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A poster is to have an area of 240 in2 with 1 inch margins at the bottom and sides and a 7 inch margin at the top. What dimensions will give the largest printed area? (Give your answers correct to one decimal place.)
Use vector techniques to prove that a triangle and its medial triangle have the same centroid. You may take it as a given fact that the location of the centroid of triangle ABC is the vector (vector OA + vector OB + vector OC)/3.
Let f(x,y) = 1 - x2 - 2y2 and let S be the surface z = f(x,y). Parametrize the path of steepest ascent up S starting from the point (2, 1, -5). What point does the path approach?
Use geometric techniques to estimate the percentage full. Find an upper and lower bound to the percentage full.
What is the probability of choosing a queen from a deck of 52 cards? What is the probability of the 2nd card being a queen if the first was a queen? (without replacement)
he first three characters of a car license plate number are letter characters. Car license plates can have repeats. For a), remember that the combination "AA" is possible.a) What's the probability of the first three characters being BAZ?
A window frame that seems rectangular has height 408 cm, length 306 cm, and one diagonal with length 525 cm. Is the window frame really rectangular? Explain please.
The measurement of the edge of a cube is found to be 19 inches, with a possible error of 0.07 inch. Use differentials to estimate the propagated error in computing (a) the volume of the cube and (b) the surface area of the cube. Give your answers ..
Use the point-slope form of the linear equation to find an equation of the line with the given slope and passing through the given point. Then write the equation in standard form.
Let S = {1,2,3,4,5,6,7,8}. Determine: The number of subsets of S. The number of subsets of S with at most four elements
A container initially contains 200 gallons of pure water. a salt solution of concentration 4 pounds per gallon enters at rate of 2 gal/min, and the well stirred mixture leaves at a rate of 3 gal/min. find the number of pounds of salt in the contai..
two minor league baseball players got a total of 392 hits.washingtonhad 20 more hits than sanchez. find the number of hits for each player.
The average of two numbers, a and b, is given. The average is 75 one number is 91, what is the other number? Please show all work.
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