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A lamina of uniform density p is bounded by the graphs of y = _ x, y =0, and x = 2. Find the numerical
A lamina of uniform density p is bounded by the graphs of y = _ x, y =0, and x = 2. Find the numerical 2 value of the mass m of the lamina. (A) p/3 (B) P (C) p/2 (D) 4p/3 The improper integral Jo e-*dx: (A) converges, the limit is 0 (B) converges, the limit is 1 (C) converges, the limit is e (D) diverges The interval of convergence of the series f(x) = " ( x - 2)" - is [1, 3]. Which of the following is the n=1 n2 interval of convergence of f'(x)? (A) [1, 3] (B) (1, 3) (C) [1, 3) (D) (1, 3] Use the Lagrange form of the Remainder to determine the maximum error in using the 5th order Maclaurin series generated by e" to approximate the value of e. (a) 0.003775 (b) 0.001388 (c) 0.02265 (d) 0.001459 The series (A) converges by the Ratio Test (B) converges by the Geometric Series Test (C) diverges by the Ratio Test (D) diverges by the Geometric Series Test
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