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A trough is 7 meters long, 3 meters wide, and 1 meters deep. The vertical cross-section of the trough parallel to an end is shaped like an isoceles triangle (with height 1 meters, and base, on top, of length 3 meters). The trough is full of water (density ). Find the amount of work in joules required to empty the trough by pumping the water over the top. (Note: Use as the acceleration due to gravity.)
A bookstore has an annual demand for 40,000 copies of a best-selling book. It costs $0.90 to store one copy for one year, and it costs $15 to place an order. Find the optimum number of copies per order.
The plane y + z = 3 intersects the cylinder x^2 + y^2 = 5 in an ellipse. Find the parametric equations for the tangent line to this ellipse at the point (1,2,1)
A circle of radius 1 rolls around the outside of a circle of radius 2 without slipping. The curve traced by a point on the circumference of the smaller circle is called an epicycloid. Use the angle theta to find the set of parametric equations of ..
Find the firing angle in degrees of a projectile fired at an initial velocity of 100 feet per second so that it strikes the ground 312.5 feet from the firing point.
Given the linear equation, find the y-coordinates of the points (-9, ), (0, ), and (9, ). Please show all of your work. Plot those points and graph the linear equation.
Let the sum from n=m to infinity of a_n be a formal series of real numbers. If this series is absolutely convergent, then it is also conditionally convergent.
For the following right triangle, find the side length x. Round the answer to the nearest tenth.
which decision should the financial manager make?
A father and his son can clean the house together in 4 hours. When the son works alone, it takes him an hour longer to clean than it takes his dad alone. Find how long it takes the son to clean alone.
Application of calculus
Biologists stocked a lake with 400 fish and estimated the carrying capacity (the maximal population for the fish of that species in that lake) to be 7000
This is the question in my assignment. Give an example of a number you could place in for the variable x, and describe the shift from the original graph. Remember to note what your value you are calculating for the variable x.
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