q: Find an equation of the exponential curve sketched in the figure on the right. 13-

A: Consider an exponential function, y=aebx Clearly, the graph is passing through the points (1, 4) and…

Q: Explain why. A HOW IS the graph of flt) = logyt related to th graph of glt) - 4*?

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Q: Suppose a new mosquito-borne virus has emerged and has caused 550 cases to- date. The number of…

A: A = A0(e-kt)  Where , k = Rate , t = time

Q: What is the Natural Exponential Function?

A: To Determine: what is the natural exponential function Explanation: let f(x)=ex be the function…

Q: What shape best describes the graph of an exponential​ model?

A: The graph of the exponential function is,

Q: Define the term compounded continuously?

A: To understand the concept of continuously compounded,we can say continuously compounded is the…

Q: What is the exponential growth rate of a virus if initially 209 people in a state tested positive…

A: Answer

Q: Describe the Natural Exponential Function?

A: Given: Natural exponential function: when the base b of the exponential function y=bx is replaced…

Q: What is the Exponential Behavior?

A: If the graph of a function shows rapidly increasing values of y with respect x, is called to be an…

Q: The population of Japan is decreasing at a rate of about .26% per year. Construct an exponential…

A: Let, The initial population of Japan at t=0 = Po Rate of decreasing = 0.26%

Q: Can you explain me the linear growth and exponential growth and how to use it ?

A: linear growth can be easily explained by equation

Q: An exponential equation is a nonlinear regressio

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Q: What is the Exponential Growth?

A: What is Exponential Growth?

Q: Give two pieces of information that may be used to formulate an exponential growth or decay…

A: We have to give two pieces of information that may be used to formulate an exponential growth or…

Q: Use a linear approximation to estimate log10(10.5).

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Q: What is the main features that introduced by the exponential function? explain using only equations.

A: An exponential function is a function in which we have the independent variable as the exponent and…

Q: Differentiate between Logarithmic and exponential functions?

A: Logarithmic functions: The logarithmic function is in the form of y=logax. For example log416,…

Q: Givethe graphs of some exponential functions?

A: Let us consider the exponential functions, y=2x,  y=5x  &  y=9x

Q: Suppose that a population that is growing exponentially increases from 800,000 people in 2010 to…

A: the exponential model is of the form, At=A0ekt where A0 original amount of the entity, t is the…

Q: The data in the table below represents the percentage of patients who have survived after diagnosis…

A: The data in the table below represents the percentage of patients who have survived after diagnosis…

Q: Use exponential regression to find an exponential function that best fits this data.

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Q: A professor surveyed students on their study habits, where "x" is the number of hours studying and…

A: The logarithmic regression equation is used to predict the y-values that lie inside (interpolate) or…

Q: what is the natural logarithm of 1/exy?

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Optimization

Optimization comes from the same root as "optimal". "Optimal" means the highest. When you do the optimization process, that is when you are "making it best" to maximize everything and to achieve optimal results, a set of parameters is the base for the selection of the best element for a given system.

Integration

Integration means to sum the things. In mathematics, it is the branch of Calculus which is used to find the area under the curve. The operation subtraction is the inverse of addition, division is the inverse of multiplication. In the same way, integration and differentiation are inverse operators. Differential equations give a relation between a function and its derivative.

Application of Integration

In mathematics, the process of integration is used to compute complex area related problems. With the application of integration, solving area related problems, whether they are a curve, or a curve between lines, can be done easily.

Volume

In mathematics, we describe the term volume as a quantity that can express the total space that an object occupies at any point in time. Usually, volumes can only be calculated for 3-dimensional objects. By 3-dimensional or 3D objects, we mean objects that have length, breadth, and height (or depth).

Area

Area refers to the amount of space a figure encloses and the number of square units that cover a shape. It is two-dimensional and is measured in square units.