Calculus 2 : Parametric, Polar, and Vector

Study concepts, example questions & explanations for Calculus 2

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Example Questions

Example Question #14 : Graphing Vectors

In which quadrant does the vector  terminate from the origin?

Possible Answers:

Correct answer:

Explanation:

The vector

goes unit left from the origin and  units down, terminating in Quadrant III.

Example Question #15 : Graphing Vectors

In which quadrant does the vector  terminate from the origin?

Possible Answers:

Quadrant IV

Quadrant I

Quadrant II

Quadrant III

Correct answer:

Quadrant I

Explanation:

From the origin, the vector  goes to the right  units and up  units, terminating in

Quadrant I.

Example Question #16 : Graphing Vectors

In which quadrant does the vector  terminate from the origin?

Possible Answers:

Quadrant II

Quadrant I

Quadrant IV

Quadrant III

Correct answer:

Quadrant III

Explanation:

From the origin, the vector  goes to the left  units and down  units, terminating in

Quadrant III.

Example Question #17 : Graphing Vectors

In which quadrant does the vector  terminate from the origin?

 

 
Possible Answers:

Quadrant III

Quadrant I

Quadrant IV

Quadrant II

Correct answer:

Quadrant IV

Explanation:

From the origin, the vector  goes to the right  units and down  units, terminating in

Quadrant IV.

Example Question #971 : Calculus Ii

In which quadrant does the vector  terminate from the origin?

Possible Answers:

Correct answer:

Explanation:

The vector  goes to the right  units from the origin and then up  units, with terminal point in 

Example Question #972 : Calculus Ii

In which quadrant does the vector  terminate from the origin?

 

 
Possible Answers:

Correct answer:

Explanation:

The vector  goes to the right  units from the origin and then down  units, with terminal point in 

Example Question #973 : Calculus Ii

In which quadrant does the vector terminate from the origin?

Possible Answers:

Correct answer:

Explanation:

The resulting vector terminates in

Example Question #981 : Calculus Ii

In which quadrant does the vector terminate from the origin?

Possible Answers:

Correct answer:

Explanation:

The resulting vector terminates in

Example Question #982 : Calculus Ii

In which quadrant does the vector terminate from the origin?

Possible Answers:

Correct answer:

Explanation:

The resulting vector terminates in

Example Question #1 : Derivatives Of Vectors

Given the following vector:

Find the second derivative of .

Possible Answers:

Correct answer:

Explanation:

In order to obtain the second derivative, we will have to differentiate each component twice. We know how to differentiate the following:

.

We also have :

and this gives:

For the constant component , we know that it is derivative is zero.

This gives us the solution that we are looking for:

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