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a rectangular piece of cardboard is twice as long as it is wide. A 4-cm square is cut out of each corner, and the sides are turned up to make a box with an open top. The volume of the box is 616cm cubed. Find the original dimensions of the cardboard.
Prove that if P is any point in a regular tetrahedron of height h, then the sum of the perpendicular distances from p to the four faces of the tetrahedron is equal to h.
Find the volume of the solid generated by revolving the region bounded by the graph of y=x*sqrt(4-x squared), y=0 about the x axis.
Decompose 6i-3j-6k into vectors parallel and perpendicular to following vectors.
Suppose the objective function is changed to max 5A + 2B. Find the optimal soultion and the value of the objective function.
give the definition for a cauchy sequence of real numbers, prove that every convergent sequence is a cauchy sequence.
The length of an object is 3 times with the following results. 6.145cm, 6.12cm, and 6.2 cm . If the acutal value of the length is 6.11 cm , find the percent error between the average meansurement and the acutal value. Show all work.
Write a program for the arithmetic (negation of an integer, addition, subtraction and multiplication of two integers) of integers using 3's complement representation.
Which of the following can be solved by using a system of equations? Laura and Mark went to the movies and spent $29 on movie tickets and snacks. Mark paid $10 more than Laura. How much did each spend?
What are the two dollar amounts, equidistant from the mean of $30, such that 90% of all customer purchases are between these values?
Determine the largest and smallest values of the marginal cost for 0
Prove directly that the eigenvalues of A are purely imaginary. Prove that if x and y are eigenvalues associated to distinct eigenvalues, then they are orthogonal, i.e. x^H*y = 0
A rope is wrapped around a pole so that a force of 75 lbs acts on one end and a force of 53 lbs acts on the other end. If the angle between the two forces is 114 degrees what is the resultant force?
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