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a farmer has 400 feet of fence with which to fence a rectangular plot of land. the plot lies along a river so that only three sides need to be fenced. estimate the largest area that can be fenced.
Identifying and Recognizing Variations in Sets, I am currently working on sets and how to identify/recognize variations based on symbols. Is there any kind of "outline" or list/reference that I can utilize to better understand their core meaning?
when a circular plate of metal is heated, its radius increases at a rate of 0.02cm/min. at what rate is the plate's area increasing when the radius is 52 cm?
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Explain why a point on the boundary line cannot be used as a test point when graphing a linear inequality in two variables. Provide an example.
Group Homomorphism and Abelian Groups, Let phi: G ---> H be a group homomorphism. Show that phi[G] is abelian if and only if for all x, y in G, we have xyx^(-1)y^(-1) in ker(phi).
If you have 280 meters of fencing and want to enclose a rectangular area up against a long, straight wall, what is the largest area you can enclose?
An economy has three sectors: A, B, C. Sector A sells 20% of its output to B and 30% to C and retains the rest. Sector B sells 30% of its output to A and 40% to C and retains the rest. Sector C sells 50% of its output to A and 30% to B and retains..
Find the equation of the tangent plane to the central conicoid x2 - 4y2 + 3z2 + 2 = 0 at the point (1,2,0). Find whether the plane 2x + 3y + 2z =3 touches the central conicoid 2x2 + 3y2 + z2 = 1 or not.
A bond with a face value of 100; 000 has coupons of 3% per annum payable semi-annually. It will be redeemed at par. It is purchased for a price of 91,825. At this price the yield to maturity is 4% per annum convertible semi-annually. Calculate the..
An automobile manufacturer produces 7 models, each available in 6 different exterior colors, with 4 different upholstery fabrics and 5 interior colors. How many varieties of automobiles are available?
Find the solutions of the congruence 12x^2 + 25x = 10 (mod 11). [Hint: Show the congruence is equivalent to the congruence 12x^2 + 25x + 12 = 0 (mod 11).
Evaluate the type of conic from the given equation - Indicate which type of conic each of the following represents.
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