Math 3

The flashcards below were created by user RJVan on FreezingBlue Flashcards.

  1. Identify which is the sine wave, which is the cosine wave.
    Image Upload
    Image Upload
  2. What is the equation for the area of an ellipse?
    • chart?chf=bg,s,00000000&cht=tx&chl=A%3D%5Cpi%20%5Ccdot%20a%5Ccdot%20b&chs=156x30 
    • Where a & b are the "radii".
  3. What is the equation for the perimeter of an ellipse?
    chart?chf=bg,s,00000000&cht=tx&chl=p%3D2%5Cpi%5Csqrt%7B%5Cfrac%7B1%7D%7B2%7D(a%5E2%2Bb%5E2)%7D&chs=288x82
  4. ln2(8)=?
    ln2(8)=3
  5. chart?chf=bg,s,00000000&cht=tx&chl=%5Clog%20%5Cleft(%5Cfrac%7Bx%7D%7By%7D%20%5Cright)%3D%3F&chs=160x62
    chart?chf=bg,s,00000000&cht=tx&chl=log%20%5Cleft(%20%5Cfrac%7Bx%7D%7By%7D%20%5Cright)%3Dlog(x)-log(y)&chs=362x62
  6. log(xa)=?
    log(xa)=a log(x)
  7. Given
    chart?chf=bg,s,00000000&cht=tx&chl=a%3De%5E%7Bbt%7D&chs=100x30
    solve for t.
    chart?chf=bg,s,00000000&cht=tx&chl=t%3D%5Cfrac%7B%5Cln%7Ba%7D%7D%7Bb%7D&chs=112x68
  8. ln(e)=?
    ln(e)=1
  9. e=?
    e≃2.7183
  10. logb(1)=?
    logb(1)=0
  11. logb(b)=?
    logb(b)=1
  12. What is the volume of a sphere?
    chart?chf=bg,s,00000000&cht=tx&chl=V%3D%5Cfrac%20%7B4%7D%7B3%7D%20%5Cpi%20r%5E3&chs=150x66chart?chf=bg,s,00000000&cht=tx&chl=%3D%5Cfrac%7B%5Cpi%7D%7B6%7Dd%5E3&chs=94x58
  13. What is the quadratic equation?
    chart?chf=bg,s,00000000&cht=tx&chl=x%3D%5Cfrac%7B-b%20%5Cpm%20%5Csqrt%7Bb%5E2-4ac%7D%7D%7B2a%7D&chs=262x88
  14. Image Upload

    A. chart?chf=bg,s,00000000&cht=tx&chl=%5Ccos%20%5Cth_%7BA%2Cx%7D%3D%5Cfrac%7B5%7D%7B13.0%7D&chs=208x66
    B. chart?chf=bg,s,00000000&cht=tx&chl=%5Ccos%20%5Cth_%7BA%2Cx%7D%3D%5Cfrac%7B13.0%7D%7B5%7D&chs=208x66
    C. chart?chf=bg,s,00000000&cht=tx&chl=%5Ccos%20%5Cth_%7BA%2Cx%7D%3D%5Cfrac%7B13.0%7D%7B12%7D&chs=204x64
    D. chart?chf=bg,s,00000000&cht=tx&chl=%5Ccos%20%5Cth_%7BA%2Cx%7D%3D%5Cfrac%7B12%7D%7B13.0%7D&chs=204x64
    A. chart?chf=bg,s,00000000&cht=tx&chl=%5Ccos%20%5Cth_%7BA%2Cx%7D%3D%5Cfrac%7B5%7D%7B13.0%7D&chs=208x66

