Questions from General Calculus

Q: Find symmetric equations for the line of intersection of the planes.

Find symmetric equations for the line of intersection of the planes. z = 2x - y - 5, z = 4x + 3y - 5

Q: Find an equation for the plane consisting of all points that are

Find an equation for the plane consisting of all points that are equidistant from the points (1, 0, -2) and (3, 4, 0).

Q: Find an equation for the plane consisting of all points that are

Find an equation for the plane consisting of all points that are equidistant from the points (2, 5, 5) and (-6, 3, 1).

Q: Find dy/dx by implicit differentiation. x4 + x2y2

Find dy/dx by implicit differentiation. x4 + x2y2 + y3 = 5

Q: At what point on the y = 1 + 2ex – 3x

At what point on the y = 1 + 2ex – 3x curve is the tangent line parallel to the line ?Illustrate by 3x – y = 5 graphing the curve and both lines.

Q: Differentiate the function. f (x) = x ln

Differentiate the function. f (x) = x ln x - x

Q: Find an equation of the plane with x-intercept a,

Find an equation of the plane with x-intercept a, y-intercept b, and z-intercept c.

Q: (a) Find the point at which the given lines intersect

(a) Find the point at which the given lines intersect: (b). Find an equation of the plane that contains these lines.

Q: Find parametric equations for the line through the point (0,

Find parametric equations for the line through the point (0, 1, 2) that is perpendicular to the line x = 1 + t, y = 1 - t, z = 2t and intersects this line.

Q: Find parametric equations for the line through the point (0,

Find parametric equations for the line through the point (0, 1, 2) that is perpendicular to the line x = 1 + t, y = 1 - t, z = 2t and intersects this line.