# ENT exam I

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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
 Author: lacythecoolest ID: 312263 Card Set: ENT exam I Updated: 2015-11-30 18:16:21 Tags: engineering Folders: Description: redo of the first exam Show Answers: