Suppose that a function f(x, y, z) is differentiated the point (0, -1, -2) and L(x, y, z) = x + 2y is the local linear approximation to f Find f(0, -1, -2), fx(0, -1, -2) fy(0, -1, -2) fz(0, -1, -2). A function f is given along with a local linear approximation L to f at a point P. Use the information given by determine point P. f(x, y) = x2 + y2; L(x, y) = 2y - 2x - 2 f(x, y) = x2y; L(x, y) = 4y - 4x + 8 f(x, y, z) = xy + z2; L(x, y, z) = y + 2x - 1 f(x, y, z) = xyz; L(x, y, z) = x - y - z - 2 The length and width of a rectangle are measured with of at most 3% and 5%, respectively. Use differentials to approximate the maximum percentage error in the calculated area.
Show transcribed image text Suppose that a function f(x, y, z) is differentiated the point (0, -1, -2) and L(x, y, z) = x + 2y is the local linear approximation to f Find f(0, -1, -2), fx(0, -1, -2) fy(0, -1, -2) fz(0, -1, -2). A function f is given along with a local linear approximation L to f at a point P. Use the information given by determine point P. f(x, y) = x2 + y2; L(x, y) = 2y - 2x - 2 f(x, y) = x2y; L(x, y) = 4y - 4x + 8 f(x, y, z) = xy + z2; L(x, y, z) = y + 2x - 1 f(x, y, z) = xyz; L(x, y, z) = x - y - z - 2 The length and width of a rectangle are measured with of at most 3% and 5%, respectively. Use differentials to approximate the maximum percentage error in the calculated area.