Given the vector field: F(x, y, z) =< y^2, x^2, z^2 >, and the solid bounded by the given surfaces z = x^2 + y^2 and z = 4, a) use the Divergence Theorem to find the total flux of F out of the solid. b) Use a surface integral to find the flux up through the top of the solid. c) Use your results to find the flux down through the bottom of the solid.

Trent wants to buy 2 packs of trading cards for 3 dollars each. the trading card packs that trent normally buys tend to come in packs of 6, 10, 12, or 15 cards. after selecting 2 packs, trent found that the first pack of cards cost 25 cents per card, and the second pack cost 30 cents per card. trent uses this information to write the equations below in order to compare c, the number of cards in each pack.

Need an artist designed a badge for a school club. figure abcd on the coordinate grid below shows the shape of the badge: the badge is enlarged and plotted on the coordinate grid as figure jklm with point j located at (2, -2) and point m is located at (5, 4). which of these could be the coordinates for point l? a. (2, 4) b. (8, 4) c. (5, 1) d. (5, 7)

A. what does the point (4, 122) represent? b. what is the unit rate? c. what is the cost of buying 10 tickets?