MATH 2Z03 Lecture 6: lecture6.3

(1 pt) (St 1) i t sin t) j 5t4k, G Let F Find the vector derivative 5,tn (3)(4sin (t),tcos (t))20tA(3) (2) G. (3) H e 5t 4t cos(4t)j es k and H ri 1 t

point) Find all the values of x such that the given series would converge. (2 1) Tn TL

(a) Find the approximations T4 and M4 for integral 1 to 2 9e^1/x dx. (Round your answers to six decimal places.)T4 = M4 =(b) Estimate the errors in the approximations of part (a). (Round your answers to six decimal places.) (c) How large do we have to choose n so that the approximations Tn and Mn to the integral in part (a) are accurate to within 0.0001? Tn n= Mnn=