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Unformatted text preview: b →∞xe(1 / 7) x  b + Z ∞ e(1 / 7) x dx = 7 . 1 2 Problem 8 Z 2 Z x 5 xydydx = Z 2 5 x 3 2 dx = (5 / 8)(16) = 10 . Z ∞ Z ∞ e(10 x +9 y ) dydx = 1 / 90 . Problem 9 To ﬁnd the value of x such that ex/ 6 = 1 / 3, take the natural log of both sides and solve for x : once you do that, you’ll see that x = 6 . 5917. Problem 10 Here d dt Z x 4 x 2 3 xtdt = Z x 4 x 2 ± ∂ ∂t 3 xt ² dt + 3 x ( x 4 )(4 x 3 )3 x ( x 2 )(2 x ) = Z x 4 x 2 3 xdt + 12 x 86 x 4 = 3 2 x 83 2 x 4 = 27 2 x 815 2 x 4 ....
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 Spring '08
 Zahrn
 Calculus, Limit, Harshad number

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