Aparticle moves along the curve below. y = sqrt(1 + x^3) as it reaches the point (2, 3), the y-coordinate is increasing at a rate of 14 cm/s. how fast is the x-coordinate of the point changing at that instant?

Three charge are arranged as shown in the diagram. the magnitude of the net electrical force acting on the +6 uc charge, rounded to the tenths place, is .

The diagram shows a series of volcanic island and a hot spot determine the direction of movement of the tectonic plate that for the island

Ahot-air balloon takes off from the ground traveling vertically with a constant upward acceleration of magnitude g/4. after time interval δt, a crew member releases a ballast sandbag from the basket attached to the balloon. how many seconds does it take the sandbag to reach the ground? (express your answer in terms of δt)