1. f(x, y) = x2 + y² –1 2. f(x,y)= 3. f(x, y)= Vx+ y² +4 5. f(x, y)= In(xy) 7. f(x, y,z)= sin(xyz) 4. f(x,y)=xe 6. f(x,y)= 2x +5y 8. f(x,y,2)=x²eyz 9. f(x, y,2)=x +y² +z² 10. f(x, y,2) = Vr? + y² + z²

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter2: Functions And Graphs
Section2.6: Proportion And Variation
Problem 17E: Find the constant of proportionality. y is directly proportional to x. If x=30, then y=15.
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For Exercises 1-10, compute the gradient Vf.
1. f(x, y) = x2 + y -1
1
2. f(x,y) =
x² + y2
3. f(x, y) = Vx + y? +4
4. f(x,y)=xe
5. f(x,y)= In(xy)
6. f(x, y) = 2x +5y
7. f(x,y,z)= sin(xyz)
8. f(x,y,z) =x2eyz
9. f(x, y,2) =x2 + y? +z?
10. f(x, y,z) = Vx² + y² + z²
Transcribed Image Text:For Exercises 1-10, compute the gradient Vf. 1. f(x, y) = x2 + y -1 1 2. f(x,y) = x² + y2 3. f(x, y) = Vx + y? +4 4. f(x,y)=xe 5. f(x,y)= In(xy) 6. f(x, y) = 2x +5y 7. f(x,y,z)= sin(xyz) 8. f(x,y,z) =x2eyz 9. f(x, y,2) =x2 + y? +z? 10. f(x, y,z) = Vx² + y² + z²
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