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You think you have tracked down the con artist csc (x) - cot (x), but he has hidden his true identity. If you can verify that sin (x) 1 + cos (x) is in fact his cover up identity, then you will have finally caught the infamous con artist.
Suppose the Environmental Protection Agency (EPA) would like to investigate the impact that octane has on gas mileage. The following table shows the gas mileage for six cars that were driven 1,000 miles with three different grades of gasoline: 87,..
How wide our confidence interval should be if we want our level of confidence to be 100%? Why?
Here y1, y2, y3 are nonnegative integers that satisfy y1 + y2 + y3 = n.(a) Show that Y1 follows Binomial(n, p1) by showing that
Consider this LP formulation: Minimize cost = $X + 2Y X +3Y ≥ 90 8X + 2Y ≥160 3X + 2Y ≥ 120 Y≤70 X, Y≥ 0 Graphically illustrate the feasible region and apply the isocost line procedure to indicate which corner point produces the optimal solution. Wha..
the indicated derivative
A rectangular field with a perimeter of 32 feet must have an area of at least 60 square feet (or possibly more). What are the possible values for the length of one side so that both conditions are met? Express your answer in interval notation.
Assume Gary is at rest at noon, then accelerates at a constant rate of 3 ft/sec^2. Find the parametrization of the motion in terms of t, seconds after noon. How long does it take to reach a height of 500 feet?
Find the local minimum value(s). Find the local maximum value(s). Find the inflection points. Find the interval where the graph is concave upward.
Find the slope of the line passing through the points (1990, 3.5) and (2005, 5.15). Interpret the slope as a rate of change.
A farmer has a rectangular garden plot surrounded by 270 ft of fence. If its area is 3800 ft2, what is the length and width of the garden?
The cost-allocation system Holly has been using allocates 90% of overhead costs to the standard cello because 90% of direct labor hours were spent on the standard model - How much overhead was allocated to each of the two models last year?
Lethal yellowing, disease that kills Palm trees, is moving across the Caribbean Islands at a rate of about 1 3/10 miles per month. How many months m will it take for the disease to spread a distance of 195 miles?
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