exam 3 ENT 300

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lacythecoolest
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310854
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exam 3 ENT 300
Updated:
2015-11-15 21:09:30
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engineering math
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3rd exam
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  1. The circuit video shows the complete solution of the DEQ and resulting plot of the solution, just like in the first video.
    false. It does not show a plot of the DEQ solution.
  2. The MKS units of voltage is
    Volt
  3. The MKS units of electrical current is
    Ampere
  4. The MKS units of resistance is
    Ohm
  5. The MKS units of inductance is
    Henry
  6. The MKS units of capacitance is
    Farad
  7. The DEQ for the electrical circuit has the dependent variable _____ and indepenent variable _____.
    capacitor voltage, time
  8. The DEQ for the electrical circuit is based on
    Kirchhoff's voltage law
  9. i(t)=v(t)/R is the current-voltage relationship for a(an)
    Resistor
  10. i(t)=C*V(t)' is the current-voltage relationship for a(an)
    Capacitor
  11. V(t)=L*i(t)' is the current-voltage relationship for a(an)
    Inductor
  12. The second video derives the voltage across the _____ as a function of time.
    Capacitor
  13. The sliding-mass video shows the solution of the DEQ using
    the calculator and also shows a plot of the position vs time
  14. the calculator and also shows a plot of the position vs time
    a differential equation based on Newton's second law
  15. Position is the integral of _____, assuming the appropriate constant of integration
    velocity
  16. Velocity is the rate of change of
    position
  17. Acceleration in F=m*a is
    • all of these
    • first derivative of the rate of change of position
    • second derivative of position - y'' rate of change (first derivative) of velocity - v'
  18. The mks unit of mass is ____ and acceleration is _____ in F=m*a is
    kilograms, meters/second^2
  19. The basic equation that describes the sliding mass is Newton's
    2nd law: F=m*a
  20. The free body diagram of the sliding mass contains _____ forces.
    2
  21. The damper force on the sliding mass is F =
    b * y' where b is the damper constant and y' is the speed
  22. The spring force on the sliding mass is F =
    k * y where y is the horizontal position and k is the spring constant
  23. The forces that act on the sliding mass are
    spring and damper
  24. The first video is about a mass sliding back and forth on a surface ____ friction. It is a top view. The mass is sliding horizontally.
    without
  25. Certain types of DEQs can the solved by using Laplace Transforms.
    true
  26. The calculator solutions of the DEQs in this quiz
    can all be solved the same way.
  27. Manual solutions of the DEQs typically
    require different solution methods.
  28. The solution of a DEQ usually
    is a function or family/combination of functions
  29. Is it true that a DEQ is any equation containing any number of derivatives or integrals?
    yes
  30. Eq 19 (ay"+by'+cy=d) is a DEQ of type
    2nd order linear with constant coefficients and RHS not zero
  31. Eq 18 (ay"+by'+cy=0) is a DEQ of type
    2nd order linear with constant coefficients and RHS zero
  32. Eq 17 (Py"+Qy'+Ry=S) is a DEQ of type
    general 2nd order linear
  33. Eq 16 (y'-Py=Qy^n) is a DEQ of type
    Bernouli
  34. Eq 15 (y'+Py=Q) is a DEQ of type
    1st order linear
  35. In Eq-14  M and N have the unique properties that are stated. M dx + N dy = 0 is a DEQ of type
    Homegeneous 1st order
  36. If either side of Eq-13 ((xdy-ydx)/(x^2+y^2)=d(tan-1(y/x))) occurs on one side of a DEQ, and the other side is integrable, then the DEQ is of type
    exact
  37. If either side of Eq-12 (d(x/y)=(ydx-xdy)/y^2) occurs on one side of a DEQ, and the other side is integrable, then the DEQ is of type
    exact
  38. If either side of Eq-11 (d(y/x)=(xdy-ydx)/x^2) occurs on one side of a DEQ, and the other side is integrable, then the DEQ is of type
    exact
  39. d(xy)= x*dy + y*dx. If (x*dy + y*dx) occurs on one side of DEQ, and the other side is integrable, then the DEQ is of type
