Choose the best coordinate system and find the volume of the solid region bounded by the cylinder requals6, for 0less than or equalszless than or equalsxplusy. the surface is specified using the coordinates that give the simplest description, but the simplest integration may be with respect to different variables. which coordinate system would be best for finding the specified volume?

Aparticle's position is given by x = 3.00 - 9.00t + 3t2, in which x is in meters and t is in seconds. (a) what is its velocity at t = 1 s? (b) is it moving in the positive or negative direction of x just then? (c) what is its speed just then? (d) is the speed increasing or decreasing just then? (try answering the next two questions without further calculation.) (e) is there ever an instant when the velocity is zero? if so, give the time t; if not, answer "0". (f) is there a time after t = 3 s when the particle is moving in the negative direction of x? if so, give the time t; if not, answer "0".

Acar starts from rest at a stop sign and reaches a velocity of 25 m/s w in 4 seconds. determine the acceleration of the car. question 3 options: a) 6,25 m/s2 b)6.25 m/s c)100 m/s2 d)100 m/s

Aplane's average speed between two cities is 600 km/h. if the trip takes 2.5 hours, how far does the plane fly?