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Let S be the part of the plane 3x + 1y + z = 4 which lies in the first octant, oriented upward. Find the flux of the vector field F = 1I + 2J + 2K across the surface S.
A box is made from a sheet of metal that is 8 meters by 10 meters, by removing a square from each corner of the sheet and folding up the sides. Find the width of the square to removed in order to have a box of maximum volume.
Construct a comparative boxplot. Does it suggest that there is a difference between true average extensibility for high-quality fabric specimens and that for poor-quality specimens?
You have 80 yards of fencing to enclose a rectangular region. Find the dimensions of the rectangle that maximize the enclosed area. What is the maximum area?
Let A be the area under the graph of an increasing continuous function f from a to b, and let Ln and Rn be the approximations to A with n subintervals using left and right endpoints, respectively.
What is the compound interest earned?
Real Life Application of Linear Eqations : A mathematician has developed a model indicating a woman with x years of education can expect to earn y = 1200x + 6300 dollars a year.
Recall that a graph G is randomly Eulerian from a vertex x if and maximal trail starting at x in an Euler circuit. (If T = xx_1 ... x_l, then T is a maximal trail starting at x iff x_l is an isolated vertex in G - E(T).)
If a body of a mass m starting from rest is given a constant acceleration of a,then after time t,its velocity is v=at and its kinetic energy is E=1/2mv^2. If a mass of 0.5 tonne starting from rest is given a constant acceleration of 2.0 m/s^2, fin..
O is the intersection point of the medians of a triangle ABC. The medians are AD, BE, CF. What is the ratio of the area of triangle EOC to TRIANGLE abc?
find the area of the surface of the cylinder z^2 +y^2=9 lying in the first octant between planes y=x^2 and y=3x
Write an equation representing the amount of money the class will make based on the number of tons of newspapers collected.
A calender's page is cut in such a way that the cut piece is a square and it has 16 numbers on it. if the summation of the numbers is divisible by 17, what will the summation of the numbers placed on the diagonal of the square? usually in a calend..
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