Question 4 Solve the problem. Evaluate dt at t = 9 for the function w = ey - In x; x = t2, y = In t. O O _ 0 7 O None of the other choices OQuestion 9 Find the derivative of the function at Po in the direction of u. f(x, y) = -10x - 2y, Po(9, -6), u = 4i - 3j O 46 5 O - 10 O 34 5 O None of the other choices 0 - 6Question 8 Find the linearization of the function at the given point. f (x, y, z) = 3x2 + 592 + 10z2 at (1, -2, 3) O L(x, y. z) = 6x + 20v + 60z + 113 O L(x, y, z) = 6x - 20v + 60z + 113 O None of the other choices O L(x, y, z) = 6x-20y+60z O L(x, y, z) = 6x + 20v + 602 - 113\fQuestion 11 Find all the local maxima, local minima, and saddle points of the function. f(x, y) =2xy+3x-10y 0 1 5 , 2 = 15, local minimum; f - 5. - - = 15, local minimum Of 5 , 7 = 15, saddle point; f - 5, - = 15, saddle point O None of the other choices Of - 5 , 7 = - 45, local maximum Of5,- = 15, saddle pointQuestion 12 Integrate the function f over the given region. f(x, y) = y2 ex over the triangular region in the first quadrant bounded by the lines x = y/2, x = 1, y = 0 O WIN (e - 1) O W/N e 8(e + 1) 3 - (e - 1) O None of the other choicesQuestion 6 Evaluate the double integral over the given region. J JR (7x sin(xy)) dA R: OS X S n, Osys 1 O 71 - 7 O -7n O None of the other choices OQuestion 10 Find the volume of the indicated region. the region bounded by the paraboloid z = x2 + y and the plane z = 25 625 6 O 625 4 625 3 O None of the other choices 625 2Question 5 Change the Cartesian integral to an equivalent polar integral, and then evaluate. 25- x2 dy dx -5 0 2 None of the other choices 125RX 2 O O 125 4 TTQuestion 1 3 pt SLO C. Find the extreme values of the function subject to the given constraint. State the points where they occur, if none occur, say so. Write your answer in the box below f(x, v, z) =x2+ 212+324, x-V-z=1