At what angle with the direction of motion of the ship must the gun be pointed in order to hit the target?

Submitted by Jade Nopre Mijares on

paano po sagutan to?

A ship is traveling at a speed of 20 knots. (A knot is a nautical mile per hour, a nautical mile being approximately 1.1516 statute mile of 5280 feet each.) When directly opposite a target it fires a gun whose projectile has a velocity of 2000 feet a second. At what angle with the direction of motion of the ship must the gun be pointed in order to hit the target?

Algebra

Submitted by Benjie Magallano on

A 1,260-galloon tank is filled by two pipes in as many as the smaller pipe brings in galloons per minute. How long will it take each pipe to fill the tank if the larger pipe brings in one galloon per minute more than the smaller pipe?

differential equation: Show that if f and f' are continuous on a ≤ x ≤ b then f and f' are linearly independent on a ≤ x ≤ b

Submitted by Dutsky Kamdon on

Show that if f and f' are continuous on a ≤ x ≤ b and f(x) is not zero for all x on a ≤ x ≤ b,
then f and xf are linearly independent on a ≤ x ≤ b.