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whiteseal684Lv1
2 Sep 2022
f(x, y, z) = x^3 - xy^2,- z. Compute the gradient vector for f at the point (1, 1, 2) i.e. f(1, 1, 2). yz - xz^2 + x^2 + x^2 + y^2 = 4 defines z, implicitly, as a function of x and y. Us appropriate theorem to compute partial differential z/partial differential x. f(x, y) = x^3 + y^3. Determine the equation of the tangent plane at the point (1, 2, 9) on the surface which is the graph of f in R^3. Compute D f(1, 2), the directional derivative of f, in the direction What is the maximum rate of change of f at the point (1, 2)? In what direction is this maximum attained? f(x, y) = x^2/y. Write down a formula for the total differential. df, of f. Use the method of the differential to estimate f(2.05, 1.90), where f(x, y) = x^2/y.
f(x, y, z) = x^3 - xy^2,- z. Compute the gradient vector for f at the point (1, 1, 2) i.e. f(1, 1, 2). yz - xz^2 + x^2 + x^2 + y^2 = 4 defines z, implicitly, as a function of x and y. Us appropriate theorem to compute partial differential z/partial differential x. f(x, y) = x^3 + y^3. Determine the equation of the tangent plane at the point (1, 2, 9) on the surface which is the graph of f in R^3. Compute D f(1, 2), the directional derivative of f, in the direction What is the maximum rate of change of f at the point (1, 2)? In what direction is this maximum attained? f(x, y) = x^2/y. Write down a formula for the total differential. df, of f. Use the method of the differential to estimate f(2.05, 1.90), where f(x, y) = x^2/y.
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