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A rectangular pot of ground measuring 12 meters by 20 meters is surrounded by a sidewalk of uniform width. The area of the sidewalk is 68 square meters. Find the width of the sidewalk.
A computer gives the approximate value .84776 to 5 digit accuracy for the sum of the series: (-1)^n/[n(lnn)^2], from n=2 to infinity. Find a specific partial sum which is guaranteed to give this number to 5 digit accuracy?
Use the method of undetermined coefficients to find one solution
Find the inverse of the matrix.
A significant amount of improvement took place
The half-life of plutonium-234 is 9 hours. If 70 milligrams is present now, how much will be present in 6 days? (Round your answer to three decimal places.)
sum of three integers is 194, the sum of the first and second integers exceeds the third by 76, the third integer is 61 less than the first. find the three integers.
Find the x-intercept(s) and the coordinates of the vertex for the parabola y=x^2+2x-35 . If there is more than one x -intercept, separate them with commas.
A student inherits 17500 dollars and puts the money in two different accounts. One account earns 5% annually and one account earns 8% annually. She earned a total of 1075 dollars after one year. How much money is in each account?
Show that if @:R -> S is a ring homomorphism, then the ker(@) is an ideal of R and that @ is injective if.
Suppose you have a cookie stand, and when you charge $3 per cookie box you sell 250 boxes. But when you raise your price to $5 you only sell 120 boxes.
Explain the five-steps for solving rational equations. Can any of these steps be eliminated? Can the order of these steps be changed? Would you add any steps to make it easier, or to make it easier to understand?
Find the component form of the velocity of the plane.
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