Other Math

1) If 1900 square centimeters of material is available to make a box with a square base and an open top, find the largest possible volume of the box.2) A rancher wants to fence in an area of 2500000 square feet in a rectangular field and then divide it in half with a fence down the middle parallel to one side. What is the shortest length of fence that the rancher can use?

1)  If 1900 square centimeters of material is available to make a box with a square base and an open top, find the largest possible volume of the box. 2) A rancher wants to fence in an area of 2500000 square feet in a rectangular field and then divide it in half with a fence down …

1) If 1900 square centimeters of material is available to make a box with a square base and an open top, find the largest possible volume of the box.2) A rancher wants to fence in an area of 2500000 square feet in a rectangular field and then divide it in half with a fence down the middle parallel to one side. What is the shortest length of fence that the rancher can use? Read More »

Determine whether b is in the column space of A. If it is, then write b as a linear combination of the column vectors of A. (Use v1, v2, and v3, respectively, for the three columns. If not possible, enter IMPOSSIBLE.)A = [(1,3,0);(-1,1,0);(2,0,1)]b= [(2,3,-4)]

Determine whether b is in the column space of A. If it is, then write b as a linear combination of the column vectors of A. (Use v1, v2, and v3, respectively, for the three columns. If not possible, enter IMPOSSIBLE.) A = [(1,3,0);(-1,1,0);(2,0,1)] b= [(2,3,-4)] EXPERT ANSWER

5. Suppose that x1 =3, x2 =0, x3 =−1, x4 =5 is a solution of a nonhomogeneous linear system Ax=b and that the solution set of the homogeneous system Ax=0 is given by the formulasx1 =5r −2s, x2 =s, x3 =s+t, x4 =t

5. Suppose that x1 =3, x2 =0, x3 =−1, x4 =5 is a solution of a nonhomogeneous linear system Ax=b and that the solution set of the homogeneous system Ax=0 is given by the formulas x1 =5r −2s, x2 =s, x3 =s+t, x4 =t (a) Find a vector form of the general solution of Ax=0. …

5. Suppose that x1 =3, x2 =0, x3 =−1, x4 =5 is a solution of a nonhomogeneous linear system Ax=b and that the solution set of the homogeneous system Ax=0 is given by the formulasx1 =5r −2s, x2 =s, x3 =s+t, x4 =t Read More »