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You are given the four points in the plane A = (-6,1), B = (-3,-2), C = (-1,8), and D = (2,-5). The graph of the function f(x) consists of the three line segments AB, BC and CD. Find the integral ∫-62 f(x) dx by interpreting the integral in terms of sums and/or differences of areas of elementary figures.
The dimensions of a closed rectangular box are measured as 60 centimeters, 50 centimeters, and 90 centimeters, respectively, with the error in each measurement at most .2 centimeters. Use differentials to estimate the maximum error in calculating ..
Patrick Seeley has $2,400 that he is looking to invest. His brother approached him with an investment opportunity that could double his money in four years. What interest rate would the investment have to yield in order for Patrick's brother to de..
carolyn and kim are selling lemonade this summer. It cost $0.10 to make each cup pf lemonade . they are going to sell each cup of lemonade for $0.25 . What is the least number of cups of lemonade they need to sell in order to collect $10.00 more t..
Suppose that he must add the same number of bags to each side. How many bags must he add to each side in order to balance the scale?
A two-person game is played in which a fair coin is tossed until either the sequence HT (heads, tails) or the sequence TT (tails, tails) appears.
Consider the intersection of level surfaces of F = x^3 + y^3 - u^3 - v^3 and G = xu + yv.
A survey of 100 mayonnaise purchasers showed 65 were loyal to one brand. For a survey of 100 bath soap purchasers showed only 53 were loyal to one brand.
a rancher has 216 feet of fencing to enclose two adjacent rectangular corrals. what dimensions will produce the largest total area?
you are designing a rectangular poster to contain 256 inches squared with a 3 inch margin at the top and bottom and a 2 inch margin at each side. What overall dimensions will minimize the amount of paper used ?
To estimate animal populations, biologists count the total number of animals in a small section of a habitat. The total population of animals is directly proportional to the size of the habitat (in acres) polled.
A computer parts company wants to make a rectangle memory board that has a perimeter of 28 cm. What dimensions will allow the board to have a maximum rate.
number of correct answers on a test and test score 4) number of students in a class and number of students of with brown hair
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