MATH 1502 Final: MATH 1502 GT prepFinal09
Document Summary
Practice final for calculus ii, math 1502, november 30, 2009. This test is to be taken without calculators and notes of any sorts. The allowed time is 2 hours and 50 minutes. For example, if you mean 2 do not write 1. 414 . Show your work, otherwise credit cannot be given. 1 x dx . e lim x 0 ln(cos x) x2: calculate the integral provided it exists. 1 sin( 1 x ) x2 dx . 3: a) find the interval of convergence (including the endpoints) of the power series: does the series. If it does converge, give a reasonable estimate on n so that sn, the n-th partial sum, and the limit di er by 10 5. 4: solve the di erential equations and xy + 5y = x3 , y(1) = 1 y = x(1 + y2) , y(0) = 0 .
