Reference no: EM131139262
1. Find the dimension of a cylindrical can, open at the top and of fixed surface area K, which maximize the volume.
2. Find the non-negative number x and y such that 2x + y = 30 and xy2 is maximized.
3. Find the most general antiderivative of the following functiuons:
a) x2 + 2x1/3 + 3x-4 + 5x-1 + eπ
b) 23x
c) 2/3x+4
d) (x2 + 1)2
e) x(1+x2)1/3
f) sec2(3x)
g) 3/1+4x2
4. Evaluate the following limit limn→∞i=1∑n 3i/n + 4(e2i/n/n).
5. Evaluate the following integrals:
a) 0∫1x2e-x^3 dx
b) 0∫πx3cos(x4) dx
c) -1∫1(x/1 + x2 + sin2x)dx
6. Evaluate the following integrals by interpreting it as an area:
0∫6 (√(9-(x-3)2) + 2) dx.
7. Find the area between the line y = x and parabola y = x2 from x = 0 to x = 2.
8. Find the derivative of the following functions:
f(x) = sinx∫e^x ln(1+t2)dt, g(x) = sec x 0∫x (t/2+tan3t) dt.
9. The velocity at time t of a particle moving along the x axis is given by v(t) = 2t3 + 1. Find s(t), the position of the particle at time t given that it is at x = 10 at the initial time t = 0.
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Write an analytical report and annotated bibliography
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The ems exchange rate mechanism
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The ems exchange rate mechanism
: Why might the British government's critics have thought it possible to lower interest rates after taking sterling out of the ERM? (Britain was in a deep recession at the time the article appeared.)
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What problems can you see arising from such a scheme
: Imagine instead that the task had been left to the various national central banks, each of which was allowed to issue as much of the European currency as it liked and to conduct open-market operations. What problems can you see arising from such a..
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Find the dimension of a cylindrical can
: Find the dimension of a cylindrical can, open at the top and of fixed surface area K, which maximize the volume. Find the non-negative number x and y such that 2x + y = 30 and xy2 is maximized
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Find macro data on the british economy''s performance
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