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The area of a given rectangular plate is a given value, but its dimensions are not given. One may make a cuboid without a side out of this plate by cutting four equal squares from the four corners of the plate, and bending the four resulting edges. For what dimensions of the plate one would obtain the maximum volume of the cuboid? What is the value of this maximum?
Tickets numbered 1 to 20 are mixed up and then a ticket is drawn at random. What is the probability that the ticket drawn has a number which is a multiple of 3 or 5?
The surface area of this pyramid is 189cm squared.The area of the square base is 49cm squared. What is the area of one triangular face of the lateral surface? Show the steps of your solution and explain your work.
write the function in terms of the cofunction of a complementary angle.
The graph of the tilted ellipse x2 - xy + y2=3 is shown to the right. What are the dimensions and the location of the box containing the ellipse?
One common type of calculation that is made frequently out there in the real world is a "fixed and variable cost problem" - what I call a Garfield problem because it's a "lump and per" scenario. What is your total cost per month? Approximately how ..
a password consists of three digits 0 through 9 followed by three letter from an alphabet having 26 letters. if
M and N are the midpoints ofSymbol for segment P R.andSymbol for segment Q R.respectively.
What does the result suggest about the effectiveness of seat belts?
the entries in the 3 x 3 array are all the digits from 1 to 9 arranged so that the entries in every row and every
compactness.suppose k is compact set. prove that k is of content zero if and only if is of measure zero. give a counter
Find the equation of the tangent plane to the central conicoid x2 - 4y2 + 3z2 + 2 = 0 at the point (1,2,0). Find whether the plane 2x + 3y + 2z =3 touches the central conicoid 2x2 + 3y2 + z2 = 1 or not.
question 1. in a survey of children who saw three different shows at walt disney world the following information was
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