2013年3月9日 · For a minimal surface area, the top of the tank will be square. Let's say the side of this square is x. And let h be the height of the tank. Then the volume is x \times x \times h = …

2008年11月23日 · We can use these to find the surface area of the can. I'm not sure if your cylinder is open on top or not, but the process for both is similar. So lets suppose that it is …

2011年9月25日 · Can I just say how confusing this part of the problem is. So 4root3 times radius cubed and 2 times pi times radius times hight describe the surface area of the rectangular …

2020年10月11日 · A potter may form a cylinder as part of another process, such as the production of a number of disks of equal size, assuming they can be cut from the cylinder with minimal …

2007年3月15日 · The surface of mountain is modeled by the equation h(x,y)=5000 -0.001x^2-0.004y^2. A mountain climber is at the point (500, 300, 4390). In what direction should the …

2007年4月28日 · Since z=xy+1, thus any point on surface is (x,y,xy+1) The distance of this point from the origin is, sqrt(x^2+y^2+(xy+1)^2) = sqrt(x^2+y^2+x^2y^2+2xy+1) We need to …

2007年5月28日 · A spherical raindrop evaporates at a rate proportional to its surface area. Write a differential equation for the volume of the raindrop as a function of time. The back of the book …

2009年8月26日 · A chemistry student in lab needs to fill a temperature-control tank with water. The tank measures long by wide by deep. In addition, as shown in the sketch below, the …

2013年3月24日 · In any poset (partially ordered set), an element u is an upper bound of a set S iff s\leq u for all s in S. In particular for {a,b,c} both l and m are upper bounds from your diagram.

2011年8月23日 · Let f and g be the functions given by f(x) = 1+sin(2x) and g(x) = eˆx/2. Let R be the shaded region in the first quadrant enclosed by the graphs of f and g as shown in the …