Determine accumulated rate of change using definite integral

Reference no: EM1317795

Determine accumulated rates of change using definite integral.

Give another example with solutions to emphasize that the definite integral can be used to calculate accumulated rates of change.Use this concept and explain the steps in detail

Let dV(t)/dt describe the flow rate of water into a tank. Then note the following: Integral(a,b)dV/dt dt = V(b) - V(a), where V(t) is the volume in the tank at time t. V(b) - V(a) gives the amount the tank was filled between times a and b. Explain how this represents an accumulated rate of change in detail

Reference no: EM1317795

Questions Cloud

Using dissimilarity between two means : While purchasing a home, location is everything. As a buyer, one should be aware of the cost of living in the area of choice, as well as expect a higher cost the closer to the center of town you get.

Convince your colleagues that introducing the new soft drink : If you were a manager at PepsiCo, would you try to convince your colleagues that introducing the new soft drink is the most profitable strategy.

Derivative of the natural logarithm : Derivative of the natural logarithm by using the fundamental theorem of calculus - Evaluate the derivative of y = ln x. This solution below is not complete.

Test for one sample population mean : By using a level of significance of .10, is there evidence that the population mean weight of the candy bars is greater than 4.3?

Determine accumulated rate of change using definite integral : Determine accumulated rates of change using definite integral - Explain how this represents an accumulated rate of change in detail

Comment on global marketing strategy : Comment on the global marketing strategy of Mattel that led Mattel to persist despite the decline of its market share.

Illustrate what is nicks gross demand for x : Which he can trade at the going prices. He has no other source of income. Illustrate what is Nick's gross demand for x.

Purpose of data from the given statement : A company has developed the new battery, but the average lifetime is unknown. In order to estimate the average, a sample of 150 batteries is tested and an average lifetime of this sample is found to be 250 hours.

Solving equation by the substitution method : Solving equation by the substitution method.

User Account

All Pages