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### m230_quiz1

Course: MATH 230, Spring 2008
School: Penn State
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quiz Math230 No. 1 , Sep. 08, Name: , Student ID: (1) Show that the equation represents a sphere, and nd its center and x radius: 2 + y 2 + z 2 = 4x 2 y (2) Let =&lt; 6, 2, 3 &gt;, b =&lt; 1, 5, 2 &gt;, nd | | and 3 2 b . a a a 1

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Penn State - MATH - 230
Math230 quiz No. 1 , Sep. 08, Name:, Student ID:(1) Show that the equation represents a sphere, and nd its center and radius: x 2 + y 2 + z 2 = 4x 2 y Solution: Rewrite the equation in the following form (x2 4x) + (y 2 + 2y ) + z 2 = 0 Then, by
Penn State - MATH - 230
4Section 13.4 Cross product: =&lt; a1 , a2 , a3 &gt;, b =&lt; b1 , b2 , b3 &gt;, a =&lt; a b a b , a b b a , a b a b &gt; a b 23 32 31 31 12 21 Determinant formula: = a b Properties: = , = , = 0 a a 0a b b aa b a b Area of par
Penn State - MATH - 230
Math230 quiz No. 2 , Sep. 15, Name:, Student ID:Announcement: Midterm I: Thursday, Oct.05, 2006, 6:30-7:45PM 102 Forum. (1) (2 points) Find the volume of the parallelepiped determined by the vectors , b , and : a c =&lt; 6, 3, 1 &gt;, =&lt; 0, 1,
Penn State - MATH - 230
6Section 13.6 Cylinders = surface of all lines parallel to a given line L through a given curve C . Example1: y = x2 . Example2: x2 + y 2 = 1. ellipsoid: y2 z2 x2 + 2 + 2 =1 a2 b c z2 x2 y2 = 2+ 2 2 c a b z x2 y2 = 2+ 2 c a b cone: paraboloid
Penn State - MATH - 230
Math230 quiz No. 3 , Sep. 22, Name:, Student ID:Announcement: Midterm I: Thursday, Oct.05, 2006, 6:30-7:45PM 102 Forum. (1) (2 points) Describe and sketch the surface: x2 y 2 = 1(2) (3 points) Change from rectangular to spherical coordinates.
Penn State - MATH - 230
Penn State - MATH - 230
8Section 14.1 Vector function: (t) =&lt; f (t), g (t), h(t) &gt; rwhere f, g, h are component functions. Parametric equations of a space curve C : x = f (t) = (t) =&lt; x, y, z &gt; y = g ( t) r r z = h( t ) Limit of a vector function:ta lim
Penn State - MATH - 230
Math230 quiz No. 4 , Sep. 28, Name:, Student ID:Announcement: Midterm I: Next Thursday, Oct.05, 2006, 6:30-7:45PM 102 Forum. (1) (2 points) Find a vector equation and parametric equations for the line segment that joints P and Q: P (2, 4, 0), Q(6
Penn State - MATH - 230
Penn State - MATH - 230
Penn State - MATH - 230
Math230 Take home quiz No. 6, Oct.20, Name:, StudentID:(1) ( 2 points) Find the first partial derivative\$ of the function:(2) ( 3 p oints) Find the equation of the tangent plane to the given surface a t the specified point.
Penn State - MATH - 230
Math 230 Complementary to the Course Syllabus Instructor: Bin Zheng Contact Info: My oce is 10, McAllister Building, Oce Hour: MWF 02:20PM-03:20PM. The best way to reach me is through E-mail. My E-mail address is zheng@math.psu.edu Homework: Some od
Penn State - MATH - 230
Penn State - MATH - 230
Penn State - MATH - 230
Penn State - MATH - 230
Penn State - MATH - 230
Penn State - MATH - 230
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A summary(text P )165Logic operators that take bool operands and produce a bool value Conditional OR(|), AND(&amp;) and NOT(!) 2. Structures to make choice if-else, switch 3. Loop structures for, do-while, compare do-while to while. 4. Additional d
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Arrays Arrays allow us to refer to large collections ofelements conveniently. An array variable refers to the array.double[] a = {-1.0, 4.5, 0.5};a a[0] a[1] a[2] -1.0 4.5 0.5Declare and use an array Declare an arrayint[] x; /declare varia
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To-do ReviewMembers in class definition Object creation ArrayClasses Name the class members you know about variables (i.e. fields)instance variables, class variables (with keyword static) A special kind of method A constructor is calle
University of Iowa - TA - 016
Arrays Arrays allow us to refer to large collections ofelements conveniently. An array variable refers to the array.double[] a = {-1.0, 4.5, 0.5};a a[0] a[1] a[2] -1.0 4.5 0.5Declare and use an array Declare an arrayint[] x; /declare varia
University of Iowa - TA - 016
To-do Recursion exercises RecallPolymorphism Exception handling Windows-based applicationsRecursion - xn Write a method power(x,n) which returns xnBase case: xn = x, if n = 1; Recursive cases: xn = x xn-1, if n&gt;1Recursion - digits
University of Iowa - TA - 016
Recursion State the problem recursively A well-defined base case A recursive call that guarantees a smaller problemand eventually leads to the base case.If no base case specified, or you never reach the base case, youll have infinite recursio
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Solutions to quiz 4.1. Write a class to describe a rational number, i.e., a ratio of two integers. Name the class RationalNumber and include two instance variables called numerator and denominator. Include a constructor that initializes the two inst
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