MATH142 (DB125) Essentials of Engineering Mathematics
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Use the integral test to determine whether the series converges.
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Use the integral test to determine whether the series converges.
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Find the limit of the sequence if it converges; otherwise indicate divergence.an = 
n
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A recursion formula and the initial term(s) of a sequence are given. Write out the first five terms of the sequence.a1 = 1, an+1 = 
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Write the first four elements of the sequence. sin (nπ)
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Find the particular solution for the initial value problem. (4x + 4)y = 
; y(0) = 1
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Find the particular solution for the initial value problem. x 
= 4x2e2x; y(0) = 16
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Solve
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Find the general solution for the differential equation.
= y2(4 - ex)
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Find the general solution for the differential equation.x2 
+ xy = 4x4 + 7x7, x > 0
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