Purchase Solution

Estimating the Area under the Curve

Not what you're looking for?

Ask Custom Question

Please see the attached file for the fully formatted problems.

1. Graph . Using the formula for the area of a rectangle to find the function: . What is ?
2. Graph . Using the formula for the area of triangles (or trapezoids) to find the function: . (assume that ) What is ?

3. Based on the graph sketched to the left, fill out the table of . What for value of in the interval is minimum? (Hint: you see the graph of not )

4. Find . 5. Find . 6. Find . 7. Find . 8. Find .

Attachments
Purchase this Solution
Solution Summary

The area under the curve is found using geometric means and integrals. The solution is detailed and well presented. The response was given a rating of "5/5" by the student who originally posted the question.

Solution Preview

Please see the attached file for the complete solution.
Thanks for using BrainMass.

Homework
1. Graph . Using the formula for the area of a rectangle to find the function: . What is ?

Between 1 to x, the area of the ...

Purchase this Solution
Free BrainMass Quizzes
Geometry - Real Life Application Problems

Understanding of how geometry applies to in real-world contexts

Solving quadratic inequalities

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

Probability Quiz

Some questions on probability

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.

Multiplying Complex Numbers

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

View More Free Quizzes
Related BrainMass Solutions

  • Prob/Stats Questions

    The total area under a probability distribution graph is equal to _____. 2. The normal distribution is a _____ distribution. 3. Discuss the shape of the normal curve. 4. Define "confidence level" in estimating mu, the population mean.

  • Estimating Area under a Graph

    155113 Estimating Area under a Graph If you have not seen it yet, consider flying with Professor Goetz over Rio hills. His GPS recorded the this graph of the velocity function v(t) .

  • Calculating probability under a standard normal curve

    582951 Calculating probability under a standard normal curve We are estimating the spares requirement for a radar power supply. The power supply was designed with a mean (μ) life of 6500 hours.

  • Area under a curve

    155111 Area under a curve description • Find an estimate of the area under the graph of between and above the -axis. Use four left endpoint rectangles. • Find an estimate of the area under the graph of between and above the -axis.

  • Curve of Regression (Part of a Physics Experiment)

    But I see that your actual curve (blue) and the regression curve (black) match quite closely, the area found above must be close to the true area. Area under the curve of regression has been approximated using integration in the solution.

  • Find the area under the curve.

    30641 Find the area under the curve. Find the area under the curve y=-x^2+3x from x=1 to x=4 Please see the attached file for the complete solution. Thanks for using BrainMass.

  • Area under a curve

    This provides an example of determining area under a curve. The areas under the curve are determined.

  • Statistics - Normal Distributions

    188956 Area under standard normal curve - Part 1) Sketch area under standard normal curve over the indicated intervals, and find the specified area. ...

  • Z-score and Area under the Normal curve

    266260 Z-Score and Area Under the Normal Curve Discuss the difference between a z-score and the area under the normal curve. What exactly does a z-score represent? What does the area under the graph of a normal probability distribution represent?

View More Related Solutions