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1. df = e/dx + (e/ — 1½) dw X 1 ew w)dw W 2. df = 3x² dx - ez dy - 4yez dz 3. dg = (3y² +3z²y-²) dy-6z dz y

1. df = e/dx + (e/ — 1½) dw X 1 ew w)dw W 2. df = 3x² dx - ez dy - 4yez dz 3. dg = (3y² +3z²y-²) dy-6z dz y

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Please show the work for problems 1-4.  Thanks!

Answers to the exercises on the Differentials Handout: 1. df = e/*dx + (e/w- e) dw X W 2. df = 3x²dx-e4zdy - 4yez dz 3. dg = (3y² +3z²y-²) dy-6z dz 4. dh=(-sx-² +3s¯¹)dx + (2t¹ - 4tz¯2)dz + (x¯¹ − 3xs¯²)ds +(4z¯¹ −2zt¯²)dt - 5. a) 10 m. b) 1.52 m. Math 208
Transcribed Image Text:Answers to the exercises on the Differentials Handout: 1. df = e/*dx + (e/w- e) dw X W 2. df = 3x²dx-e4zdy - 4yez dz 3. dg = (3y² +3z²y-²) dy-6z dz 4. dh=(-sx-² +3s¯¹)dx + (2t¹ - 4tz¯2)dz + (x¯¹ − 3xs¯²)ds +(4z¯¹ −2zt¯²)dt - 5. a) 10 m. b) 1.52 m. Math 208
tuobash zleitmons In exercises 1-4 below, find the total differential of the given function. 1.0 f(x, w) = we ¾/~ W 2. f(x, y, z) = x² - ye4z 3. 4. 5. g(y,z)= y³-32² Math 208 Exercises on total differentials blan Imonog orit ton nobonut s ai 25g al $20 +5) iniog alli +5 101 10 -1 925 34 y insbrogabai orito lle sove h(x,z,s,t)=sx¹ +2zt¹+3xs¯¹ +4tz-¹. r 10 1 A right triangle is located on terrain where you can measure the hypotenuse you are also interested in the length of the other leg. Your measurement of th and of the leg is 24 m. a) What is your estimate for the length of the other leg? Intot at. (
Transcribed Image Text:tuobash zleitmons In exercises 1-4 below, find the total differential of the given function. 1.0 f(x, w) = we ¾/~ W 2. f(x, y, z) = x² - ye4z 3. 4. 5. g(y,z)= y³-32² Math 208 Exercises on total differentials blan Imonog orit ton nobonut s ai 25g al $20 +5) iniog alli +5 101 10 -1 925 34 y insbrogabai orito lle sove h(x,z,s,t)=sx¹ +2zt¹+3xs¯¹ +4tz-¹. r 10 1 A right triangle is located on terrain where you can measure the hypotenuse you are also interested in the length of the other leg. Your measurement of th and of the leg is 24 m. a) What is your estimate for the length of the other leg? Intot at. (
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