    Image Upload
    (this multiple choice question has been scrambled)
  15. Image Upload
    A. chart?chf=bg,s,00000000&cht=tx&chl=%5Ccos%20%5Cth_%7BB%2Cy%7D%3D%5Cfrac%7B-8%7D%7B11.31%7D&chs=218x66
    B. chart?chf=bg,s,00000000&cht=tx&chl=%5Ccos%20%5Cth_%7BB%2Cy%7D%3D%5Cfrac%7B8%7D%7B11.31%7D&chs=218x66
    C. chart?chf=bg,s,00000000&cht=tx&chl=%5Ccos%20%5Cth_%7BB%2Cy%7D%3D%5Cfrac%7B0%7D%7B11.31%7D&chs=218x66
    D. chart?chf=bg,s,00000000&cht=tx&chl=%5Ccos%20%5Cth_%7BB%2Cy%7D%3D%5Cfrac%7B-4%7D%7B11.31%7D&chs=218x66
    A. chart?chf=bg,s,00000000&cht=tx&chl=%5Ccos%20%5Cth_%7BB%2Cy%7D%3D%5Cfrac%7B-8%7D%7B11.31%7D&chs=218x66

    Image Upload
    (this multiple choice question has been scrambled)
  16. Image Upload
    A. chart?chf=bg,s,00000000&cht=tx&chl=%5Ccos%20%5Cth_%7BC%2Cz%7D%3D%5Cfrac%7B4%7D%7B10.05%7D&chs=222x66
    B. chart?chf=bg,s,00000000&cht=tx&chl=%5Ccos%20%5Cth_%7BC%2Cz%7D%3D%5Cfrac%7B-4%7D%7B10.05%7D&chs=222x66
    C. chart?chf=bg,s,00000000&cht=tx&chl=%5Ccos%20%5Cth_%7BC%2Cz%7D%3D%5Cfrac%7B6%7D%7B10.05%7D&chs=222x66
    D. chart?chf=bg,s,00000000&cht=tx&chl=%5Ccos%20%5Cth_%7BC%2Cz%7D%3D%5Cfrac%7B-7%7D%7B10.05%7D&chs=220x66
    C. chart?chf=bg,s,00000000&cht=tx&chl=%5Ccos%20%5Cth_%7BC%2Cz%7D%3D%5Cfrac%7B6%7D%7B10.05%7D&chs=222x66

    Image Upload
    (this multiple choice question has been scrambled)
  17. Image Upload
    A. chart?chf=bg,s,00000000&cht=tx&chl=%5Ccos%20%5Cth_%7BC%2Cy%7D%3D%5Cfrac%7B-7%7D%7B10.05%7D&chs=222x66
    B. chart?chf=bg,s,00000000&cht=tx&chl=%5Ccos%20%5Cth_%7BC%2Cy%7D%3D%5Cfrac%7B-4%7D%7B10.05%7D&chs=224x66
    C. chart?chf=bg,s,00000000&cht=tx&chl=%5Ccos%20%5Cth_%7BC%2Cy%7D%3D%5Cfrac%7B6%7D%7B10.05%7D&chs=224x66
    D. chart?chf=bg,s,00000000&cht=tx&chl=%5Ccos%20%5Cth_%7BC%2Cy%7D%3D%5Cfrac%7B7%7D%7B10.05%7D&chs=222x66
    A. chart?chf=bg,s,00000000&cht=tx&chl=%5Ccos%20%5Cth_%7BC%2Cy%7D%3D%5Cfrac%7B-7%7D%7B10.05%7D&chs=222x66

    Image Upload
    (this multiple choice question has been scrambled)
  18. How do you solve
    chart?chf=bg,s,00000000&cht=tx&chl=x%5En%3Dy&chs=102x34
    for n, if x and y are given?
    chart?chf=bg,s,00000000&cht=tx&chl=%5Cln%20(x%5En)%20%3D%20%5Cln%20(y)&chs=212x38

    chart?chf=bg,s,00000000&cht=tx&chl=n%5Cln%20x%20%3D%20%5Cln%20y&chs=188x36

    chart?chf=bg,s,00000000&cht=tx&chl=n%3D%5Cfrac%7B%5Cln%20y%7D%7B%5Cln%20x%7D&chs=120x74
  19. What is the correct way to expand this matrix by co-factors?

