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Question: Suppose you want to find a solution of the equation
x3 + 3x2 + 3x - 6 = 0
Consider f(x) = x3 + 3x2 + 3x - 6.
(a) Find f'(x), and use it to show that f(x) increases everywhere.
(b) How many roots does the original equation have?
(c) For each root, find an interval which contains it.
(d) Find each root to two decimal places, using Newton's method.
In three complete and well composed paragraphs, select an expert from the reading from 50 Shades of Digital Marketing and summarize their views. Do you agree or disagree with their point of view? Why?
Show that a nonempty set has the same number of subsets with an odd number of elements as it does subsets with an even number of elements.
We consider a puzzle posed by Petkovi´c in [Pe09] (based on a problem in [AvCh80]). Suppose that King Arthur has gathered his 2n knights of the Round Table.
Which factors are not included in GPI, even though they are included in GDP, because they are defensive expenditures or because of differences in accounting methods?
Early one morning it began to snow at a constant rate. At 7 AM a snowplow set off to clear a road. By 8 AM it had traveled 2 miles but it took two more hours for the snowplow to go another 2 miles.
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Player II chooses a number j ∈ {1, 2, 3, 4}, and Player I tries to guess what number II has chosen. Set up the matrix of this game and solve
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Evaluate the combination or binomial function in the completion 48 factorial over 37 factorial. The answer should equal to 22595200368.
ABCDEF is a regular hexagon with centre O which is also the origin of position vectors. Find the position vectors of the vertices C, D, E, F in terms of the position vectors a, b of A and B.
At the Delicious Pie Bakery, there are 18 banana-containing pies, 23 chocolate-containing pies, 12 peanut-butter-containing pies.
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