Answered: Find the exponential function y = Cekt…

Math

Calculus

Find the exponential function y = Cekt that passes through the two given points. (3,1/2),(4,5)

College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter6: Exponential And Logarithmic Functions

Section: Chapter Questions

Problem 2PT: Find an exponential equation that passes throughthe points (0,4) and (2,9).

See similar textbooks

Related questions

Q: Find the exponential function y = Cekt that passes through the two given points.

A: At t=2, y=3/2 At t=4, y=5

Q: Consider the exponential functions y=0.5*x , y=2*x , y=5*x . What value of x results in the same…

Q: The number of full-time and part-time employees of an online retailer increased exponentially from…

Q: 6- (1, 5) 3+ (5, 2) 2 1 +++ 1 2 3 4 5 6

A: y=Cekt, (1,5),(5,2)

Q: How do I write the exponential function in the form f(t) = ab^t for the points (0, 2000) and (2,20)?

Q: Find the exponential function y = Cekt that passes through the two given points. | = A y 8 7 (9, 7)…

Q: 'n, currently 3400, grows at a rate of 3% per yea wth can be expressed by the exponential equati= =…

A: Given: P=3400(1+0.03)t

Q: 11. Find the equation of the exponential function given below graphically in the form y = a · 2* +…

Q: Determine the exponential function with value of 5; increasing at a rate of 5% per year. A y=5e0.05x…

Q: Identify the equation of best fit of an exponential curve. O y = abx_ O y = a + bx Oy=a+bx+cx² O…

A: Third one is correct

Q: The half-life of a certain tranquilizer in the bloodstream is 45 hours. How long will it take for…

A: Simply put the given values in the exponential decay model.

Q: function passing through the points (-1, 4/3) and (1, 12).

Q: onsider the exponential equation: y=3•2x

A: Given Consider the exponential equation: y=3•2x We need to find Starting point: Multiplayer:

Q: Find the exponential function f(x) = Ca" whose graph goes through the points (0, 5) and (2, 20) a =

Q: Find the exponential function y = ab whose graph passes through the points (3, 108). y = > Next…

Q: 1 Find a formula for the exponential function passing through the points (-3, ) and (2, 16). 2 y =

Q: Find an exponential function with horizontal asymptote y=-3 whose graph contains t he points (0,-2)…

A: y=-3 and the graph of the function contains the points (0,-2) and( 2,1)

Q: Find a formula for the exponential function V=h(t) that gives the value of an item initially worth…

A: Find a formula for the function exponential function v=ht that gives the value of item initially…

Q: The population of a southern city follows the exponential law.(a) If N is the population of the city…

A: Given: The population of a southern city follows the exponential law. (a) If N is the population of…

Q: Find the exponential function y = Cekt that passes through the two given points.

A: Given that, y=Cekt ...(1)

Q: Find a possible formula for the exponential function through the points (-2, 150) and (1,6/5)…

Q: how long it will take for an investment of $2000 to double in value if the interest rate is 7.5% per…

A: We can solve the problem by constructing the problem at first the find the required time.

Q: Jay wants to invest $5,000 in an account with an interest rate of 8.5% that is compounded…

A: Here we have to find out amount of money.

Q: The half-life of a certain tranquilizer in the bloodstream is 32 hours. How long will it take for…

Q: Find the equation of the exponential function, in y=a(b)x form that passes through the points (3, 8)…

A: Solution: The objective is to find the equation of the exponential function

Q: Find a possible formula for the exponential function through the points (−1,10) and (2,2/25 y= f(x)=

A: Let the exponential function is Since it passes through the points (−1,10) and (2,2/25)

Q: Find the exponential function y = Cekt that passes through the two given points.

A: Find the exponential function y = Cekt that passes through the two given points 3,12 and 4,5.

Q: Find an equation for an exponential function that passes through the pair of points given. (Round…

A: Exponential equation that pair passes through (2, 36) and (4, 324) points

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: Find the equation for an exponential function that passes through the pair of points given below.…

A: Given, An exponential function passes through the points 1, 1.2 and 2, 0.72 We have to find the…

Q: The half-life of a certain tranquilizer in the bloodstream is 44 hours. How long will it take for…

A: It is given that the half-life of a certain tranquilizer in the bloodstream is 44 hours.

