Calculus page
Posted: Mon Apr 22, 2013 1:21 pmIs there a fast way to solve the following problems?
the 1958 movie, The Blob, is a sci-fi cult classic. Assume the Blob's volume increased at a constant rate. When its volume is 200 in^3, it was 5 in tall. Three hours later, it was 400 in^3. How fast was its height changing when it was 2 ft tall?
A tall, upright cylinder vat is filled with water and then drained from the bottom. The volume flow rate is proportional to the "head", the height of water above the drain. If 20% of the volume is drained in 20 minutes, how long would it take to drain 90% of the water from a full vat?
I know how to do the second problem, but is there a faster way to do it? Any help would be awesome
the 1958 movie, The Blob, is a sci-fi cult classic. Assume the Blob's volume increased at a constant rate. When its volume is 200 in^3, it was 5 in tall. Three hours later, it was 400 in^3. How fast was its height changing when it was 2 ft tall?
A tall, upright cylinder vat is filled with water and then drained from the bottom. The volume flow rate is proportional to the "head", the height of water above the drain. If 20% of the volume is drained in 20 minutes, how long would it take to drain 90% of the water from a full vat?
I know how to do the second problem, but is there a faster way to do it? Any help would be awesome