Problem 4. Evaluate I = f f 4x dS where S is the region enclosed by the triangle with vertices (6, 0, 0), (0, 5, 0), and (0, 0, 30).

2. Given the function f(x,y)=x²+2y² +5sin(2x+3y): Set both x and y intervals as [-4, 4] and 100 gridlines • Format axes: x [-5, 5], y [-5, 5], 2 [-5, 18], 2 clip -5 to 18 Set the Focus Point to (0, 0, 9). Make colors and transparency to your liking Remember to hit "enter" after changing the settings

QUESTION 3. Maximize 2x + 3y+ 5z on the sphere x+y +z=19.

16. Evaluate (x + VT) ds where C consists of two segments: the part of the parabola y = x² from (0,0) to (1, 1) and the straight line segment from (1,1) to (0,0).