Find the area of the shaded region if the dimensions of the unshaded region are 14 ft x 18ft

Is there a direction u in which the rate of change of f(x, y)equals=x squared minus 3 xy plus 4 y squaredx2−3xy+4y2 at p(1,2) equals 14? give reasons for your answer. choose the correct answer below. a. no. the given rate of change is smaller than the minimum rate of change. b. no. the given rate of change is larger than the maximum rate of change. c. yes. the given rate of change is larger than the minimum rate of change and smaller than the maximum rate of change.

Find the volume of the wedge cut from the first octant by the cylinder z=12-3y^2 and the plane x+y=2.

Use the second shift theorem to find the inverse laplace transform of (e^−3s) / (s^2 + 2s − 3)