Problem 1E: In Exercises 1–4, find the specific function values.
1. f(x, y) = x2 + xy3
f(0, 0)
f(−1, 1)
f(2,... Problem 2E: In Exercises 1–4, find the specific function values.
2. f(x, y) = sin (xy)
Problem 3E: In Exercises 1–4, find the specific function values.
3.
f(3, −1, 2)
f(2, 2, 100)
Problem 4E: In Exercises 1–4, find the specific function values.
4.
f(0, 0, 0)
f(2, −3, 6)
f(−1, 2, 3)
Problem 5E: In Exercises 5–12, find and sketch the domain for each function.
5.
Problem 6E: In Exercises 5–12, find and sketch the domain for each function.
6. f(x, y) = ln(x2 + y2 − 4)
Problem 7E: In Exercises 5–12, find and sketch the domain for each function.
7.
Problem 8E: In Exercises 5–12, find and sketch the domain for each function.
8.
Problem 9E: In Exercises 5–12, find and sketch the domain for each function.
9. f(x, y) = cos−1 (y − x2)
Problem 10E: In Exercises 5–12, find and sketch the domain for each function.
10. f(x, y) = ln(xy + x − y − 1)
Problem 11E: In Exercises 5–12, find and sketch the domain for each function.
11.
Problem 12E: In Exercises 5–12, find and sketch the domain for each function.
12.
Problem 13E: In Exercises 13–16, find and sketch the level curves f(x, y) = c on the same set of coordinate axes... Problem 14E: In Exercises 13–16, find and sketch the level curves f(x, y) = c on the same set of coordinate axes... Problem 15E: In Exercises 13–16, find and sketch the level curves f(x, y) = c on the same set of coordinate axes... Problem 16E: In Exercises 13–16, find and sketch the level curves f(x, y) = c on the same set of coordinate axes... Problem 17E: In Exercises 17-30, (a) find the function’s domain, (b) find the function’s range, (c) describe the... Problem 18E: In Exercises 17-30, (a) find the function’s domain, (b) find the function’s range, (c) describe the... Problem 19E: In Exercises 17-30, (a) find the function’s domain, (b) find the function’s range, (c) describe the... Problem 20E: In Exercises 17-30, (a) find the function’s domain, (b) find the function’s range, (c) describe the... Problem 21E: In Exercises 17-30, (a) find the function’s domain, (b) find the function’s range, (c) describe the... Problem 22E: In Exercises 17-30, (a) find the function’s domain, (b) find the function’s range, (c) describe the... Problem 23E: In Exercises 17-30, (a) find the function’s domain, (b) find the function’s range, (c) describe the... Problem 24E: In Exercises 17-30, (a) find the function’s domain, (b) find the function’s range, (c) describe the... Problem 25E: In Exercises 17-30, (a) find the function’s domain, (b) find the function’s range, (c) describe the... Problem 26E: In Exercises 17-30, (a) find the function’s domain, (b) find the function’s range, (c) describe the... Problem 27E: In Exercises 17-30, (a) find the function’s domain, (b) find the function’s range, (c) describe the... Problem 28E: In Exercises 17-30, (a) find the function’s domain, (b) find the function’s range, (c) describe the... Problem 29E: In Exercises 17–30, (a) find the function’s domain, (b) find the function’s range, (c) describe the... Problem 30E: In Exercises 17–30, (a) find the function’s domain, (b) find the function’s range, (c) describe the... Problem 31E: Exercises 31–36 show level curves for six functions. The graphs of these functions are given on the... Problem 32E: Exercises 31–36 show level curves for six functions. The graphs of these functions are given on the... Problem 33E: Exercises 31–36 show level curves for six functions. The graphs of these functions are given on the... Problem 34E: Exercises 31–36 show level curves for six functions. The graphs of these functions are given on the... Problem 35E: Exercises 31–36 show level curves for six functions. The graphs of these functions are given on the... Problem 36E: Exercises 31–36 show level curves for six functions. The graphs of these functions are given on the... Problem 37E: Display the values of the functions in Exercises 37–48 in two ways: (a) by sketching the surface z =... Problem 38E: Display the values of the functions in Exercises 37–48 in two ways: (a) by sketching the surface z =... Problem 39E: Display the values of the functions in Exercises 37–48 in two ways: (a) by sketching the surface z =... Problem 40E: Display the values of the functions in Exercises 37–48 in two ways: (a) by sketching the surface z =... Problem 41E: Display the values of the functions in Exercises 37–48 in two ways: (a) by sketching the surface z =... Problem 42E Problem 43E: Display the values of the functions in Exercises 37–48 in two ways: (a) by sketching the surface z =... Problem 44E Problem 45E: Display the values of the functions in Exercises 37–48 in two ways: (a) by sketching the surface z =... Problem 46E: Display the values of the functions in Exercises 37–48 in two ways: (a) by sketching the surface z =... Problem 47E Problem 48E Problem 49E: In Exercises 49–52, find an equation for, and sketch the graph of, the level curve of the function... Problem 50E: In Exercises 49–52, find an equation for, and sketch the graph of, the level curve of the function... Problem 51E: In Exercises 49–52, find an equation for, and sketch the graph of, the level curve of the function... Problem 52E: In Exercises 49–52, find an equation for, and sketch the graph of, the level curve of the function... Problem 53E: In Exercises 53–60, sketch a typical level surface for the function.
53. f(x, y, z) = x2 + y2 + z2
Problem 54E: In Exercises 53–60, sketch a typical level surface for the function.
54. f(x, y, z) = ln (x2 + y2 +... Problem 55E: In Exercises 53–60, sketch a typical level surface for the function.
55.
Problem 56E: In Exercises 53–60, sketch a typical level surface for the function.
56.
Problem 57E: In Exercises 53–60, sketch a typical level surface for the function.
57.
Problem 58E: In Exercises 53–60, sketch a typical level surface for the function.
58.
Problem 59E: In Exercises 53–60, sketch a typical level surface for the function.
59.
Problem 60E: In Exercises 53–60, sketch a typical level surface for the function.
60.
Problem 61E: In Exercises 61–64, find an equation for the level surface of the function through the given... Problem 62E: In Exercises 61–64, find an equation for the level surface of the function through the given... Problem 63E: In Exercises 61–64, find an equation for the level surface of the function through the given... Problem 64E: In Exercises 61–64, find an equation for the level surface of the function through the given... Problem 65E: In Exercises 65–68, find and sketch the domain of f. Then find an equation for the level curve or... Problem 66E: In Exercises 65–68, find and sketch the domain of f. Then find an equation for the level curve or... Problem 67E Problem 68E: In Exercises 65–68, find and sketch the domain of f. Then find an equation for the level curve or... format_list_bulleted