Unit 1 Post Test A Answers
... b. Write the equation of the line passing through those points c. Write the equation of the line parallel to the one you found in part (b) passing through (6, 1) d. Write the equation of the line perpendicular to the one you found in part (b) passing through (6, 1) e. Graph the equation of the line ...
... b. Write the equation of the line passing through those points c. Write the equation of the line parallel to the one you found in part (b) passing through (6, 1) d. Write the equation of the line perpendicular to the one you found in part (b) passing through (6, 1) e. Graph the equation of the line ...
High School Math Contest University of South Carolina December 8, 2007
... 10. The king took a cup filled with water and drank 1/5 of its contents. When the king looked away, the court jester refilled the cup by adding alcohol to the remaining water and then stirred. The king drank 1/4 of this liquid mixture. When the king looked away again, the court jester refilled the c ...
... 10. The king took a cup filled with water and drank 1/5 of its contents. When the king looked away, the court jester refilled the cup by adding alcohol to the remaining water and then stirred. The king drank 1/4 of this liquid mixture. When the king looked away again, the court jester refilled the c ...
1 - Amosam
... 1.1– RECURSIVE RELATIONS Sequence – a set of countable terms that have a definite relationship (finite or infinite) Recursive Relation - a relation where one or more initial values are known and a process is repeated to calculate the value at each subsequent stage using the values at one or more pre ...
... 1.1– RECURSIVE RELATIONS Sequence – a set of countable terms that have a definite relationship (finite or infinite) Recursive Relation - a relation where one or more initial values are known and a process is repeated to calculate the value at each subsequent stage using the values at one or more pre ...
Piecewise and Absolute Value Examples
... refrigerated foods is between 34 F and 40 F. Therefore, the temperature of a refrigerator may be within a 3-degree range of 37 F. Outside of this range, and food either begins to freeze or spoil. The situation can be represented with an absolute value function. Let t represent the temperature and d( ...
... refrigerated foods is between 34 F and 40 F. Therefore, the temperature of a refrigerator may be within a 3-degree range of 37 F. Outside of this range, and food either begins to freeze or spoil. The situation can be represented with an absolute value function. Let t represent the temperature and d( ...
Problem List 3
... The Euler function can be easily calculated using that φ(pk ) = pk −pk−1 for p prime, and φ(mn) = φ(m)φ(n) when m and n are relatively prime. Fermat’s theorem states that if a is relatively prime to n, then aφ(n) ≡ 1 (mod n). There is also the Chinese remainder theorem: if m and n are two relatively ...
... The Euler function can be easily calculated using that φ(pk ) = pk −pk−1 for p prime, and φ(mn) = φ(m)φ(n) when m and n are relatively prime. Fermat’s theorem states that if a is relatively prime to n, then aφ(n) ≡ 1 (mod n). There is also the Chinese remainder theorem: if m and n are two relatively ...
11 infinity
... Theorem: The set I of reals between 0 and 1 is not countable. Proof by contradiction: Suppose I is countable. Let f be the 1-1 onto function from N to I. Make a list L as follows: 0: decimal expansion of f(0) 1: decimal expansion of f(1) ...
... Theorem: The set I of reals between 0 and 1 is not countable. Proof by contradiction: Suppose I is countable. Let f be the 1-1 onto function from N to I. Make a list L as follows: 0: decimal expansion of f(0) 1: decimal expansion of f(1) ...
How To Think Like A Computer Scientist
... Theorem: The set I of reals between 0 and 1 is not countable. Proof by contradiction: Suppose I is countable. Let f be the 1-1 onto function from N to I. Make a list L as follows: 0: decimal expansion of f(0) 1: decimal expansion of f(1) ...
... Theorem: The set I of reals between 0 and 1 is not countable. Proof by contradiction: Suppose I is countable. Let f be the 1-1 onto function from N to I. Make a list L as follows: 0: decimal expansion of f(0) 1: decimal expansion of f(1) ...
