Question 1

Find

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Question 2

Find the limit

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Question 3

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

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Question 4

Find the velocity and position vectors of an object with acceleration  initial velocity

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Question 5

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

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Question 6

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

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Question 7

Find the derivative of the vector function.

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Question 8

Find the position vector of a particle that has the given acceleration and the given initial velocity and position.

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Question 9

Find equations of the normal plane to

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Question 10

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

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Question 11

Find the following limit.

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Question 12

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

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Question 13

The curves  intersects at the origin.Find their angle of intersection correct to the nearest degree.

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Question 14

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

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Question 15

Find an expression for

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Question 16

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

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Question 17

Find the integral

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Question 18

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.

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Question 19

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

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Question 20

A particle moves with position function  Find the acceleration of the particle.

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Quiz 13: Vector Functions

Find

Find the limit

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

Find the velocity and position vectors of an object with acceleration initial velocity

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

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

Find the derivative of the vector function.

Find the position vector of a particle that has the given acceleration and the given initial velocity and position.

Find equations of the normal plane to

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

Find the following limit.

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

The curves intersects at the origin.Find their angle of intersection correct to the nearest degree.

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

Find an expression for

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

Find the integral

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

A particle moves with position function Find the acceleration of the particle.