General Questions Set 19:
lim x→0 sin(x)/x
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The series Σ (n=0 to ∞) 1/n! converges to
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If x varies inversely as y, and x=3 when y=5, then what is the value of x when y=7?
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Find the constant k such that P(x) = k*x2, 0 < x < 3, is a probability density function.
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Find the Laplace transform of the integral:
0∫∞ (e-at - e-bt)/t dt
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What is the sum to infinity of the series, 3+6x2 + 9x4 + 12x6 + ..., given |x| < 1?
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The given differential equation is 4y''(x) + 3(y'(x))^3 + y^5 + y = x
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A force of F = 3i + c j + 2k is acting on a particle and causes a displacement of S = -4i + 2j + 3k in its own direction. If the work done is 6 J, then the value of c is ___.
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Which of the following statements about numerical methods is correct?
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The differential equation y'''(x) + (y/2)y''(x) = 0 is a
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