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Question: U.S. CENSUS The number of Americans aged 45-54 yr (which stood at 25 million at the beginning of 1990) grew at the rate of
R(t) = 0.00933t3 + 0.019t2 - 0.10833t + 1.3467
Million people/year, t yr from the beginning of 1990. How many Americans aged 45 to 54 were added to the population between 1990 and the year 2000?
Find a recurrence relation for the number of bit strings of length n that contain three consecutive 0s. What are the initial conditions?
Find a recurrence that defines the sequence 2, 3, 5, 9, 17, 33, 65.... Now find a different sequence that satisfies this recurrence.
In a set of 24 months of data for medical leave that has a mean of 11 days per month and a standard deviation of 4.69, how many months are expected to have fewer than 15.69 days per month reported medical leave (one standard deviation above the me..
Where should Steve cut the wire so that the total area of the circle and square combined is as small as possible? What is this minimal area? What should Steve do if he wants the combined area to be as large as possible?
Given the vector field F=3yi + (5-2x)j + ((z^2)-2)k find the surface integral of the normal component of curl F over the open hemispherical surface (x^2)+(y^2)+(z^2)=4 above the xy plane
Find the equation of the line that passes through the point (3,5) and is perpendicular to the line 2x-y=8. Write answer in standard form, Ax + By =C where A, B and C are integers and A>0
Two jugs A and B have capacities of 3 quarts and 5 quarts, respectively. Can you use the jugs to measure out exactly 1 quart of water.
the base of a right triangular prism is a isosceles triangle whose equal sides measure 25 cm each. the volume is 0.075 cubic meters. what is the height of the prism.
Use generating functions to find the number of ways to choose a dozen bagels from three varieties-egg, salty, and plain-if at least two bagels of each kind but no more than three salty bagels are chosen.
Plot the straight line developed from the Linear Trend equation, and the actual Peak demand versus the time, with time being the independent variable.
A baseball team plays in a stadium that holds 56000 spectators. With the ticket price at $9 the average attendance has been 24000. When the price dropped to $8, the average attendance rose to 28000.
Challenge: Analyze the proof you gave for the previous problem. Would it work for n overlapping squares? Triangles? What about for spheres in space?
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