Tempera painting includes the following:

Renaissance diptych and triptych altarpieces were designed to: 

Evaluate limx,y→0,0×2-y2x2+y2{“version”:”1.1″,”math”:”limx,y→0,0×2-y2x2+y2″}

Which of the following vector fields is not conservative?

If f(x,y,z)=x2tan-1(xz)+ln(x+yz){“version”:”1.1″,”math”:”f(x,y,z)=x2tan-1(xz)+ln(x+yz)”}, find fxxy{“version”:”1.1″,”math”:”fxxy”}

Which of the following vectors are orthogonal to 2, 1, 1{“version”:”1.1″,”math”:”2, 1, 1″}? u=-2, -1, -1{“version”:”1.1″,”math”:”u=-2, -1, -1″}, v=0, 0, 0{“version”:”1.1″,”math”:”v=0, 0, 0″}, w=1, -2, 0{“version”:”1.1″,”math”:”w=1, -2, 0″}, x=1, -1, -1{“version”:”1.1″,”math”:”x=1, -1, -1″}

Set up a triple integral representing the volume of the solid bounded by 2x+y+3z=12, x=0, y=0, z=0 {“version”:”1.1″,”math”:”2x+y+3z=12, x=0, y=0, z=0 ”} and y=6{“version”:”1.1″,”math”:”y=6″}.  Do not evaluate it.

If u=1,1,3{“version”:”1.1″,”math”:”u=1,1,3″} and v=3,0,4{“version”:”1.1″,”math”:”v=3,0,4″}, find projvu{“version”:”1.1″,”math”:”projvu”}.

Find the cross product of 2i +3j-k{“version”:”1.1″,”math”:”2i +3j-k”} and 3i+j+5k{“version”:”1.1″,”math”:”3i+j+5k”}

A rock is launched from level ground on Earth with initial speed of 50 feet per second at an angle of elevation of 30°{“version”:”1.1″,”math”:”30°”}.  Calculate the rock’s speed when it hits the ground. g=32 ft/sec2{“version”:”1.1″,”math”:”g=32 ft/sec2″}