# Symmetrical Areas - Page 2

Questions

- Help with calculus optimization problem?
- What's the value of #h# which minimize the perimeter?
- Suppose a rectangular box with an open top must have a volume of 200 cubic meters and a base width equal to twice base length. Find dimensions of box to minimize material cost?
- Find # int int \ (x^2+y) \ dA # on region bounded by the curves #x=y^2# and #y=x^2#?
- How find the values of x when given y?
- Please help solve this question ?
- How to calculate area between #y_1=x^2-3x+2# and #y_2=-x^2+x+2#?
- What is the least amount of material required to construct a square base box one of whose base is open and whose volume is 2700cm^3?
- How do you integrate #int sqrt((9-w^2)/w^2)dw#?
- Find the mass of an object which is in the form of a cuboid#[0,1]×[2,4]×[1,3]#.The density at any point #(x,y,z)# on the cuboid is given by #delta(x,y,z)=x^2+y^2+z^2# ?
- Find the dimensions of the rectangle of maximum area that can be inscribed in a right triangle with base 6 units and height 4 units?
- How do I do this?
- A manufacturer wants to make a box with a square base that has a surface area of 300 square inches. The box is to have an open top. What dimensions should the manufacturer use to maximize the volume of the box ?
- A manufacturer needs to design a small cardboard box with a square base and no top (open-top box). The volume of the box needs to be exactly 32 cubic centimetres. What dimensions of the box will minimize the amount of cardboard (surface area) needed?
- Evaluate the integral ∫2sds limit from a to b?
- What is the region bounded by #x=y^2-6# and #y=x#?
- A box, open at the top is to be made from cardboard. The base of the box is a square of side x and its height is y. If the volume of the box is 32u^2, find the dimensions of the box if the area is to be least. Please help?
- A box, open at the top is to be made from cardboard. The base of the box is a square of side x and its height is y. If the volume of the box is 32u^2, find the dimensions of the box if the area is to be least. Please help?
- There are 40 marbles of radius #x#cm each & 60 marbles of radius #y#cm each. If #x# & #y# vary such that #x + y = 15#, how do I find the (exact) value of #x# & #y# that will make the sums of the volumes a minimum?
- What will be the volume of the cylinder: #x^2 + y^2 = 4# and the planes #y+z=4# and #z=0#?