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Define the following sequences in MATHEMATICA.
yo = √2-1, z0 = 6-4√2
yk+1 = (1 - f(yk))/ (1+f(yk)), k≥0
zk+1 = zk(1+yk+1)4 -22k+3 yk+1 (1 + yk+1 + yk+12)
A 5×7 photograph has a rectangular cardboard mat frame that is an equal depth on all four sides. If the total area of the mat is 99 in2, what is the depth of the mat?
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
there were 380 tickets sold for a basketball game. the activity cardholders tickets cost 0.75 and the non-card holders
Let G be a group and H be a non-empty subset of G. We define H^2 as the set of elements of G which can be written in the form h_1 h_2, with h_1 ,h_2∈H.
A 6-ft tall man walks away from a 10-ft tall streetlight at 6 ft/sec. How fast is his shadow increasing when he is 8 feet from the streetlight?
a chemist needs 130 milliliters of 57% solution but only has 33% and 85% solutions available. How many milliliters of each should be mixed together to get the desired solution?
Find the volume of the region rotated about the given axis bounded by the graphs of e^-x, y=0, and x=0.
Assuming the change of either a boy or a girl is equal (50% each), what is the chance that the family has three girls given that the first child is a girl.
Suppose that we want to estimate the mean daily profit of a convenience store.
Find the equation of a line through (2,3,7) parallel to the line of intersection of the planes 2x + y + z = 0 and x-y +7z = 0.
A product is produced at three plants and shipped to four warehouses. Production costs per unit is $50 at Plant A, $20 at Plant B, and $30 at Plant C. The transportation costs per unit, plant capacity, and warehouse demand are given as follows: Wareh..
Solve the system of linear equations. If the unique solution does not exist state weather the system is inconsistent or dependent.
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