advanced calculus

MAT 319 - C.A.T 1 (1) Determine if the function a m IT is increasing or decreasing at the point (2, 5), hence find its gradient on the xy-plane (4 marks) A. Decreasing, gradient - B. Increasing, gradient C. Decreasing, gradient D. Decreasing, gradient (ii) Determine the convergence of the integral for zeta dr (4 marks) A. Divergent B. Convergent to C. Convergent to D. Convergent to Let y = f(x) be a function defined implicitly by y' - y + r =0. At the point where /(6) = -2, (i) Evaluate (4 marks) B. - 107 C. TOF D. - 1 (4 marks) (ii) Find the equation of the tangent line. AV = - 167 (x - 6) B. V = 107 (x - 6) C. V = - H (x + 16) D. V = H (x - 16)