Consider the following. Z = =DVx²+ y?, 5x - 2y + 3z = 22, (3, 4, 5) (a) Find symmetric equations of the tangent line to the curve of intersection of the surfaces at the given point. OX = Y = Z 3 4 17 Ox-3 = y + 4 = z+ 17 O X-3 y-4 z- 17 3 4 17 O X-1-y–1 _ z - 1 -4 -17 Ox - 3 = Y- 4 z-5 -17 -13 (b) Find the cosine of the angle between the gradient vectors at this point. Cos e = State whether or not the surfaces are orthogonal at the point of intersection. O Yes, they are orthogonal. O No, they are not orthogonal.

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Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.