Exam 13: Vector Functions

Sketch the curve of the vector function nd indicate the orientation of the curve.

Select the correct Answer: for each question. -Find the scalar tangential and normal components of acceleration of a particle with position vector

The helix intersects the curve at the point Find the angle of intersection.

Evaluate the integral.

Select the correct Answer: for each question. -Find parametric equations for the tangent line to the curve with parametric equations at the point with

Find the speed of a particle with the given position function.

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

Find the unit tangent vector for the curve given by

Select the correct Answer: for each question. -A projectile is fired with an initial speed of and angle of elevation Find the range of the projectile.

Find the length of the curve Select the correct Answer

A particle moves with position function Find the tangential component of the acceleration vector.

Sketch the curve of the vector function and indicate the orientation of the curve.

Find the scalar tangential and normal components of acceleration of a particle with position vector

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

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

for the function given.

Find the velocity, acceleration, and speed of an object with position function for Sketch the path of the object and its velocity and acceleration vectors.

Find the limit.

Select the correct Answer for each question. -A particle moves with position function Find the tangential component of the acceleration vector.

Find the curvature of the curve Select the correct Answer