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Find a vector function whose graph is the curve of intersection of the elliptical cylinder (1/9)x^2 + z^2 = 1 and the parabolic cylinder y = x^2.
When one outlet pipe is closed, it takes 5 hours to fill the tank. Find the flow rates (in gallons per hours) in and out of the pipes.
Describe the process of multiplying binomials using the FOIL method in your own words. You can either write a paragraph describing the process, or you can list a set of steps to follow. Include an example problem in your answer.
If the number sold of franchise A is twice the number sold of franchise C, how many of each type did the company sell that year.
Verify that 18^3 - 1^3 = 17* 7^3 and find a point on the curve x^3 + y^3 = 17 with rational coordinates.
Set up an equation and solve the following problem. The length of a rectangular floor is 8 meter less than twice its width. If a diagonal of the rectangle is20 meters, find the length and width of the floor.
A wrench 0.6 meters long lies along the positive -axis, and grips a bolt at the origin. A force is applied in the direction of at the end of the wrench. Find the magnitude of the force in newtons needed to supply 100 newton-meters of torque to the..
A furniture manufacturer produces sofas, tables, and chairs. The profits per item are, respectively, $70, $120, and $80. The pieces of furniture require the following labor-hours for their manufacture.
Carl wants to construct three rectangular dog-trainig arenas side-by-side, as shown, using a total of 340 feet of fencing. What should the overall length and width be in order to maximize the area of the three combined arenas?
Give a procedure for converting from the hexadecimal expansion of an integer to its octal expansion using binary notation as an intermediate step.
Root test for convergence of geometric series and evaluate the interval of convergence of a power series.
What would be the null hypothesis for a chi-square test for testing if the claim made in the medical journal is indeed true?
What is the contribution margin ratio?
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