Questions from General Calculus

Q: For what values of does the curve y = cx3 + ex

For what values of does the curve y = cx3 + ex have inflection points?

Q: Find the volume of the described solid S. A cap

Find the volume of the described solid S. A cap of a sphere with radius r and heigh h.

Q: Find the volume of the described solid S. A frustum

Find the volume of the described solid S. A frustum of a pyramid with square base of side b, square top of side a, and height h.

Q: Graph the astroid x = a cos3θ, y = a sin3θ

Graph the astroid x = a cos3θ, y = a sin3θ and set up an integral for the area that it encloses. Then use a computer algebra system to evaluate the integral.

Q: Show that if a > -1 and b > a +

Show that if a > -1 and b > a + 1, then the following integral is convergent.

Q: Find the volume of the described solid S. A tetrahedron

Find the volume of the described solid S. A tetrahedron with three mutually perpendicular faces and three mutually perpendicular edges with lengths 3 cm, 4 cm, and 5 cm

Q: Find the volume of the solid obtained by rotating the region bounded

Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified line. Sketch the region, the solid, and a typical disk or washer.

Q: Find the volume of the solid obtained by rotating the region bounded

Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified line. Sketch the region, the solid, and a typical disk or washer.

Q: Find the volume of the solid obtained by rotating the region bounded

Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified line. Sketch the region, the solid, and a typical disk or washer.

Q: Find the volume of the solid obtained by rotating the region bounded

Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified line. Sketch the region, the solid, and a typical disk or washer.