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the manager of a company determines that when q hundred units of a particular commodity are produced, the total cost of production is C thousand dollars, where C^2-3q^3=4275. when 1500 units are being produced, the level of production is increasing at the rate of 20 units per week. what it the ttal cost at this time, and at what rate is the total cost changing at that moment?
Use the definition of the derivative to find the derivatives of the following functions: Use the definition of the derivative to write out the derivative of h(x) where h(x)=f(x) + g(x). Can you rearrange the terms to write this in terms of the deri..
Determine the QR factorization of A. Use the QR factors in 1) to determine the lease squares solution to Ax=b. Ax=b is the solution related to Rx=Q^Tb
Write equations for vertical and horizontal lines passing through the point (-6,5) in (x,y) coordinates. A line passes through the point (x,y)= (-9,-5)and has a slope of -8. Write an equation for the line.
For a fish swimming at a speed v relative to the water, the energy expenditure per unit time is proportional to v^3. It is believed that migrating fish try to minimize the total energy required to swim a fixed distance.
Choose one equation of each type: linear, quadratic, polynomial, rational, exponential, and log. Plot each equation on the same graph. Discuss and compare the appearance of each graph.
Using rectangles whose height is given by the value of the function at the midpoint of the rectangles base (the midpoint rule); estimate the area under the graphs of the following functions, using first two and then four rectangles.
Suppose the current exchange rate for the Polish zloty is Z 2.85. The expected exchange rate in three years is Z 2.93. What is the difference in the annual inflation rates for the United States and Poland over this period?
Find the average weekly breakdown cost.
If a ball is thrown into the air with a velocity of 40ft/s, its height in feet after "t" seconds is given by y = 40t-16t^2. a) Find the average velocity for the time period beginning when t=2 and lasting
What is the line of symmetry? Graph the function using the equation in part a. Explain why it is not necessary to plot points to graph when using y = a (x - h)2 + k.
Probability: High Risk Apartments. In a local town, there are three separate apartment blocks, A, B and C. Block A contains 10 apartments, of which two contain "High Risk" inhabitants.
A particular test for the presence of steroids is to be used after a professional track meet. If steroids are present, the test will accurately indicate this 95% of the time.
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