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

Q: How can we define the value of an exponential function at an irrational powerusing the exponential…

A: Irrational numbers are those numbers that cannot be expressed as fraction p/q.

Q: Solve the exponential equation using logarithms.

A:

Q: What are the  Exponential Curves?

A: Exponential curves is a function in which the variable appeares in theexponent and it grows…

Q: Hillcrest High School is in a growing area of the city and now has 1077 students. The school…

A:

Q: It’s important for me to check that the proposed solution of an equation with logarithms gives only…

A: We know ,a logarithmic function of the form,logax is defined only when, Meaning that logarithmic…

Q: 1000 .Silver Heights Secondary School has a capacity of 1600 students. The school, which is in a…

A:

Q: Explain briefly low order polynomial, logarithmic and exponential functions.

A: Low order polynomial: We want to find methods that retain the advantages of the higher-order…

Q: Explain why Y= 1^x is not an exponential relation.

A:

Q: What are the Exponential Functions?

A: To define the exponential function.

Q: A scientist discovered a new strain of bacteria. The bacteria culture initially contained 5000…

A: Let the number of bacteria at time x is given by: y(x) Therefore: y(0)=5000                 Initial…

Q: Explain why f (x) = x 3 does not grow exponentially .

A:

Q: Give real life situation in which Exponential functions can be illustrated. Discuss how the…

A: Exponential functions are used to model populations, carbon date artifacts, help coroners determine…

Q: When looking at an equation, how can you determine whether it represents exponential decay or…

A:

Q: s Canada has been tracking the number of farming familie ere were 31 850 farming families. Since…

A: Given: Initial number of families=31850Average rate of decrease=3.3%=0.033 The calculations for the…

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

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

Q: Why is the base of an exponential function restricted to positive numbers not including 1?

A: Why is the base of an exponential function restricted to positive numbers not including 1?

Q: Exponential growth is a common application of calculus. Please explain a real life application of…

A: We know that, Exponential growth is given by, f(x)= a(1+r)x f(x)= abx N=N0ekt where, r is the rate…

Q: Determine the rule of the exponential function in the form y = ac* that is represented in the table…

A: We have to find function

Q: Please provide at least 2 real-life examples of Exponential functions

A:

Q: Because carbon-14 decays exponentially, carbon dating can determine the ages of ancient…

A: Concept: The calculus helps in understanding the changes between values that are related by a…

Q: how to use a calculator to approximate an exponential function like 23.4 or 32.4 Or can you show me…

A: In order to approximate the value 23.4 or 32.4, turn on T1-83 calculator and then click the MODE…

Q: Explain the meaning of logb x.

A:

Q: Find a formula for the exponential function passing through the points ( – 2, 108) and (1, 4) f(x) =

A: NOTE: Refresh your page if you can't see any equations. . the exponential function is in the form of…

Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.