Question 1

Let  . Compute the following. ​  ,  ​

Accepted Answer

The answer of Let  . Compute the following. ​...

Question 2

Let  . Compute the following. ​  ,  ,  ​

Accepted Answer

The answer of Let  . Compute the following. ​...

Question 3

Sketch the level curves of the function corresponding to the given values of z. ​  ;  ​

Accepted Answer

The answer of Sketch the level curves of the function...

Question 4

Let  . Compute the following.
​  __________
​  __________
​  __________
​  __________

Accepted Answer

The answer of Let  . Compute the following.
​ ...

Question 5

The volume of a cylindrical tank of radius r and height h is given by
​  ​
Find the volume of a cylindrical tank of radius 2 ft and height 4 ft.

Accepted Answer

The answer of The volume of a cylindrical tank of...

Question 6

Sketch the level curves of the function corresponding to each value of z. ​  ;  ​

Accepted Answer

The answer of Sketch the level curves of the function...

Question 7

Find the domain of the function. ​  ​

Accepted Answer

The answer of Find the domain of the function. ​...

Question 8

Let  . Compute  . ​

Accepted Answer

To compute the next value, we increment the fourth grouping (from the right) by 1.

Question 9

Sketch the domain of the function. ​  ​

Accepted Answer

The answer of Sketch the domain of the function. ​...

Question 10

Find the domain of the function.
​

Accepted Answer

The answer of Find the domain of the function.
​ ...

Question 11

The volume of a cylindrical tank of radius r and height h is given by ​  ​
Find the volume of a cylindrical tank of radius 3 ft and height 8 ft.
​

Accepted Answer

The volume of a cylindrical tank of radius 3 ft and height 8 ft can be calculated using the formula given as V = πr^2h. 
Substituting the given values, we get V = π(3^2)(8) = 72π ≈ 225.41 cubic feet.

Option C is the only one that matches this value.

Question 12

Let  . Compute the following.
​  __________
​  __________
​  __________
​  __________
​  __________

Accepted Answer

The answer of Let  . Compute the following.
​ ...

Question 13

Let  . Compute the following.  ​

Accepted Answer

The answer of Let  . Compute the following. ...

Question 14

Find the domain of the function.
​

Accepted Answer

The answer of Find the domain of the function.
​ ...

Question 15

Sketch the level curves of the function corresponding to the given values of z. ​  ;  ​

Accepted Answer

The answer of Sketch the level curves of the function...

Question 16

Let  . Compute the following: ​  ​

Accepted Answer

To compute this problem, we only need to change the 3rd character from 0xb (11 in decimal) to 0xf (15 in decimal). All other characters remain the same. Therefore, the answer is 11eb651f_caf1_600f_b0a1_cdd6cdb0c7d5_TB8255_11.

Question 17

Find the domain of the function. ​  ​

Accepted Answer

The answer of Find the domain of the function. ​...

Question 18

Sketch the level curves of the function corresponding to the given values of z. ​  ;  ​

Accepted Answer

The answer of Sketch the level curves of the function...

Question 19

Sketch the domain of the function. ​  ​

Accepted Answer

The answer of Sketch the domain of the function. ​...

Quiz 8: Calculus of Several Variables

Let . Compute the following. ,

Let . Compute the following. , ,

Sketch the level curves of the function corresponding to the given values of z. ;

Let . Compute the following.

The volume of a cylindrical tank of radius r and height h is given by Find the volume of a cylindrical tank of radius 2 ft and height 4 ft.

Sketch the level curves of the function corresponding to each value of z. ;

Find the domain of the function.

Let . Compute .

Sketch the domain of the function.

Find the domain of the function.

The volume of a cylindrical tank of radius r and height h is given by Find the volume of a cylindrical tank of radius 3 ft and height 8 ft.

Let . Compute the following. __

Let . Compute the following.

Find the domain of the function.

Sketch the level curves of the function corresponding to the given values of z. ;

Let . Compute the following:

Find the domain of the function.

Sketch the level curves of the function corresponding to the given values of z. ;

Sketch the domain of the function.

Quiz 8: Calculus of Several Variables

Let . Compute the following. ​ , ​

Let . Compute the following. ​ , , ​

Sketch the level curves of the function corresponding to the given values of z. ​ ; ​

Let . Compute the following. ​ __________ ​ __________ ​ __________ ​ __________

The volume of a cylindrical tank of radius r and height h is given by ​ ​ Find the volume of a cylindrical tank of radius 2 ft and height 4 ft.

Sketch the level curves of the function corresponding to each value of z. ​ ; ​

Find the domain of the function. ​ ​

Let . Compute . ​

Sketch the domain of the function. ​ ​

Find the domain of the function. ​

The volume of a cylindrical tank of radius r and height h is given by ​ ​ Find the volume of a cylindrical tank of radius 3 ft and height 8 ft. ​

Let . Compute the following. ​ __________ ​ __________ ​ __________ ​ __________ ​ __________

Let . Compute the following. ​

Find the domain of the function. ​

Sketch the level curves of the function corresponding to the given values of z. ​ ; ​

Let . Compute the following: ​ ​

Find the domain of the function. ​ ​

Sketch the level curves of the function corresponding to the given values of z. ​ ; ​

Sketch the domain of the function. ​ ​

Let . Compute the following. ,

Let . Compute the following. , ,

Sketch the level curves of the function corresponding to the given values of z. ;

Let . Compute the following.

The volume of a cylindrical tank of radius r and height h is given by Find the volume of a cylindrical tank of radius 2 ft and height 4 ft.

Sketch the level curves of the function corresponding to each value of z. ;

Find the domain of the function.

Let . Compute .

Sketch the domain of the function.

Find the domain of the function.

The volume of a cylindrical tank of radius r and height h is given by Find the volume of a cylindrical tank of radius 3 ft and height 8 ft.

Let . Compute the following. __

Let . Compute the following.

Find the domain of the function.

Sketch the level curves of the function corresponding to the given values of z. ;

Let . Compute the following:

Find the domain of the function.

Sketch the level curves of the function corresponding to the given values of z. ;

Sketch the domain of the function.