Find the taylor series about a 0 for 1 1 2 x 2 ans b

Info icon This preview shows pages 2–5. Sign up to view the full content.

View Full Document Right Arrow Icon
6. Find the Taylor series about a = 0 for 1 1 + 2 x 2 . Ans: b 7. What is the length of the part of the curve y = x 2 ! ln x 8 between the points (1,1) and ( e 2 , e 2 1 8 ) ? Ans d 8. Integrate: 3 x + 2 x 2 ! 4 dx 0 1 " a) -2 b) -3ln2 + ln3 c) ln2 d) ! /4 e) 0 f) ln(3) Ans: b
Image of page 2

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full Document Right Arrow Icon
9 Is the area S finite or infinite? If finite, what is the area? 10. Evaluate the following integral: dx x x ! 1 0 4 ln 3 Ans a 11. Evaluate the integral or show it is divergent : dx x ln x 1 ! "
Image of page 3
12. The base of a solid is the region enclosed by the ellipse 4 x 2 + y 2 = 1 . If all the plane crossections perpendicular to the x axis are semicircles, compute the volume of the solid. a) ! 6 b) ! 4 c) ! 3 d) ! 2 e) 2 ! 3 f) 3 ! 4 Ans c 13. Which of the following statements about the alternating series ( ! 1) n a n n = 1 " # where a n = n 1 + n 2 is true?
Image of page 4

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full Document Right Arrow Icon
Image of page 5
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

What students are saying

  • Left Quote Icon

    As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

    Student Picture

    Kiran Temple University Fox School of Business ‘17, Course Hero Intern

  • Left Quote Icon

    I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

    Student Picture

    Dana University of Pennsylvania ‘17, Course Hero Intern

  • Left Quote Icon

    The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

    Student Picture

    Jill Tulane University ‘16, Course Hero Intern