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″}

Let F(x,y,z)=x2,-z,yz{“version”:”1.1″,”math”:”F(x,y,z)=x2,-z,yz”} and let C be the line segment from (0,0,0) to (3,2,1).  Evaluate ∫CF·dr{“version”:”1.1″,”math”:”∫CF·dr”}.

Set up a triple integral representing the flux of  F(x,y,z)=y,0,z{“version”:”1.1″,”math”:”F(x,y,z)=y,0,z”}through the part of x+3y+z=6{“version”:”1.1″,”math”:”x+3y+z=6″} in the first octant, oriented up/right/forward.  Do not evaluate it.

Which of the following is Apple’s Web browser?

Which of the following represents the outward flux of F(x,y,z)=x+sin(yz),y-cos(xz),z2{“version”:”1.1″,”math”:”F(x,y,z)=x+sin(yz),y-cos(xz),z2″} across S, the surface(s) of the solid bounded x=y2+z2{“version”:”1.1″,”math”:”x=y2+z2″} and x=9{“version”:”1.1″,”math”:”x=9″}?

Evaluate limx,y→0,0×3-y3x2+y2{“version”:”1.1″,”math”:”limx,y→0,0×3-y3x2+y2″}

The vector field F(x,y)=2x+3ye3x,e3x-1{“version”:”1.1″,”math”:”F(x,y)=2x+3ye3x,e3x-1″} is conservative.  Which of the following is a potential function for F?

  Which of the following provides some context help for programming languages and some features such as line numbers and troubleshooting help, but not tools for managing an entire Web site?

The radius of a right circular cylinder decreases at a rate of 2.1 cm/sec, while its height increases at a rate of 1.7 cm/sec.  At what rate is the volume changing when the radius is 12 cm and the height is 10 cm?