    chart?chf=bg,s,00000000&cht=tx&chl=A%3D%5Cbegin%7Bbmatrix%7D%208%262%260%260%5C%5C%202%268%262%260%5C%5C%200%262%268%262%5C%5C%200%260%262%264%20%5Cend%7Bbmatrix%7D&chs=214x122
    A. chart?chf=bg,s,00000000&cht=tx&chl=-8%5Cbegin%7Bvmatrix%7D%202%262%260%5C%5C%200%262%262%5C%5C0%260%262%5Cend%7Bvmatrix%7D&chs=150x88chart?chf=bg,s,00000000&cht=tx&chl=%2B8%5Cbegin%7Bvmatrix%7D%202%260%260%5C%5C%200%262%262%5C%5C0%260%262%5Cend%7Bvmatrix%7D&chs=152x88chart?chf=bg,s,00000000&cht=tx&chl=-8%5Cbegin%7Bvmatrix%7D%202%260%260%5C%5C%202%262%260%5C%5C0%260%262%5Cend%7Bvmatrix%7D&chs=150x88chart?chf=bg,s,00000000&cht=tx&chl=%2B4%5Cbegin%7Bvmatrix%7D%202%260%260%5C%5C%202%262%260%5C%5C0%262%262%5Cend%7Bvmatrix%7D&chs=154x88
    B. chart?chf=bg,s,00000000&cht=tx&chl=8%5Cbegin%7Bvmatrix%7D%208%262%260%5C%5C%202%268%262%5C%5C0%262%264%5Cend%7Bbmatrix%7D&chs=120x88chart?chf=bg,s,00000000&cht=tx&chl=-2%5Cbegin%7Bvmatrix%7D%202%260%260%5C%5C%202%268%262%5C%5C0%262%264%5Cend%7Bbmatrix%7D&chs=150x88chart?chf=bg,s,00000000&cht=tx&chl=%2B0%5Cbegin%7Bvmatrix%7D%202%260%260%5C%5C%208%262%260%5C%5C0%262%264%5Cend%7Bbmatrix%7D&chs=152x88chart?chf=bg,s,00000000&cht=tx&chl=-0%5Cbegin%7Bvmatrix%7D%202%260%260%5C%5C%208%262%260%5C%5C2%268%262%5Cend%7Bbmatrix%7D&chs=150x88
    C.chart?chf=bg,s,00000000&cht=tx&chl=-8%5Cbegin%7Bvmatrix%7D%208%262%260%5C%5C%202%268%262%5C%5C0%262%264%5Cend%7Bvmatrix%7D&chs=150x88chart?chf=bg,s,00000000&cht=tx&chl=%2B2%5Cbegin%7Bvmatrix%7D%202%260%260%5C%5C%202%268%262%5C%5C0%262%264%5Cend%7Bvmatrix%7D&chs=152x88chart?chf=bg,s,00000000&cht=tx&chl=-0%5Cbegin%7Bvmatrix%7D%202%260%260%5C%5C%208%262%260%5C%5C0%262%264%5Cend%7Bvmatrix%7D&chs=150x88chart?chf=bg,s,00000000&cht=tx&chl=%2B0%5Cbegin%7Bvmatrix%7D%202%260%260%5C%5C%208%262%260%5C%5C2%268%262%5Cend%7Bvmatrix%7D&chs=152x88
    D. chart?chf=bg,s,00000000&cht=tx&chl=8%5Cbegin%7Bvmatrix%7D%202%262%260%5C%5C%200%262%262%5C%5C0%260%262%5Cend%7Bvmatrix%7D&chs=120x88chart?chf=bg,s,00000000&cht=tx&chl=-8%5Cbegin%7Bvmatrix%7D%202%260%260%5C%5C%200%262%262%5C%5C0%260%262%5Cend%7Bvmatrix%7D&chs=150x88chart?chf=bg,s,00000000&cht=tx&chl=%2B8%5Cbegin%7Bvmatrix%7D%202%260%260%5C%5C%202%262%260%5C%5C0%260%262%5Cend%7Bvmatrix%7D&chs=152x88chart?chf=bg,s,00000000&cht=tx&chl=-4%5Cbegin%7Bvmatrix%7D%202%260%260%5C%5C%202%262%260%5C%5C0%262%262%5Cend%7Bvmatrix%7D&chs=152x88
    B. chart?chf=bg,s,00000000&cht=tx&chl=8%5Cbegin%7Bvmatrix%7D%208%262%260%5C%5C%202%268%262%5C%5C0%262%264%5Cend%7Bvmatrix%7D&chs=120x88chart?chf=bg,s,00000000&cht=tx&chl=-2%5Cbegin%7Bvmatrix%7D%202%260%260%5C%5C%202%268%262%5C%5C0%262%264%5Cend%7Bvmatrix%7D&chs=150x88chart?chf=bg,s,00000000&cht=tx&chl=%2B0%5Cbegin%7Bvmatrix%7D%202%260%260%5C%5C%208%262%260%5C%5C0%262%264%5Cend%7Bvmatrix%7D&chs=152x88chart?chf=bg,s,00000000&cht=tx&chl=-0%5Cbegin%7Bvmatrix%7D%202%260%260%5C%5C%208%262%260%5C%5C2%268%262%5Cend%7Bvmatrix%7D&chs=150x88
    (this multiple choice question has been scrambled)
  20. How would you solve this for x?

