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A rancher has 208 feet of fencing to enclose two adjacent rectangular corrals. What dimensions will produce the largest total area?
In rectangle ABDF above, C and E are midpoints of sides BD and DF, respectively. What fraction of the area of the rectangle shaded?
A solution was prepared by mixing 4.00 ml 0.20 M NH3, 1.00 ml of 0.20 M HCl, and 5.00 ml of water. Calculate the concentration of NH3 and NH4+ in the final diluted solution.
What is the probability of getting an A on the exam? What is the probability of getting an A in the course?
A company wishes to manufacture a box with a volume of 56 cubic feet that is open on top and is twice as long as it is wide. Find the width of the box that can be produced using the minimum amount of material.
Repeat the procedure making a second graph for the third-order rational function (e.g., x3). For each of the two graphs, describe how changes in coefficients and constants change the behavior of the function.
The volume of a sphere of radius R is v(R)=4piR^3/3. If the radius is increased by delta(r), what is the increase in volume to the first order? Type in your answer using D in place of delta(r).
Find the arc length of the parametric curve x = 3 cos t, y = 3 sin t, z = 4t; 0
a forklift to raise a crate of pickles on a platform to a height 2.75 m above the floor. The combined mass of the platform and the crate is 207 kg. If the power expended by the forklift is 1440 W, how long does it take to lift the crate?
When we graph a linear equation, the graph is a line. What do the points on the line represent? When we graph a system of equations, what does the point of intersection represent?
A farmer has a rectangular garden plot surrounded by 200 ft of fence. Find the length and width of the garden if its area is 1275 ft2.
a norman window has the shape of a rectangle surmounted by a semicirlce of diameter equal to the width of the rectangle. if the perimeter of the window is 20 feet, what dimensions will admit the most light?
A bookcase is to be constructed. The length is to be 3 times the height. If 60 feet of lumber is available for the entire unit, find the length and height of the bookcase
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