Explanation Given: The provided planes are: (a) z 1 = 2 + x (b) z 2 = 5 (c) z 3 = 10 − 5 x + 9 y (d) z 4 = 3 + x − 2 y The result of exercise 14 states that the area of a rectangular region in xy -plane is given as, A = sec θ Δ x Δ y Explanation: It can be seen that area is directly proportional to the angle between the provided plane and the xy -plane according to the result of exercise 14, i.e., A = sec θ Δ x Δ y ,. Hence, the greater the surface area the greater the the angle between the provided plane and the xy -plane

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Author: Larson

Publisher: CENGAGE C

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Chapter 14, Problem 15PS

To determine

The order of planes in ascending order of their surface area by using the result of exercise 14 without doing any calculations. The planes are given below:

(a) z1=2+x

(b) z2=5

(c) z3=10−5x+9y

(d) z4=3+x−2y

Expert Solution & Answer

Chapter 14 Solutions

CALCULUS LL UPGRADE CUSTOM

Ch. 14.1 - CONCEPT CHECK Iterated Integral Explain what is...Ch. 14.1 - Prob. 2E Ch. 14.1 - Question: Evaluate the integral: 0x(2xy)dy Ch. 14.1 - Evaluating an IntegralIn Exercises 310, evaluate...Ch. 14.1 - Evaluating an IntegralIn Exercises 310, evaluate...Ch. 14.1 - Evaluating an IntegralIn Exercises 310, evaluate...Ch. 14.1 - Evaluating an Integral In Exercises 3-10, evaluate...Ch. 14.1 - Evaluating an IntegralIn Exercises 310, evaluate...Ch. 14.1 - Evaluating an Integral In Exercises 3-10, evaluate...Ch. 14.1 - Evaluating an Integral In Exercises 3-10, evaluate...

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The order of planes in ascending order of their surface area by using the result of exercise 14 without doing any calculations. The planes are given below: (a) z 1 = 2 + x (b) z 2 = 5 (c) z 3 = 10 − 5 x + 9 y (d) z 4 = 3 + x − 2 y

Solution Summary: The author explains the ascending order of planes according to their surface area by using the result of exercise 14 without doing any calculations.

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The order of planes in ascending order of their surface area by using the result of exercise 14 without doing any calculations. The planes are given below:

(a) z1=2+x

(b) z2=5

(c) z3=10−5x+9y

(d) z4=3+x−2y

Chapter 14 Solutions

The order of planes in ascending order of their surface area by using the result of exercise 14 without doing any calculations. The planes are given below: (a) z 1 = 2 + x (b) z 2 = 5 (c) z 3 = 10 − 5 x + 9 y (d) z 4 = 3 + x − 2 y

Solution Summary: The author explains the ascending order of planes according to their surface area by using the result of exercise 14 without doing any calculations.

Videos

The order of planes in ascending order of their surface area by using the result of exercise 14 without doing any calculations. The planes are given below: (a) z1=2+x (b) z2=5 (c) z3=10−5x+9y (d) z4=3+x−2y

Chapter 14 Solutions

The order of planes in ascending order of their surface area by using the result of exercise 14 without doing any calculations. The planes are given below:

(a) z1=2+x

(b) z2=5

(c) z3=10−5x+9y

(d) z4=3+x−2y