ENT exam I

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lacythecoolest
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312263
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ENT exam I
Updated:
2015-11-30 13:16:21
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engineering
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redo of the first exam
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  1. y(x) = M*x + B. The slope of the line normal to y(x) is
    -1/M
  2. What means the same as "perpendicular"?
    normal
  3. (d/dx)( h(x) / g(x) ) =
    (h'*g - h*g') / g^2
  4. (d/dx)( a*h(x) + b*g(x) ) =
    a*h'(x) + b*g'(x)
  5. (d/dx)( h(x) + g(x) ) =
    exp(x)
  6. e=2.718 and e^1 and exp(1) all mean the same thing
    true
  7. h'(x) = g(x) and h(x)=cos(x), g(x)=
    -sin(x)
  8. h'(x) = g(x) and h(x)=sin(x), g(x)=
    cos(x)
  9. h'(x) = g(x) and h(x)=x^n. g(x)=
    n*x^(n-1)
  10. The dependent variable in y(x) is
    y
  11. The independent variable in y(x) is
    x
  12. The slope of y at x=x1 is
    • (d/dx)y(x) | x=x1
    • y' | x=x1
    •  y'(x1)
  13. The value of y at x=x1 is
    y(x1)
  14. y' and y'(x) and (d/dx)y(x) and dy(x)/dx and dy/dx all mean the same thing.
    true
  15. All of the following are equivalent. The best way to verbalize _____ is y-prime.
    y'
  16. All of the following are equivalent. The best way to verbalize _____ is y-prime of x.
    y'(x)
  17. All of the following are equivalent. The best way to verbalize _____ is derivative with respect to x of y.
    (d/dx)y(x)
  18. All of the following are equivalent. The best way to verbalize _____ is derivative of y with respect to x.
    dy(x)/dx
  19. All of the following are equivalent. The best way to verbalize _____ is (dee-y buy dee-x) or (dee-y dee-x).
    dy/dx
  20. Given two points on a function, the slope between those two points is
    rise/run
  21. Derivative operator is a _______ operator
    slope
  22. The derivative of a function is a function
    true
  23. The derivative of a function that has a constant value is
    another function whose constant value is zero
  24. The derivative of a contant is
    not defined
  25. The angle theta is the same as
    • all of these
    • theta - 360 deg
    • theta + 360 deg
    • theta + 2*pi
    • theta - 2*pi
  26. If an angle has units of degrees, then the degree unit ____ be written, because radians will be assumed otherwise.
    must
  27. Any angle given without units is ALWAYS
    radians
  28. The sine function
    pops out of nature
  29. Time of 1 second is _____ ms
    • all of these 
    • 1000
    • 1,000,000E-3
    • 1E3
  30. me of 123456 us is _____ seconds
    0.123456
  31. Time of 123 ms is _____ seconds
    0.123
  32. sin(x) = cos(x _____)
    -pi/2
  33. cos(x) = sin(x _____)
    +pi/2
  34. y=A*sin(w*t + theta) + B, B is _____ shift, measured with same unit as ______.
    vertical, A
  35. y=A*sin(w*t + theta), theta is _____, measured in ______.
    phase shift (or angle), degrees or radians
  36. . y=A*sin(2*pi*f*t), f is
    1/T
  37. y=A*sin( t * 2 * pi / T ), T is ______ measured in ______.
    periods/seconds
  38. y=A*sin(2*pi*f*t), f is frequency
    cycles/second or Hertz
  39. y=A*sin(w*t), w is
    2*pi*f
  40. y=A*sin(w*t), t is _____ and w is _____.
    time in seconds, frequency in radians/second
  41. y=A*sin(x), A is
    amplitude
  42. _____ is unitless because it is defined as arc length / radius
    radian
  43. The unit of sin(x) is
    none
  44. pi radians is ____ degrees
    180
  45. y=sin(x), x can be _____, but without units is always _____.
    radians or degrees, radians
  46. Engineering technology students know that Euler's identity (e^(i*pi)+1=0) is easy to understand, because e^(i*pi) is a complex number in polar form and is equal to -1.
    true
  47. Some say that Euler's identity (e^(i*pi)+1=0) is so mysterious that it can hardly be comprehended.
    true
  48. Euler's identity (e^(i*pi)+1=0) contains all the special numbers: 0, 1, e, i, and pi, and has been called the most profound equation in all of mathematics.
    true
  49. AC voltage of 5*exp(0.927i) has an phase of
    0.927 radians
  50. AC voltage of 5*exp(i53.13 deg) has an amplitude of
    5 volts
  51. sin(z), cos(z), tan(z), ln(z), log(z) are defined when z is a complex number
    true
  52. exp(i*z) is the same as
    cos(z)+i*sin(z), which is know as Euler's formula
  53. Complex numbers can be
    • all of these
    • multiplied and divided
    • added and subtracted
    • raised to powers
    • placed in matrices
  54. The sum of 3 and i4 has an angle of
    • both of these
    • 0.927 radians 
    • 53.13 degrees
  55. The sum of 3 and 4i is
    • both of these  
    • exp(0.927i)*5
    • 5*exp(0.927i)
  56. exp(-i*pi/2)*3=e^(-i*pi/2)*3 is a complex number in polar form and is also
    • 3
    • -3i
    • 3i
    • -3
  57. exp(-i*pi)*2=e^(-i*pi)*2 is a complex number in polar form and is also
    • 2i
    • 2
    • -2
    • -2i
  58. exp(i*pi)*1=e^(i*pi)*1 is a complex number in polar form and is the same as
    • 1
    • -1
    • -i
    • I
  59. exp(1)=e^(1) is known as Euler's number and is
    2.71828
  60. The angle (radians) of the sum of 3 and i4 is
    • 3+i4
    • 7
    • 5
    • 0.9273
  61. The magnitude of the sum of 3 and i4 is
    • 7
    • 5
    • 3+i4
    • sqrt(3^2+(4i)^2)
  62. The sum of 3 and 4i is
    • 5
    • 3+i4
    • sqrt(3^2+4^2)
    • 7
  63. The angle of 3+i4 is
    53.13 deg
  64. The magnitude of 3+i4 is
    • 53.13 deg
    • 3
    • 5
    • 4
  65. 53.13 deg 3 5 4
    • 53.13 deg
    • 5
    • 3
    • 4
  66. The real part of 3+i4 is
    • 3
    • 5
    • i4
    • 4
  67. The number (3+i4) is an example of a _______ number in rectangular form.
    complex
  68. Complex numbers
    are frequently used in electrical engineering
  69. A complex number is
    like a 2D vector
  70. i^4 is
    • -1
    • 1
    • -i
    • I

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