MTH 207 Final: MTH 207 Final Exam Fall 2007
Document Summary
The formula sheet is attached as the last page of the examination paper. You may not use calculators or other electronic devices. Give full justi cation for your answers; the correct answer alone may be worth nothing. The following table is for the markers" use only; please do not write anything in the empty boxes next to the question numbers. [12] (1) find the derivatives dy dx of the following functions: (a) y = 3e x + 1. 3 x2 x tan 1(x). (b) x3 + y3 = 3x2y. (c) y =z cos(x) 1 t2dt. (d) use logarithmic di erentiation to nd the derivative of y = 3s x 2 (x2 + 1)(2x + 3) [12] (2) evaluate the following de nite and inde nite integrals: (a) z x3. 2x + 1 x2 dx. (b) z x. 1 + x2 dx. (c) z e2 e. 1 x ln x dx. (d) z sec2(3x)etan(3x)dx.
