Application of Derivatives
Find the equation of tangents to the curve y=cos(x+y),−2π≤x≤2πthat are parallel to the line x+2y=0.
Show that the right circular cylinder of given surface and maximum volume is such that its height is equal to the diameter of the base.
An Apache helicopter of enemy is flying along the curve given by y=x2+7. A soldier, placed at (3, 7), wants to shoot down the helicopter when it is nearest to him. Find the nearest distance.