The value of China's exports of automobiles and parts (in billions of dollars) is approximately f(z) = 1.8208e 3387 where x = 0 corresponds to the beginning of 1998. %3D In what year did/will the exports reach $7.2 billion?

Q: The rate of growth, in dollars per year, of the net worth, f(t), of a company is given by…

A:

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: The number of bacteria in a culture is given by the function ?(?) = 350?^0.8?, where t is measured…

A:

Q: Find the average rate of change of g(x) = - 3x + 4 from x = – 4 to a = 1. -

A: Given gx=-3x3+4We have to find average rate of change from x=-4 to x=1when…

Q: 5. Find the instantaneous rate of change of 1 g(x) = 2x – 32x° + 17x² – 9x + 4 at x = 2

A: Given equation is, gx=2x4-32x3+17x2-9x+4

Q: Suppose C(t) is the cost, in thousands of dollars, of producing t tons of white paper. If  C'(10) =…

A: Given:C(t) is the cost of producing t tons of white paper.It is known that,

Q: An accessories company finds that the​ cost, in​ dollars, of producing x belts is given by…

A: The​ cost, in​ dollars, of producing x belts is given by c(x) = 730 + 36x - 0.064x2

Q: Find the average rate of change of f(x) = 2x-7 from x = 3 to x = 6. Simplify your answer as much as…

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Q: What is the rate of change for h(x) = 8x - 9 on the interval [1, 4]?

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Q: Find the average rate of change of h (x)=-2x +4x from x=-2 to x=2. Simplify your answer as much as…

A:

Q: Find the average rate of change of g (x)=x-4x+1 from x 2 to x 6. Simplify your answer as much as…

A: Given data: The given function is g(x)=x2-4x+1. The lower limit of x is a=2. The upper limit of x is…

Q: Find the total income produced by a continuous income stream in the first 10 years if the rate of…

A:

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

A: ex

Q: f. Assume that the population of a certain city increases at a rate proportional to the number of…

A: Note: Since the image contains multiple questions, as per the answering guidelines we are to solve…

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: The population of a city can be modeled by P(t) = 24e0.0st thousand persons, where t is the number…

A:

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

A:

Q: A manufacturer of handcrafted wine racks has deter- mined that the cost to produce x units per month…

A: Given: C=0.2x2+10,000

Q: The management of a large chain of frozen yogurt stores in New England believes that t days after…

A:

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: Find the average rate of change of g(x) = −3x^2+2 from x = −5 to x = −1. Simplify your answer as…

A:

Q: If f(x) = 12x2 - x', what is the rate of change of f'(x) at (2, 40)? %3D Need Help? Watch It

A: Rate of change of f'(x)

Q: Find the average rate of change of h (x) = 2x² – 7x from x = 3 to r = 6. Simplify your answer as…

A:

Q: 2. In a certain culture of bacteria, the rate of increase is proportional to the number present. If…

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Q: Between 2006 and 2016, the nurmber of applications for patents, N, grew by about 3.6% per year. That…

A: Introduction: A differential equation is an equation that contains the derivative of an unknown…

Q: Find the average rate of change of g (x)=x´ + 2x+2 from x=2 to x=7. %3D Simplify your answer as much…

A: The given function,   g(x)=x2+2x+2 from x=2 to x=7

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

A:

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

A: Rate of the average cost of change = (change in output)/(change in input) = dy/dx…

Q: Find the average rate of change of f (x) =-2x´+6 from x=-3 to x=-1. Simplify your answer as much as…

A: Topic  = Algebra

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

A:

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

A: We can find the average rate of change of a function as below in the following steps.

Q: A pharmacologist studying a drug that has been developed to lower blood pressure determines…

A:

Q: Because of the popularity and power of smartphones, demand for wireless communication is growing…

A: Given:

Q: An accessories company finds that the​ cost, in​ dollars, of producing x belts is given by…

A: To find: The rate at which average cost is changing when 178 belts have been produced. Given: The…

Q: A company determines that its total cost, in thousands of 3x rands, for producing x items is C =…

A:

Q: Find the average rate of change of g (x) = 3x – 2x from x=3 to x=7. Simplify your answer as much as…

A:

Q: If g'(x) is the rate of growth of a giant redwood tree in feet per year, what does (see picture)…

A: solution is given below

Q: Find the average rate of change of f (x) = 2x- 8x from x= 2 to x = 5. Simplify your answer as much…

A: We will find the average rate of change.

Q: Find the average rate of change of g (x) = 2x²-9x from x=2 to x = 6. Simplify your answer as much as…

A: The  average rate of change of function f(x) from the point x=a to x=b is given by:-    (f(b) -…

Q: Suppose C(t) is the cost, in thousands of dollars, of producing t tons of white paper. If  C'(10) =…

A: The cost of producing t tons of white paper is c(t).The cost of producing 10 tons of white paper is…

Q: If g(x) = 3x3 + 6x2 + 4. What is the value ofthe instantaneous rate of change of g(x) when x = -1?

A: We have to solve the problem

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 average rate of change of f(x) = 3x-8x from x 1 to x = 6. Simplify your answer as much as…

A: average rate of change=  f(b)−f(a)/b−a a=1 b =6 f(x) = x(3x -8) f(a) = 1(3-8) = -5 f(b) = 6(18-8) 60…

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: The population of a city can be modeled by P(t) = 17e.04t thousand persons, wheret is the number of…

A: The population of a city can be modeled by P(t)=17e0.04t thousand persons, where t is the number of…

Q: An environmental study estimates that, t years from now, the level of carbon monoxide in the air of…

A:

Q: what is the average rate of change of f(x)=log2(x) between 4 and 32. write the answer as a fraction

A: It is average rate of change.

Q: Use the model below to estimate the average annual growth rate of a certain country's population for…

A: y=-0.0000082x3+0.00232x2-0.168x+8.334, where x is the number of years after 1900.

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

A:

Riemann Sum

Riemann Sums is a special type of approximation of the area under a curve by dividing it into multiple simple shapes like rectangles or trapezoids and is used in integrals when finite sums are involved. Figuring out the area of a curve is complex hence this method makes it simple. Usually, we take the help of different integration methods for this purpose. This is one of the major parts of integral calculus. 

Riemann Integral

Bernhard Riemann's integral was the first systematic description of the integral of a function on an interval in the branch of mathematics known as real analysis.