Questions from General Calculus

Q: Describe and sketch the surface. z = 1 - y2

Describe and sketch the surface. z = 1 - y2

Q: Graph the surfaces z = x2 + y2 and z = 1

Graph the surfaces z = x2 + y2 and z = 1 - y2 on a common screen using the domain |x | < 1.2, |y | < 1.2 and observe the curve of intersection of these surfaces. Show that the projection of this curve...

Q: Describe and sketch the surface. y = z2

Describe and sketch the surface. y = z2

Q: Find an equation of the plane. The plane through the

Find an equation of the plane. The plane through the point (1, -1, -1) and parallel to the plane 5x - y - z = 6

Q: Describe and sketch the surface. xy = 1

Describe and sketch the surface. xy = 1

Q: Describe and sketch the surface. z = sin y

Describe and sketch the surface. z = sin y

Q: Graphs of the position functions of two particles are shown, where

Graphs of the position functions of two particles are shown, where t is measured in seconds. When is each particle speeding up? When is it slowing down? Explain.

Q: Given the points A (1, 0, 1), B

Given the points A (1, 0, 1), B (2, 3, 0), C (-1, 1, 4), and D (0, 3, 2), find the volume of the parallelepiped with adjacent edges AB, AC, and AD.

Q: (a). Find a vector perpendicular to the plane through the

(a). Find a vector perpendicular to the plane through the points A (1, 0, 0), B (2, 0, -1), and C (1, 4, 3). (b). Find the area of triangle ABC.

Q: A constant force F = 3i + 5j + 10k moves an

A constant force F = 3i + 5j + 10k moves an object along the line segment from (1, 0, 2) to (5, 3, 8). Find the work done if the distance is measured in meters and the force in newtons.