    exact
  40. y''=8x is a DEQ of type
    2nd order separable
  41. y'=7x is the same as dy=7x dx and is a DEQ of type
    1st order separable
  42. Is y'' = (y')^2
    never
  43. In Eq-6 ((y')^2+y=3) the DEQ order is ___ and the degree is ____.
    1,2
  44. In Eq-5 (3y"+4y'+5y=8) the DEQ order is ___ and the degree is ____.
    2,1
  45. In Eq-4 (Dy+2x=3) the DEQ order is ___ and the degree is ____.
    1,1
  46. In Eq-3 (y'+3xy=5)  the DEQ order is ___ and the degree is ____.
    1,1
  47. Eq-2 shows different ways of writing derivative with respect to x.
    true and is second order
  48. Equation-1 in Figure 9065A shows different ways of writing derivative with respect to x
    true and is first order
  49. Is y''=4/x separable, exact, 1st order linear, Bernouli DEQ?
    yes, no, no, no
  50. Is y'+y/x=-40x*y^2 separable, exact, 1st order linear, Bernouli DEQ?
    no, no, no, yes
  51. Is y'+x*y=83x separable, exact, 1st order linear, Bernouli DEQ?
    yes, no, yes, no
  52. Is y'+y/x=83x separable, exact, 1st order linear, Bernouli DEQ?
    no, yes, yes, no
  53. Almost all the manual work in finding DEQ solutions is in
    the algebra
  54. The type of DEQ that permits the easiest manual solution
    variables can be separated
  55. y*dx+x*dy is equivalent to ____ and may yield an exact DEQ. 
    * d(y/x)
    * d(x/y)
    * d(x*y)
    d(x*y)
  56. (y*dx-x*dy)/y^2 is equivalent to ____ and may yield an exact DEQ.
    * d(y/x)
    * d(x/y)
    * d(x*y)
    d(x/y)
  57. (x*dy-y*dx)/x^2 is equivalent to ____ and may yield an exact DEQ.
    * d(y/x)
    * d(x/y)
    * d(x*y)
    d(y/x)
  58. Constants of integration can be determined if ______ are known.
    boundary conditions
  59. The DEQ 5x+y-yy'=0 will have _____ constants of integration.
    1
  60. ln(A) + ln(B) =
    ln(A*B)
  61. C is the constant of integration. Replacing 9C with C is ok because C is
    an unknown constant
  62. If y=v*x, then dy=
    v*dx+x*dv
  63. The homogeneous DEQ (5x+y)dx + (-y)dy = 0 can be manually solved if the substitution is introduced
    y=v*x
  64. Is xy homogeneous? Is x*y^2 homogeneous?
    yes, no
  65. If the DEQ M dx + N dy =0 where M & N are functions of x & y and M & N are homogeneous of the same degree, then the DEQ is
    homogeneous
  66. The DEQ (5x+y)dx + (-y)dy = 0 is in the form
    M dx + N dy =0
  67. Is the DEQ 5x+y-yy'=0 equivalent to: (5x+y)dx + (-y)dy = 0?
    yes
  68. The following homogeneous DEQ can be recognized if put into this form
    (5x+y)dx + (-y)dy = 0
  69. The slope of a solution of the DEQ (y'=x-y^2) that passes through (2,1) is
    1
  70. The type of nonlinearity that limits the output signal when the input signal becomes too large or too small is called
    saturation
  71. The classic mass-spring-damper model is
    linear and yields manual and TI-89 solutions
  72. The type of nonlinearity that has a one response when going up and a different response when going down is called
    hysteresis
  73. The solution of a DEQ is a
    function
  74. The DEQ (y'=x-y^2) has been used for the past few HW exercises because
  75. numerical integration is the only way to find the solution y(x)
    • and
    • elementary functions do not exist to describe y(x)
  76. The slope of a solution of the 1st-order DEQ (y'=x-y^2) is x-y^2 where x and y defines any point within the field.
    true
  77. The slope of a solution of the DEQ (y'=x-y^2) that passes through (1,2) is
    -3
  78. The DEQ (y'=x-y^2) has no standard solution, but slope fields are easily computed, and slope fields permit visualization of all solutions.
    true
  79. The type of nonlinearity that has zero output signal when the input signal is near zero is called
    dead zone
  80. One way of visualizing many solutions of a DEQ, all in one graph is called
    slope field
  81. The solution of a DEQ depends on the starting point, which is also called
    boundary condition
  82. Linear models are used in engineering because they give
    • solutions that are relatively easy to calculate.
    • and
    • a reasonable understanding of real engineering systems.
  83. Numerical integration is required in the linear mass-spring-damper problem
    false
  84. Numerical integration is common in engineering, especially for
    nonlinear models, which can accurately model real systems
  85. How may different solutions exist for any DEQ?
    infinite
  86. Numerical integration is required when non-linearities are inserted into the linear mass-spring-damper problem.
    true

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