Find the area of the surface obtained when the graph of y = x2, 0 ≤ x ≤ 1, is rotated around the y-axis.
Find the volume of the solid that is generated by rotating the region formed by the graphs of y = x2, y = 2, and x = 0 about the y-axis.
A 100-ft length of steel chain weighing 15 lb/ft is hanging from the top of a tall building. How much work is done in pulling all of the chain to the top of the building?
Solution Summary
These are three calculus problems involving surface area, volume, and work.
... P2 = 1 atm (at the surface) V2 ... Constant temperature and pressure = volume will increase, and work is done ... inside of the refrigerator) to a warmer area (the air ...
... inside of the refrigerator) to a warmer area (the air ... is exerted on the top and bottom surfaces of the ... Just before it reaches surface, P is at atmosphere (P ...
... All work for this problem can only be solved by hand or ... 2HW + 2 * (2L + 2 W) refers to total surface area of the ... 2 Now, since volume is 2ft 3 , LHW = 2. That is ...
... filled with lead shots to float on the surface fully submerged ... F = 3.23 x 105 x A .(! where A = Area of cross ... As volume V of water flows out of the pipe ...
... Give examples of surfaces which have the following geometries. ... 55. Surface area=4*sqrt(144)=48. 59. ... And area of square #2 = 4*(a*b)/2+c2. ...
... sections with the width of ∆yi , the area of each ... the plate base from the water surface is b ... form of lb () F = weight 3 × volume of gasoline ...
... 2. You know the meaning of the work "diploid" Bananas are triploid. ... problem, the cell will divide into two, thus increasing the surface area/volume ratio for ...
... Therefore average force acting on the glass surface = 2mvNsinθ/t. ... 5. Given : No of breathes per minute = 22 Volume of each breath = 0.6 ... 6. Piston mass m, area A. ...
... in a 4 mx 500 mx 100 000 m volume on the ... 2 1) Consider an urban area (100 km ) with a temperature profile ... with oo height between 30 C at the surface, and 24 C ...
