Mathematics, 21.03.2020 02:52 ashton100426owz1ly
For each function f(x, y,z) , determine whether its gradient points radially outward from the origin, radially inward toward the origin, radially outward from the z-axis, or radially inward toward the z-axis.
1. f(x, y,z) = x^2 + y^2
a. Points radially outward from the origin b. Points radially inward toward the origin c. Points radially outward from the z-axis d. Points radially inward toward the z-axis
2. \displaystyle f(x, y,z) = \frac{1}{x^2 + y^2 + z^2}
a. Points radially outward from the origin b. Points radially inward toward the origin c. Points radially outward from the z-axis d. Points radially inward toward the z-axis
3. \displaystyle f(x, y,z) = \frac{1}{x^2 + y^2}
a. Points radially outward from the origin b. Points radially inward toward the origin c. Points radially outward from the z-axis d. Points radially inward toward the z-axis
4. f(x, y,z) = x^2 + y^2 + z^2
a. Points radially outward from the origin b. Points radially inward toward the origin c. Points radially outward from the z-axis d. Points radially inward toward the z-axis
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For each function f(x, y,z) , determine whether its gradient points radially outward from the origin...
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