Compute the flux of F⃗ =xi⃗ +yj⃗ +zk⃗ through the curved surface of the cylinder x2+y2=16 bounded below by the plane x+y+z=1, above by the plane x+y+z=7, and oriented away from the z-axis.

In the past, professional baseball was played at the astrodome in houston, texas. the astrodome has a maximum height of 63.4 m. the height of a baseball t seconds after it is hit straight up in the air with a velocity of 45 ft/s is given by h = -9.8t2 + 45t + 1. will a baseball hit straight up with this velocity hit the roof of the astrodome? use the discriminant to explain your answer.

Jackie purchased 3 bottles of water and 2 cups of coffee for the family for $7.35. ryan bought 4 bottles of water and 1 cup of coffee for his family for 7.15. how much does each bottle of water cost? how much does each cup of coffee cost?

What values of x satisfy the inequality x^2-9x< 0? how is your answer shown on the graph?