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Final Exam Studying Time!

  1. Nov 20, 2004 #1
    Since I'm studying for my final exam, I'm going to make you guys suffer. Any help would be appreciated in this. Here's the first one...

    Find the 40th term of the arithmetic knowing the general term a(n) = a(n-1) + 4 and first term a1 = 13.
     
  2. jcsd
  3. Nov 20, 2004 #2

    cAm

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    What class is this?

    (we just started that stuff in BC calculus :tongue2: )
     
  4. Nov 20, 2004 #3
    College Math 2.
     
  5. Nov 20, 2004 #4

    Astronuc

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    Staff: Mentor

    If I am reading this right, isn't a(40) = a(1) + 39 * 4 = 13 +156 = 169?

    or more generally, a(n) = a(1) + (n-1)*4
     
    Last edited: Nov 20, 2004
  6. Nov 20, 2004 #5
    That looks like it might be right. My friend said it was 159, but I think you've got it right.
     
  7. Nov 20, 2004 #6

    cAm

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    edit: nvm, being stupid. :yuck:
     
  8. Nov 20, 2004 #7
    I agree with Astronuc. Good luck studying with those finals. You have them so early? My physics 2/Linear Alg. finals are on my birthday in about 25 days :(
     
  9. Nov 20, 2004 #8
    Okay, so here's another one:

    A vector v has initial point P = (5, 2) and terminal point Q = (-3, -2). Find its position vector and write v in the form ai + bj.
     
  10. Nov 20, 2004 #9

    Astronuc

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    Staff: Mentor

    So vector to P is 5i + 2j and the vector to Q is -3i-2j, so take the difference.

    or what vector added to the vector to P would give you the one to Q.
     
  11. Nov 20, 2004 #10
    So would the final answer be 2i + 0j, which would be technically just 2i?
     
  12. Nov 20, 2004 #11

    Astronuc

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    Staff: Mentor

    5i + xi = -3i
    2j + yj = -2j
     
  13. Nov 20, 2004 #12
    So is xi = -8 and xj = -4?
     
  14. Nov 20, 2004 #13

    Astronuc

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    Staff: Mentor

    Yes, in the form ai + bj, a=-8, b=-4 or v = -8i -4j.
     
  15. Nov 20, 2004 #14
    Okay, here's another...

    What are the coordinates for graphing the equation y = sin 6 Ø by plotting points?
     
  16. Nov 21, 2004 #15
    Any help would be tremendously appreciated.
     
  17. Nov 21, 2004 #16

    ek

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    I wish I was taking your math class. That sounds like grade 11 math.

    Sigh.
     
  18. Nov 21, 2004 #17

    cAm

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    wouldn't you just take the points for the graph y=sinx and increase the 'x' coordinates by a factor of 6?
     
  19. Nov 22, 2004 #18
    Yeah, you're right. But I'm stiff baffled as to what coordinates are y=sinx.
     
  20. Nov 22, 2004 #19
    If I understand the equation correctly, the equation would be shrunk horizontally by a factor of 6. Either the question wants a graph of [tex]sin(6\Theta)[/tex] or maybe the critical points where the graph crosses the x axis. Don't you just love semantics?
     
  21. Nov 22, 2004 #20
    I hate math. :p
     
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