Exam 13: Vector Functions

Find the limit

For the curve given by find the unit normal vector.

Select the correct Answer: for each question. -Find the speed of a particle with the given position function.

The torsion of a curve defined by is given by Find the torsion of the curve defined by

Find parametric equations for the tangent line to the curve with the given parametric equations at the specified point.

Find parametric equations for the tangent line to the curve with the given parametric equations at the specified point.Select the correct Answer

The torsion of a curve defined by is given by Find the torsion of the curve defined by

Find the limit

Find a vector function that represents the curve of intersection of the two surfaces: the top half of the ellipsoid and the parabolic cylinder

A projectile is fired with an initial speed of and angle of elevation Find the range of the projectile.Select the correct Answer

Find the unit tangent and unit normal vectors for the curve C defined by Sketch the graph of C

Select the correct Answer: for each question. -Use Simpson's Rule with n = 4 to estimate the length of the arc of the curve with equations from Round yourAnswer to four decimal places.

Find the point of intersection of the tangent lines to the curve at the points where

Find the derivative of the vector function.

Select the correct Answer: for each question. -Let Find the domain of

Find the length of the curve Select the correct Answer

Find the unit tangent vector Select the correct Answer

Select the correct Answer for each question. -At what point on the curve is the normal plane parallel to the plane

for the function given.

Find the acceleration of a particle with the following position function.