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1. A rectangular playground is to be fenced off and divided into two parts by a fence parallel to one side of the playground. 240 feet of fencing is used. Find the dimensions of the playground that will enclose the greatest total area.
2. A spherical snowball is melting in such a manner that its radius is changing at a constant rate, decreasing from 21 cm to 10 cm in 30 minutes. At what rate, in cubic cm per minute, is the volume of the snowball changing at the instant the radius is 3 cm?
what is the hub/authority score of a node after one iteration?
Find the total amount of interest that Eric and Pamela will pay over the 30 years of the mortgage.
Write the iterated integrals so that each one represents the area of the region R y=^3squareroot(x) and y=1/4x. then show that both integrals yield the same area. Area= double integral of dxdy.
Use Stokes' theorem to evaluate the integral of F around the curve consisting of the straight lines joining the points (1,0,1), (0,1,0) and (0,0,1). In particular, compute the unit normal vector and the curl of as well as the value of the integral
A researcher wants to determine if teenage drivers of red automobiles are more likely to run a red light than automobiles of any other color. She stands at a busy intersection and records the colors of automobiles which run red lights.
What is the inherent meaning and justification of cross-multiplication as it applies to solving an equation or inequality? In other words, why does cross-multiplication work?
Convert to base hex, octal, decimal and binary the Mayan number (base 20) J7GE.I8H (all done in arithmetic in decimal)
consider the cost function cax2bxc where x is the quantity. determine the coefficients of the function if the
Linear Transformations, Rotations, Submodules and Subspaces, (7) Let F=R, let V=R^2 and let T be the linear transformation from V to V which is rotation clockwise about the origin by pi-radians. Show that every subspace of V is an F[X]-submodule f..
What is the bound of a confidence interval with a width of 13? Report your answer to two decimal place.
The answer to Spanning sets, Determine spanning sets for each of the four fundamental subspaces associated with the matrix
Determine the position vector of any point on the line Y A, and hence find the position vector of the point X. Deduce that the shuttlecock cannot land in the shaded area of the court.
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