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A CAT scan produces equally spaced cross-sectional views of a human organ that provide information about the organ otherwise obtained only by surgery. Suppose that a CAT scan of a human liver shows cross-sections spaced 1.5 cm apart. The liver is 15 cm long and the cross-sectional areas, in square centimeters, are 0, 17, 58, 77, 95, 106, 118, 127, 64, 39, and 0. Use the Midpoint Rule with n = 5 to estimate the volume V of the liver. V = ?
Find the estimated regression equation
Real time application of perimeter of a circle. To evaluate the distance travelled using the number of rotations.
If F is a field, prove that the field of fractions of F[[x]] is the ring F((x)) of formal Laurent series. Show that the field of fractions of the power series ring Z[[x]] is properly contained in the field of Laurent series Q((x)).
Find an equation of the tangent line at the point P (2, f(2)) for the graph of f(x) = 3x^2+4x+2
Find a basis for the col(A) and a basis for col(A^t).
The school cafeteria has found that they go through 7 sandwiches for every 4 tickets they sell to the students. Today they have 344 tickets for sale. How many sandwiches do they need to make?
From a group of 8 women and 6 men, a committee consisting of 4 men and 3 women is to be formed. how many different committees are possible?
An electronics firm produces electronic components, which it supplies to various electrical manufacturers. Quality control records indicate that different employees produce different numbers of defective items.
Assuming there is no other cost, write down an expression for the cost of the finished stone and identify the different terms in it.
Find the temp of the ice water after 30min.
Suppose that 8 female and 7 male applicants have been successfully screened for 5 positions. If the 5 positions are filled at random from the 15 finalists, what is the probability of selecting
At one high school, the mean time for running the 100-yard dash is with a standard deviation of 0.9 seconds. The times are very closely approximated by a normal curve. Find the percent of times that are:
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