Thread: Calculus Problems

1. Calculus Problems

Hello All,
Calculus this year for me has not been an enjoyable experience and I would appreciate any help with these problems. This is a graded assignment for the end of my 3rd quarter. I would like to end off on a good note so hopefully someone can assist me. Thank you.

1. Find the volume of a solid whose base is enclosed by the circle x^2 + y^2=1, and whose cross sections taken perpendicular to the base are equilateral triangles with bases in the xy-plane.

2. Let R be the region enclosed by the graphs of y=ln(x^2 + 1) and y=cos(x). Setup, using integrals, but do not evaluate the following:
a. The area of R.
b. The base of a solid is region R. Each cross section of the solid perpendicular to the x-axis is an isosceles right triangle. Express the volume of the solid.

2. Originally Posted by clevy09
Hello All,
Calculus this year for me has not been an enjoyable experience and I would appreciate any help with these problems. This is a graded assignment for the end of my 3rd quarter. I would like to end off on a good note so hopefully someone can assist me. Thank you.

1. Find the volume of a solid whose base is enclosed by the circle x^2 + y^2=1, and whose cross sections taken perpendicular to the base are equilateral triangles with bases in the xy-plane.

2. Let R be the region enclosed by the graphs of y=ln(x^2 + 1) and y=cos(x). Setup, using integrals, but do not evaluate the following:
a. The area of R.
b. The base of a solid is region R. Each cross section of the solid perpendicular to the x-axis is an isosceles right triangle. Express the volume of the solid.
I'm afraid we do not offer help on MHF when the questions are graded assignments, etc.

Apologies. However, you may ask general questions about the ideas behind what you should be learning.