Purchase Solution

Arc length and surface area

Not what you're looking for?

Ask Custom Question

Please show all your work with helpful explanations.

1. Find the length of the arc of the curve y = x^(3/2) from x=1 to x=2.
2. Find the length of the arc of the curve y = ln(sec x) from x=0 to x=PI/4. What is the length of the curve from x=0 to x=PI/2?
5. Find the surface area of the cone formed by rotating the line y = ax about the x axis from x=0 to x=b.

7. Find the surface area of the top quarter of the sphere of radius r. Please see the attachment for complete question.

Attachments
Purchase this Solution
Solution Summary

Help is given to find the length of the arc of the curve as well as the length of the curve in this question.

Purchase this Solution
Free BrainMass Quizzes
Multiplying Complex Numbers

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

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

Graphs and Functions

This quiz helps you easily identify a function and test your understanding of ranges, domains , function inverses and transformations.

View More Free Quizzes
Related BrainMass Solutions

  • Arc length and surface area

    254331 Arc length and surface area.. Set up and simplify the integral that gives the length of the given smooth arc. Do not evaluate the integral.

  • Length of an arc and surface area of a function

    The lengths of an arc and surface area of a function is found. The revolved functions in a graph are generated.

  • Civil Engineering and Construction Pathways : Length of an Arc and Volume of Dirt

    47598 Length of an Arc and Volume of Dirt See the attached file. A. The diagram over shows an area of a railway cutting that has failed in the form of a shallow rotational slip.

  • Finding volume bounded by given curves

    Find the indicated limit The solution gives detailed steps on ten calculus questions: finding volume bounded by given curves using different methods, calculating arc length and surface area.

  • Mathematics - Other

    cut piece = 50 mm Surface area of each piece = 2(cross-sectional area) + area of the curved surface = 2(272.71) + (length of the arc x 50) = 545.42 + [R x 50] = 545.42 + [25 x 0.873 x 50] = 1636.67 mm².

  • Finding the area of a surface of revolution

    125831 Finding the Area of a Surface of Revolution Q: The curve y = sqrt(9-x^2), -1<=x<=1 is an arc of the circle x^2 + y^2 = 9. Find the area of the surface obtained by rotating this arc about the x-axis.

  • 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,

  • Volume of Cone from Circle with Missing Sector

    (2) The area of the sector is , which is the surface area of the cone. By the surface area formula: A=Pi*r^2+Pi*r*s, where s= slant height=5.

  • Cycloids

    128285 Cycloids : Area and Arc Length See attached file for full problem description. To see a drawing of two loops, go to the Wikipedia article on Cycloids (http://en.wikipedia.org/wiki/Cycloid).

View More Related Solutions