Explanation Given information: The heat index I is a measure of how hot it feels when the relative humidity is H (as a percentage) and the actual air temperature is T (in degree Fahrenheit). An approximate formula for the heat index that is valid for ( T, H ) near (90, 40) is I ( T , H ) = 45.33 + 0.6845 T + 5.758 H − 0.00365 T 2 − 0.1565 H T + 0.001 H T 2 Calculation: Consider I ( T , H ) = 45.33 + 0.6845 T + 5.758 H − 0.00365 T 2 − 0.1565 H T + 0.001 H T 2 We have to calculate I at ( T , H ) = ( 95 , 50 ) So we substitute ( T , H ) = ( 95 , 50 ) in given equation, I ( 95 , 50 ) = 45 To determine (b) Tofind: The partial derivative tells us the increase in I per degree increase in Twhen ( T , H ) = ( 95 , 50 ) . Calculate this partial derivative.

Loose-leaf Version For Calculus: Early Transcendentals

4th Edition

ISBN: 9781319055912

Author: Jon Rogawski, Colin Adams, Robert Franzosa

Publisher: W. H. Freeman

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Chapter 14.3, Problem 47E

To determine

(a)

Tocalculate:I at (T,H)=(95,50).

To determine

(b)

Tofind:

The partial derivative tells us the increase in I per degree increase in Twhen (T,H)=(95,50). Calculate this partial derivative.

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Chapter 14.3, Problem 46E

Chapter 14.3, Problem 48E

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Chapter 14 Solutions

Loose-leaf Version For Calculus: Early Transcendentals

Ch. 14.1 - Prob. 1PQ Ch. 14.1 - Prob. 2PQ Ch. 14.1 - Prob. 3PQ Ch. 14.1 - Prob. 4PQ Ch. 14.1 - Prob. 5PQ Ch. 14.1 - Prob. 1E Ch. 14.1 - Prob. 2E Ch. 14.1 - Prob. 3E Ch. 14.1 - Prob. 4E Ch. 14.1 - Prob. 5E

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(a) Tocalculate: I at ( T , H ) = ( 95 , 50 ) .

Solution Summary: The author explains that the heat index I is a measure of how hot it feels when the relative humidity is H and the actual air temperature is T.

Concept explainers

Videos

(a)

Tocalculate:I at (T,H)=(95,50).

(b)

Tofind:

The partial derivative tells us the increase in I per degree increase in Twhen (T,H)=(95,50). Calculate this partial derivative.

Want to see the full answer?

Chapter 14 Solutions

(a) Tocalculate: I at ( T , H ) = ( 95 , 50 ) .

Solution Summary: The author explains that the heat index I is a measure of how hot it feels when the relative humidity is H and the actual air temperature is T.

Concept explainers

Videos

(a) Tocalculate:I at (T,H)=(95,50).

(b) Tofind: The partial derivative tells us the increase in I per degree increase in Twhen (T,H)=(95,50). Calculate this partial derivative.

Want to see the full answer?

Chapter 14 Solutions

(a)

Tocalculate:I at (T,H)=(95,50).

(b)

Tofind:

The partial derivative tells us the increase in I per degree increase in Twhen (T,H)=(95,50). Calculate this partial derivative.