The value of China's exports of automobiles and parts (in billions of dollars) is approximately f(z) = 1.8208eº e0.33872, where x 0 corresponds to 1998. In what year did/will the exports reach $7.3 %3D billion?

Q: Since the development of the iPod, the stock price of Apple has been growing rapidly and has been…

A: Given the development of the iPod that includes the stock price of Apple in which it grows rapidly…

Q: find the n-th derivative of f(x). f(x)=e^-2x

A: Given function is fx=e-2x. Chain rule of differentiation states that: ddxfgx=f'gxg'x Now, we find…

Q: 4. Write the equation of the line tangent to f(x) = (e* +2x +1)In(e* +2x+1), when x = 0.

A:

Q: A population of yeast cells can double in 6 hours. Assume an initial population of 4,000 cells.Write…

A:

Q: What is the derivative of y e2x –1

A:

Q: The city manager of Playa Linda estimates that water is being consumed by his community at a rate of…

A: Answer

Q: What is the millionth derivative of f(x) = e x ?

A: ex

Q: Given the function f(x)=x2/3, which of the following is a valid formula for the instantaneous rate…

A:

Q: Find the derivative. (e^(x^3+1))^4

A: Given :

Q: 9(X)=e²=0

A:

Q: Find the derivative of f(x)=x^2 e^2.5x

A: Given problem:- Find the derivative of f(x)=x2 e2.5x

Q: Find the derivative y = (2x – a) (x² + e-")

A: We havey= (2x-x3)(x2 + e-x)

Q: A population of bacteria is growing according to the equation P(t) 1800e 0.09t. Estimate when the…

A: The population is given as a function of time. So put the population to get the answer.

Q: What is the second derivative of f (x) = e²?

A:

Q: D) Find the derivative of f(x) = log3 5x² + 1

A:

Q: Given the function f(x) = x2/3, which of the following is a valid formula for the instantaneous rate…

A: fx=x23fx+h=x+h23At x=8f8+h=8+h23f8=823=23×23=4

Q: What happens to the rate of change of the exponential function y = ax as a becomes larger?

A: To explain the given problem

Q: The number of bacteria growing in an incubation culture increases with time according to n(t) =…

A: The number of bacteria growing in an incubator culture increases with time according to the function…

Q: An accessories company finds that the cost, in dollars, of producing x belts is given by C(x) = 770…

A: Given: The cost function is given as, C(x)=770+38x-0.062x2 The objective is to find the rate at…

Q: A population of bacteria is growing according to the equation P(t) = 1950e" 10. Estimate when the…

A:

Q: An accessories company finds that the cost, in dollars, of producing x belts is given by C(x) = 720…

A:

Q: The concentration of an antihistamine in the bloodstream of a healthy adult is modeled by C = 12.5 -…

A:

Q: Find the derivative of f(x)=(x+4)e^(5x)

A: We have to find the derivative of f(x) ,where f(x) is given by

Q: If F = 0.85 and MSE = 86, what is MST equal to?

A: The total variation present in a set of observable quantities may, under certain circumstances, be…

Q: The duration (time in hours) of dialysis required is modeled by the function y = In(1.5x + 0.5/9x² –…

A:

Q: _xe. f(x) = (1+e*)

A: Here we have to find the differentiation of given function. The solution is following.

Q: Find the average rate of change of g(x) = 4x+5 from a 3 to = 4

A:

Q: The number of U.S. citizens aged 65 years and older from 1900 through 2050 is estimated to be…

A:

Q: The cost of installing insulation in a particular two-bedroom home is $2400. Present monthly heating…

A: It is given that present heating cost per month is $200. As the heating cost reduced after…

Q: Find the derivative of the function g(x) = 300(4 – e-0.1x)

A: The solution is given as follows

Q: Find the equation of the line tangent to the graph of f at the indicated value of x. f(x) = In x²;…

A:

Q: An accessories company finds that the cost, in dollars, of producing x belts is given by C(x) = 740…

A: Divide the given function C(x) by the number of units produced ,that is x to obtain the average…

Q: An accessories company finds that the cost, in dollars, of producing x belts is given by C(x) = 730…

A: The cost function is Cx=730+37x-0.062x2To find the rate at which average cost is changing when x…

Q: Jnx 13. g(x) = x*

A: The given expression is g(x)=xlnx. Let y=xlnx. Take natural log on both sides of the equation.…

Q: The total expenditures (in millions) of current dollars for pollution abatement and control during…

A: Here we find the total expenditure.

Q: Calculate the derivative   f(x)=e^(6x^2) / e^x+e^(2x)

A:

Q: Find the function with the derivative f'(x) 3x = e whose graph passes through the point P| 0,

A:

Q: Find the derivative of the function. y = 4x e -2x – 4 e x5

A:

Q: Find the derivative of the function. f(x)=4tan-1(e9x)

A: Consider the given equation

Q: The annual amount that we spend to attend sporting events can be modeled by f(x)=1.09 + 1.1ln(x),…

A: The annual amount that we spend to attend sporting events can be modeled by f(x)=1.09+1.1lnx, where…

Q: Find the implicit derivative given a³ – 2b² = 7ey

A: For the implicit differentiation, we take y as a function of x and a, b are constants. We are given,…

Q: Find the average rate of change of g (x) = 2x - 8x from x=2 to x= 6. Simplify your answer as much as…

A:

Q: What is the second derivative of * f(x) = e²?

A: We have to find second derivative of the function: fx=ex2 We know the formula of derivatives,…

Q: There is a relationship between perceived corruption and human development in a country that can be…

A: Given  H(x)=0.3+0.28 In x                 where H(x) is Human development index…

Q: Find the derivative of the exponential function f ( x ) = 5x 2 e 7x

A: Given function: f(x)=5 x2 e7x     Calculate the derivative of f(x): f(x)=5 x2 e7x   Take the…

Q: if the rate of growth of the population of deer in a forest is modeled by R(t)= 2000e^(0.23t) deer…

A: The rate of growth of the population of deer in a forest is modeled by R(t)= 2000e(0.23t) deer per…

Q: The duration (time in hours) of dialysis required is modeled by the function y = In(1.5x + 0.5V9x2 –…

A:

Q: Given the function g(x)=x² −2x³ +1, a. Estimate the instantaneous rate of change at x = 1. b. Will…

A:

Q: Find the derivative ofe 11. D[(4x – 5)']

A: Given query is to find the derivative of thw expression.

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.