Question 1

Find the equation of the tangent plane to the given surface at the specified point.\ Select the correct Answer 
A) 
B) 
C) 
D) 
E)

Accepted Answer

1912.0

Question 2

Find and classify the relative extrema and saddle points of the function  for  and

Accepted Answer

The answer of Find and classify the relative extrema and...

Question 3

Let  Find  Select the correct Answer
A)24
B)3/2
C) 
D)6

Accepted Answer

1904.0

Question 4

Find the equation of the normal line to the given surface at the specified point.

Accepted Answer

The answer of Find the equation of the normal line...

Question 5

Find the domain and range of the function

Accepted Answer

The answer of Find the domain and range of the...

Question 6

Suppose that over a certain region of space the electrical potential V is given by  Find the rate of change of the potential at  in the direction of the vector  Select the correct Answer
A)44
B) 
C)20
D) 
E)-0.96

Accepted Answer

1915.0

Question 7

At what point is the following function a local maximum?

Accepted Answer

The answer of At what point is the following function...

Question 8

Find the limit  Hint: If  and  then  if and only if  Select the correct Answer
A)1
B)0
C) 
D)

Accepted Answer

1907.0

Question 9

Find the domain and range of the function

Accepted Answer

The answer of Find the domain and range of the...

Question 10

A boundary stripe 2 in.wide is painted around a rectangle whose dimensions are 100 ft by 240 ft.Use differentials to approximate the number of square feet of paint in the stripe.Select the correct Answer
A)113 
B)113.81 
C)113.22 
D)113.89 
E)113.33

Accepted Answer

1913.0

Question 11

Find the domain and range of the function

Accepted Answer

The answer of Find the domain and range of the...

Question 12

Use the definition of partial derivatives as limits to find  if  Select the correct Answer
A) 
B) 
C) 
D) 
E)

Accepted Answer

1909.0

Question 13

Find the dimensions of a rectangular box of maximum volume such that the sum of the lengths of its 12 edges is

Accepted Answer

The answer of Find the dimensions of a rectangular box...

Question 14

Find the limit

Accepted Answer

The answer of Find the limit ...

Question 15

Find the indicated partial derivative.

Accepted Answer

The answer of Find the indicated partial derivative. ...

Question 16

How many  artial derivatives does a function of two variables have?

Accepted Answer

The answer of How many  artial derivatives does a...

Question 17

Determine the largest set on which the function is continuous.

Accepted Answer

The answer of Determine the largest set on which the...

Question 18

Find the shortest distance from the point  to the plane  Select the correct Answer
A) 
B) 
C) 
D) 
E)

Accepted Answer

1920.0

Question 19

Find the absolute minimum value of the function  on the set D.D is the region bounded by the parabola  and the line  Select the correct Answer
A) 
B) 
C)30
D) 
E)0

Accepted Answer

1918.0

Question 20

Use implicit differentiation to find

Accepted Answer

The answer of Use implicit differentiation to find  ...

Quiz 14: Partial Derivatives

Find the equation of the tangent plane to the given surface at the specified point.\ Select the correct Answer $Find the equation of the tangent plane to the given surface at the specified point.\ Select the correct Answer A) B) C) D) E)$

Find and classify the relative extrema and saddle points of the function for and

Let Find Select the correct Answer

Find the equation of the normal line to the given surface at the specified point.

Find the domain and range of the function

Suppose that over a certain region of space the electrical potential V is given by Find the rate of change of the potential at in the direction of the vector Select the correct Answer

At what point is the following function a local maximum?

Find the limit Hint: If and then if and only if Select the correct Answer

Find the domain and range of the function

A boundary stripe 2 in.wide is painted around a rectangle whose dimensions are 100 ft by 240 ft.Use differentials to approximate the number of square feet of paint in the stripe.Select the correct Answer

Find the domain and range of the function

Use the definition of partial derivatives as limits to find if Select the correct Answer

Find the dimensions of a rectangular box of maximum volume such that the sum of the lengths of its 12 edges is

Find the limit

Find the indicated partial derivative.

How many artial derivatives does a function of two variables have?

Determine the largest set on which the function is continuous.

Find the shortest distance from the point to the plane Select the correct Answer

Find the absolute minimum value of the function on the set D.D is the region bounded by the parabola and the line Select the correct Answer

Use implicit differentiation to find