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In Exercises 1-8, sketch the region where the function f is continuous. 1. f(x, y) = y In(1 + x) 2. f(x, y) = /x - y

In Exercises 1-8, sketch the region where the function f is continuous. 1. f(x, y) = y In(1 + x) 2. f(x, y) = /x - y

Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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for functions of two variables carry over to functions of three variables. function and the Although we will omit the details, the properties of limits and continuity that we d variables to be the function are the same at this point; that is, f(x, y, z) = f(xo, yo, zo) lim (x, y.z)→ (xo,yo.zo) EXERCISE SET 15.2 8. f(x, y) = tan-(y – x) In Exercises 1-8, sketch the region where the function f is continuous. In Exercises 9–12, describe the region on which the f is continuous. 2. f(x, y) = /x - y 1. f(x, y) = y In(1+x) x²y /25 – x² – y2 9. f(x, y, z) = 3x²e² cos(xyz) 10. f(x, y, z) = In(4 – x² – y? – z²) 3. f(x, y) = 4. f(x, y) = In(2x - y+ 1) xy y+1 5. f(x, y) = cos 11. f(x, y, z) = x2 + z? - 1 12. f(x, y, z) = sin /x² + y² + 3z² 1+ x² + y², 6. f(x, y) = e'¬xy 7. f(x, y) = sin'(xy)
Transcribed Image Text:for functions of two variables carry over to functions of three variables. function and the Although we will omit the details, the properties of limits and continuity that we d variables to be the function are the same at this point; that is, f(x, y, z) = f(xo, yo, zo) lim (x, y.z)→ (xo,yo.zo) EXERCISE SET 15.2 8. f(x, y) = tan-(y – x) In Exercises 1-8, sketch the region where the function f is continuous. In Exercises 9–12, describe the region on which the f is continuous. 2. f(x, y) = /x - y 1. f(x, y) = y In(1+x) x²y /25 – x² – y2 9. f(x, y, z) = 3x²e² cos(xyz) 10. f(x, y, z) = In(4 – x² – y? – z²) 3. f(x, y) = 4. f(x, y) = In(2x - y+ 1) xy y+1 5. f(x, y) = cos 11. f(x, y, z) = x2 + z? - 1 12. f(x, y, z) = sin /x² + y² + 3z² 1+ x² + y², 6. f(x, y) = e'¬xy 7. f(x, y) = sin'(xy)
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