    chart?chf=bg,s,00000000&cht=tx&chl=%5Cbegin%7Bbmatrix%7D%201%26%261%26%260%5C%5C%201%26%260%26%261%5C%5C%203%26%26-1%26%262%20%5Cend%7Bbmatrix%7D&chs=164x90 chart?chf=bg,s,00000000&cht=tx&chl=%5Cbegin%7Bbmatrix%7D%20.%5C%5C%20x%5C%5C%20y%5C%5C%20z%5C%5C%20.%20%5Cend%7Bbmatrix%7D&chs=56x86 = chart?chf=bg,s,00000000&cht=tx&chl=%5Cbegin%7Bbmatrix%7D%20-4%5C%5C%201%5C%5C%204%20%5Cend%7Bbmatrix%7D&chs=76x90
    chart?chf=bg,s,00000000&cht=tx&chl=x%3D%5Cfrac%7BA_1%7D%7BA%7D&chs=100x72 

    where

    • chart?chf=bg,s,00000000&cht=tx&chl=A%3D%20%5Cbegin%7Bbmatrix%7D%201%26%261%26%260%5C%5C%201%26%260%26%261%5C%5C%203%26%26-1%26%262%20%5Cend%7Bbmatrix%7D&chs=232x90
    • chart?chf=bg,s,00000000&cht=tx&chl=A_1%3D%20%5Cbegin%7Bbmatrix%7D%20-4%26%261%26%260%5C%5C%201%26%260%26%261%5C%5C4%26%26-1%26%262%20%5Cend%7Bbmatrix%7D&chs=276x90
  21. What would the matrix set-up look like for solving these equations using Cramer's Rule?
    chart?chf=bg,s,00000000&cht=tx&chl=x%2By%3D-4&chs=166x36
    chart?chf=bg,s,00000000&cht=tx&chl=x%2Bz-1%3D0&chs=178x30
    chart?chf=bg,s,00000000&cht=tx&chl=2z-y%2B3x%3D4&chs=226x36
    • chart?chf=bg,s,00000000&cht=tx&chl=x%2By%2B0z%20%3D%20-4&chs=240x36
    • chart?chf=bg,s,00000000&cht=tx&chl=x%2B0y%2Bz%3D1&chs=208x36
    • chart?chf=bg,s,00000000&cht=tx&chl=3x-y%2B2z%3D4&chs=226x36

    chart?chf=bg,s,00000000&cht=tx&chl=%5Cbegin%7Bbmatrix%7D%201%26%261%26%260%5C%5C%201%26%260%26%261%5C%5C%203%26%26-1%26%262%20%5Cend%7Bbmatrix%7D&chs=164x90chart?chf=bg,s,00000000&cht=tx&chl=%5Cbegin%7Bbmatrix%7D%20x%5C%5C%20y%5C%5C%20z%20%5Cend%7Bbmatrix%7D&chs=46x68chart?chf=bg,s,00000000&cht=tx&chl=%3D%5Cbegin%7Bbmatrix%7D%20-4%5C%5C%201%5C%5C%204%20%5Cend%7Bbmatrix%7D&chs=110x90
Author:
RJVan
ID:
306620
Card Set:
Math 3
Updated:
2016-04-07 21:02:25
Tags:
differential integral calculus trigonometry algebra
Folders:
Mechanical Engineering
Description:
Mechanical Professional Engineering Exam Review
Show Answers: