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- Determine the equation of the normal line at the given x-value. 1) g(x) = sinx , x = 3? 4 2) f(x) = 3x3 − 2x + 5 , x = −2Find an equation of the tangent plane and symmetric equations of the normal line to thesurface zx2 − xy2 − yz2 = 18 at the point (0, −2, 3)Find the normal line to f(x)=ax^2-3ax at x=2. Assume that a is a positive constant.
- Find parametric equations for a normal line to the level curve of the function f (x, y) = −3x(x − 2) − y(y −1) at the point P(3,3).What is the value of the beta function, B(x, y), where x and y are positive real numbers?10) Use Lagrange multiplier to find the indicated extrema, assuming that x and y are positive.