Purchase Solution

Derivatives, Rate of Change and the Fundamental Theorem of Calculus

Not what you're looking for?

Ask Custom Question

1. The resale value of a certain industrial machine decreases at a rate that depends on its age. When the machine is t years old, the rate at which its value is changing is -960e^-t/5 dollars per year.

a) Express the value of the machine in terms of its age and initial value.
b) If the machine was originally worth $5,200, how much will it be worth when it is 10 years old

2. Evaluate the following integral using the fundamental theorem of calculus.

Integrate with limits 1 to 9 (t^1/2 -4 /t^1/2) dt

Purchase this Solution

Solution Summary

Derivatives, Rate of Change and the Fundamental Theorem of Calculus are investigated. The solution is detailed and well presented. The response was given a rating of "5/5" by the student who originally posted the question.

Purchase this Solution


Free BrainMass Quizzes
Exponential Expressions

In this quiz, you will have a chance to practice basic terminology of exponential expressions and how to evaluate them.

Multiplying Complex Numbers

This is a short quiz to check your understanding of multiplication of complex numbers in rectangular form.

Know Your Linear Equations

Each question is a choice-summary multiple choice question that will present you with a linear equation and then make 4 statements about that equation. You must determine which of the 4 statements are true (if any) in regards to the equation.

Solving quadratic inequalities

This quiz test you on how well you are familiar with solving quadratic inequalities.

Probability Quiz

Some questions on probability