bleh someone help me =(
1. A 4m long ladder is leaning against a wall. Its base is slipping away from the wall at a constant rate of 2m/s. At what rate, to 2 decimal places, will the top of the ladder by slipping down the wall when the base is 1m out from the wall?
2. An observer sees a plane directly overhead, 2km above the ground. The plane is moving horizontally at a constant speed of 500km/h. Find the rate at which the distance will be increasing between the observer and the plane when the distance between them is 5km.
3. A kite, 20m high, is blown along horizontally at 3m/s by the wind. At what rate is the string being let out when it is 40m long?
4. A spherical bath oil capsule dissolves in the bath so that its decrease in volume is proportional to its surface area. If its shape remains spherical as it dissolves, show that the radius of the capsule will decrease at a constant rate.
5. A chute drops sand at a cosntant rate of 8m cubed per minute. As the sand falls to the ground it forms a cone shape such that the height of the cone is twice its radius. Find the rate at which the height of the sand will be changing, to 2 decimal places, when its height is 2n.
I have a test coming in a week and im still stuck on these questions ='(
Thx!
1. A 4m long ladder is leaning against a wall. Its base is slipping away from the wall at a constant rate of 2m/s. At what rate, to 2 decimal places, will the top of the ladder by slipping down the wall when the base is 1m out from the wall?
2. An observer sees a plane directly overhead, 2km above the ground. The plane is moving horizontally at a constant speed of 500km/h. Find the rate at which the distance will be increasing between the observer and the plane when the distance between them is 5km.
3. A kite, 20m high, is blown along horizontally at 3m/s by the wind. At what rate is the string being let out when it is 40m long?
4. A spherical bath oil capsule dissolves in the bath so that its decrease in volume is proportional to its surface area. If its shape remains spherical as it dissolves, show that the radius of the capsule will decrease at a constant rate.
5. A chute drops sand at a cosntant rate of 8m cubed per minute. As the sand falls to the ground it forms a cone shape such that the height of the cone is twice its radius. Find the rate at which the height of the sand will be changing, to 2 decimal places, when its height is 2n.
I have a test coming in a week and im still stuck on these questions ='(
Thx!