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Find the directions in which the function increases and decreases most rapidly at Po. Then find the derivatives of the function in these directions. f(x,y,z) = (x/y) - yz, Po(-3,1, - 1)Solve by the substitution method. 9x + 4y = - 15 x = 15 - 6y Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. The solution set of the system is (Simplify your answer. Type an ordered pair.) O B. There are infinitely many solutions. O C. The solution set is the empty set.Find T, N, and * for the space curve, where t> 0. r(t) = (7 cost+ 7t sin t)i + (7 sin t- 7t cost)j + 2k T = ( cost ) i+ (sint)j (Type exact answers, using radicals as needed.) N = ( - sint )i+ (cost )j (Type exact answers, using radicals as needed.) KE (Type an exact answer, using radicals as needed.)To find the extreme values of a function f(x,y) on a curve x = x(t), y = y(t), treat f as a function of the single variable t and use the chain rule to find where df/dt is zero. As in any other single-variable case, the extreme values of f are then found among the values at the critical points (points where df/dt is zero or fails to exist), and endpoints of the parameter domain. Find the absolute maximum and minimum values of the following function on the given curves. Use the parametric equations x = 2 cost, y = 2 sin t. Functions Curves: a. f(x,y) = x+y i) The semicircle x2 + yz = 4, y 2 0 b. g(x,y) = xy ii) The quarter circle x2 + y2 = 4, x20, y20 c. h(x,y) = 2x2+y2 a. On the semicircle, the absolute maximum is f= ]att=]. (Type exact answers, using * as needed. Use a comma to separate answers as needed.)