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To pass a course, you must have a final average of at least 60%. If a student scores 42 and 74 on the first two tests, what must be earned on the third test to pass the course?
the dual degree students are receiving lower grades? Explain your answer to receive full credit.
Suppose that V and W are vector subspaces of Rn. If I define: How can I prove that V+W is also a vector subspace of Rn and ALSO how could verify that (for example)
What does the final row of the augmented matrix in echelon form (the above description) tell you about the solution to the system of 5 linear equations?
A cylindrical drill with radius 2 is used to bore a hole throught the center of a sphere of radius 7. Find the volume of the ring shaped solid that remains using polar coordinates.
Suppose three fair coins are flipped. Find the probability for each of the following events. Exactly two coins are tails.
A company is constructing an open-top, square-based, rectangular metal tank that will have a volume of 66 ft^3. What dimensions yield the minimum surface area? Round to the nearest tenth, if necessary.
Acme can produce DVD players at a cost of $140 each and market analysis estimates that if the players are sold at x dollars apiece, consumers in a region will buy approximately 2000e^-0.01x machines per week.
From the following augmented matrix, first write the system of equations that represents the augmented matrix and then create a real-world word problem that would represent these equations and their unknowns.
Let f be a surjection. Then f is an isomorphism iff the order of the element f(a) is equal to the order of the element a , for all a belong to G.
Evaluate the point on the graph that is closest to given point - Find the point on the graph of the function that is given to closest point.
Find the unit price and profit functions.
Solve for the derivative of the given function, finding the slope of the line that is tangent to its graph for the specified value of the independent variable
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