Q: The half-life of a certain tranquilizer in the bloodstream is 23 hours. How long il i take for the…

Q: 4 Find a formula for the exponential function passing through the points (-2,-) and (2,36) y = %3D

Q: 5 Find a formula for the exponential function passing through the points (-2,7) and (1,15)

A: Given, The exponential function passing through the points -2,59 and 1,15.We know that,…

Q: The population of a southern city is growing according to the exponential law. (a) If N is the…

A: Given: The population of a southern city is growing according to the exponential law. To find: (a)…

Q: 3 Find a formula for the exponential function passing through the points (-1, ) and (3, 24). y =

Q: Find the exponential function y = Cekt that passes through the two given points.

A: From the given graph, the exponential function passes through two point (5, 5) and 0,34. Substitute…

Q: Find the exponential function y = Cekt that passes through the two given points. (1, 1), (6, 6)

Q: At the beginning of an experiment, there are 100 bacteria. If the bacteria follow an exponential…

Q: Find the exponential function y = Cekt that passes through the two given points.

A: From the graph we can clearly see that the function is passing through 0,2 and 4,3Nowsubstitute 0,2…

Q: Find an exponential function of the form f(x) = ba* that has the given y-intercept and passes…

A: Y intercept are the coordinates that function intercepts the Y axis. That means that x = 0

Q: 3 Find a formula for the exponential function passing through the points (-2,-) and (1,6)

A: The exponential function is given by f(x)=abx Find values of a,b using the following conditions:…

Q: Find an exponential function of the form f(x) = bax that has the given y-intercept and passes…

A: Given:

Q: In the exponential growth or decay function y = y0ekt, whatdoes y0 represent? What does k represent?

A: Given: Growth or decay function y=y0ekt To Find: What does y0 and k reperesent?

Q: The population of California was 10.5 million people in 1950 and 37 million in 2010. a. Assuming…

A: Given, The population of California was 10.5 million people in 1950 and 37 million in 2010.

Q: A national cencus bureau predicts that certain population will increase from 36.1 million in 2000 to…

A: Given, A national cencus bureau predicts that certain population will increase from 36.1 million in…

Q: Find the exponential function y = Cekt that passes through the two given points. (Round the value…

Q: Find an exponential function having the given values. 1. f(0) = 5, f(3) = 40 2. f(0) = 80, f(4) =…

A: We find the exponential functionGiven condition(1) F(0) = 5, F(3) = 40(2) F(0) = 80 , F(4) =5

Q: Find the exponential function f(x)=a^x whose graph goes through the point (2,1/16) a=

A: Given, The exponential function fx = ax Whose graph is passing through the point 2, 116 We have…

Question

Find the exponential function y = Ce^kt that passes through the two given points.

(3,1/2),(4,5)

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Determinant$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.

Similar questions

An investment account was opened with aninitial deposit of 9,600 and earns 7.4 interest,compounded continuously. How much will theaccount be worth after 15 years?
Match the exponential function with one of the graphs labeled I,II,III and IV, shown below. (a) f(x)=2x (b) f(x)=2x (c) f(x)=2x (d) f(x)=2x
The function f(x)=ex is called the___________ Exponential function. The number eis approximately equal to________.
A radiation safety officer is working with 112 grams of a radioactive substance. After 17 days, thesample has decayed to 80 grams. Rounding to fivesignificant digits, write an exponential equationrepresenting this situation. To the nearest day, whatis the half-life of this substance?
The table shows the mid-year populations (in millions) of five countries in 2015 and the projected populations (in millions) for the year 2025. (a) Find the exponential growth or decay model y=aebt or y=aebt for the population of each country by letting t=15 correspond to 2015. Use the model to predict the population of each country in 2035. (b) You can see that the populations of the United States and the United Kingdom are growing at different rates. What constant in the equation y=aebt gives the growth rate? Discuss the relationship between the different growth rates and the magnitude of the constant.
Find an exponential equation that passes throughthe points (0,4) and (2,9).
Suppose that the initial size of a population is n0 and the population grows exponentially. Let n(t) be the size of the population at time t. (a) Write a formula for n(t) in terms of the doubling time a. (b) Write a formula for n(t) in terms of the relative growth rate r.