along the shore line when it makes an angle of ° with the shore? . A conical water tank with vertex down of metres height has a radius of metres at the top. If water flows into the tank at a rate cubic m/min, how fast is the depth of the water increases when the water is metres deep?
. A ladder metre long is leaning against the wall. The base of the ladder is pulled away from the wall at a rate of m/s. When the base of the ladder is metres from the wall, (i) how fast is the top of the ladder moving down the wall?
(ii) at what rate, the area of the triangle formed by the ladder, wall, and the floor, is changing? Fig. . P N ( , a ( t )) ( b ( t ) , ) c ( t ) E - - Applications of Differential Calculus , A police jeep, approaching an orthogonal intersection from the northern direction, is chasing a speeding car that has turned and moving straight east.
When the jeep is . km north of the intersection and the car is . km to the east. The police determine with a radar that the distance between them and the car is increasing at km/hr.
If the jeep is moving at km/hr at the instant of measurement, what is the speed of the car?