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the dimensions of a rectangle are ssuch that its length is 9in more than its length were doubled and the with were decreased by 4in the area would be increased by 168 in^2. what are the length and the with of the rectangle?
A rectangular package can have a maximum combined length and girth (perimeter of a cross section) of 108 inches. Find the dimensions of the package of maximum volume. Assume cross section is square.
At a price of $1.94 per bushel, the supply of corn is 9800 million bushels and the demand is 9300 million bushels. At a price of $1.82 per bushel the supply is 9400 million bushels and the demand is 9500 million bushels.
Apply Stroke's theorem to evaluate the integral over C of (ydx + zdy + xdz), where C is the curve of intersection of the unit sphere x^2+y^2+z^2=1 and the plane x+y+z=0
Let R be a ring with the property that every element is either nilpotent or invertible. If a, b, c are in R with a and b nilpotent, show that ac, ca, and a + b are nilpotent.
Suppose that the simultaneous equations F(x,y,z)=0 and G(x,y,z)=0 define x=f(z) and y=g(z) implicitly, Determine expressions for dx/dz and dy/dz in terms of partial derivatives of F and G
What four steps should be used in evaluating expressions? Can these steps be skipped or rearranged? Explain your answers.
A boat race runs along a triangular course marked by buoys A, B, and C. The race starts with the boats headed west for 3600 meters. The other two sides of the course lie to the north of the first side, and their lengths are 1500 meters and 2800 me..
In how many ways can the six books be arranged on the shelf if books on the same subject matter are placed together?
Find the multiple integral under given condition using cylindrical coordinate - Determine the triple integral
Use Gauss's law to find the charge enclosed by the cube with vertices {(+/-)1,(+/-)1,(+/-)1} if the electric field is E(x,y,z) = 4xi+2yj+1zk
Develop a model to represent the total profit for selling x necklaces. How many necklaces will the student have to sell to break-even?
what is the population of each species at time t?
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