Sphere - Analytic Geometry and Calculus - Solved Exam, Exams of Analytical Geometry and Calculus

These are the Solved Exam of Analytic Geometry and Calculus which includes Substitution, Integral, Means, Improper Integral, Converges or Diverges etc. Key important points are: Sphere of Redius, Statements, Three Dimensional Vectors, Triangle, Vertices, Area, Sphere of Redius, Positive Cnstant, Equation, Region Bounded

Typology: Exams

2012/2013

Uploaded on 02/12/2013

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MA 166 EXAM 1 Spring 2005 Page 1/4 name__GRADING KEY Page 1 /12 STUDENT ID Page 2 /36 RECITATION INSTRUCTOR Page 3 [28 Page 4 /24 RECITATION TIME oo TOTAL /100 DIRECTIONS 1. Write your name, student ID number, recitation instructor’s name and recitation time in the space provided above. Also write your name at the top of pages 2, 3, and 4. 2. The test has four (4) pages, including this one. 3. Write your answers in the boxes provided. 4. You must show sufficient work to justify all answers. Correct answers with inconsistent work may not be given credit. . Credit for each problem is given in parentheses in the left hand margin. . No books, notes or calculators may be used on this test. oa (6) 1. Find an equation of the sphere that passes through the origin and whose center is (1,2, 3). Tadiue = (iran +3* = J g @ 2 a pa no cvedit if net a sphere -1) + (y-2) + (2-2) =(¢ (6) 2Wa@=i-j+ k, find a vector 6 whose length is 5 and whose direction is the same as that of @. jg|=(Prcoee =e @ ao J J — 6 - unt vedere via direction of a ts ial a cad pesd= 22 i BT ~ py pk ? ~ t -<£-& - gi -girek © ><, %, @