Question 1

Find an equation of the tangent plane to the given surface at the specified point.

Accepted Answer

The answer of Find an equation of the tangent plane...

Question 2

Find the limit.

Accepted Answer

The answer of Find the limit. ...

Question 3

Use Lagrange multipliers to find the minimum value of the function subject to the given constraints.

Accepted Answer

The answer of Use Lagrange multipliers to find the minimum...

Question 4

Use Lagrange multipliers to find the maximum and the minimum of f subject to the given constraint(s).

Accepted Answer

The answer of Use Lagrange multipliers to find the maximum...

Question 5

Find

Accepted Answer

The answer of Find ...

Question 6

The  (or humidex, for short) is the perceived air temperature when the actual temperature is T and the relative humidity is h, so we can write  The following table of values of I is an excerpt from a table compiled by the National Oceanic and Atmospheric Administration.For what value of T is

Accepted Answer

The answer of The  (or humidex, for short) is...

Question 7

Find the linearization L(x, y) of the function at the given point.  Round theAnswers to the nearest hundredth.

Accepted Answer

The answer of Find the linearization L(x, y) of the...

Question 8

Find the differential of the function.

Accepted Answer

The answer of Find the differential of the function. ...

Question 9

Use the Chain Rule to find

Accepted Answer

The answer of Use the Chain Rule to find ...

Question 10

Find  for the function

Accepted Answer

The answer of Find  for the function ...

Question 11

Determine the largest set on which the function is continuous.

Accepted Answer

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

Question 12

Find the first partial derivatives of the function.

Accepted Answer

The answer of Find the first partial derivatives of the...

Question 13

Use polar coordinates to find the limit.

Accepted Answer

The answer of Use polar coordinates to find the limit....

Question 14

Accepted Answer

The answer of ...

Question 15

The wind-chill index I is the perceived temperature when the actual temperature is T and the wind speed is v so we can write  The following table of values is an excerpt from a table compiled by the National Atmospheric and Oceanic Administration.Use the table to find a linear approximation  to the wind chill index function when T is near  and v is near 30 kmh.

Accepted Answer

The answer of The wind-chill index I is the perceived...

Question 16

Use the linearization L(x, y) of the function.

Accepted Answer

The answer of Use the linearization L(x, y) of the...

Question 17

Find

Accepted Answer

The answer of Find ...

Question 18

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 19

Use Lagrange multipliers to find the maximum value of the function subject to the given constraints.

Accepted Answer

The answer of Use Lagrange multipliers to find the maximum...

Question 20

Find three positive numbers whose sum is  and whose product is a maximum.

Accepted Answer

The answer of Find three positive numbers whose sum is...

Quiz 14: Partial Derivatives

Find an equation of the tangent plane to the given surface at the specified point.

Find the limit.

Use Lagrange multipliers to find the minimum value of the function subject to the given constraints.

Use Lagrange multipliers to find the maximum and the minimum of f subject to the given constraint(s).

Find

The (or humidex, for short) is the perceived air temperature when the actual temperature is T and the relative humidity is h, so we can write The following table of values of I is an excerpt from a table compiled by the National Oceanic and Atmospheric Administration.For what value of T is

Find the linearization L(x, y) of the function at the given point. Round theAnswers to the nearest hundredth.

Find the differential of the function.

Use the Chain Rule to find

Find for the function

Determine the largest set on which the function is continuous.

Find the first partial derivatives of the function.

Use polar coordinates to find the limit.

Use the linearization L(x, y) of the function.

Find

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

Use Lagrange multipliers to find the maximum value of the function subject to the given constraints.

Find three positive numbers whose sum is and whose product is a maximum.