Purchase Solution

Integration : Arc Length of Curve, Tangent Line, Limits and Solid of Revolution

Not what you're looking for?

Ask Custom Question

1. Find the volume of the solid generated by revolving the region enclosed by: {see attachment}

2. Find the arc length of the graph of the curve {see attachment}

3 - 7. Integrate attached equations ...

8. Find the limit of the improper integral: {see attachment}

9. Find the arc length of the curve given in parametric form by: {see attachment}

10. Find the equation of the tangent line in Cartesian coordinates of the curve given in polar coordinates by: {see attachment}

Attachments
Purchase this Solution
Solution Summary

Integration is used to solve problems involving Arc Length of Curve, Tangent Line, Limits and Solid of Revolution. The solution is detailed and well presented. The response received a rating of "5" from the student who originally posted the question.

Purchase this Solution
Free BrainMass Quizzes
Solving quadratic inequalities

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

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.

Exponential Expressions

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

Probability Quiz

Some questions on probability

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

  • Integration, limits, and curves

    Arc length = This provides examples of integration, limit of an improper integral, and arc length of a curve.

  • Volume of a Solid of Revolution, Arc-Length, Parametric Form, Improper Integrals, Limits and MacLaurin Series

    Volume of a Solid of Revolution, Arc-Length, Parametric Form, Improper Integrals, Limits and MacLaurin Series are investigated. The solution is detailed and well presented.

  • Area Bounded by Curves & Volume of Solid of Revolution

    starts at 0 and blows up to cone size at x=9. 56) Find the volume of the solid generated when the curve x= 4th root of 4-y^2 between y=1 and y=2 is revolved about the y axis. 58) Find the arc length of the curve y= ln(cos x) on the interval [0,

  • differential equation

    Two consecutive values of 0.4x which make this possible are 0 and . Hence we get the values of x as 0 and . Hence arc length of the curve is given by .

  • Arc length and surface area

    This provides examples of setting up integrals to find arc length, and finding area of a surface of revolution.

  • Concepts of Integration

    If f(x) = x^2, find its solid volume for x∈[-3, -1] 6. Integrate 1 / (x^2 + 2x + 1)+1 7. What is the arc length of h(x) = x^0.5 for x∈[0, 5]. Attached are the steps and solution and given guide lines.

  • Solid and Surface of Revolution

    What is missing in this surface of revolution as a function of x revolved around the y-axis: ? A) Nothing, the formula is fine as is. B) Nothing, but the limits of integration should be on the interval [c, d].

  • Volume of a Solid of Revolution (2 Problems)

    38987 Volume of a Solid of Revolution (2 Problems) Find the volume of the solid obtained by rotating the region bounded by the given curve about the specific line.

  • Charecteristics of a curve

    Let g(t) = (a cos (wt) , a sin(wt) , bt) t>0 Find explicitly the arc length parametrization h(s) of the curve Find the unit tangent and principle normal vectors at an arbitrary point h(s) Find the curvature k(s) Please see the attached file for

View More Related Solutions