Pascal triangle - Study guides, Class notes & Summaries

MATH 3326 Quiz for Final Exam Review, History of Mathematics: Covers chapters 1-6 Nicole Oresme (1320-1382) Elementary proof of divergence of harmonic series. Nicolo Tartaglia (1499-1557) Formula for solving cubic equations. Gerolamo Cardano (1501-1576) Publishing formulas for solving cubic and quartic equations which were done by other mathematicians. Francois Viète (1540-1603) Formula connecting the roots and coefficients of polynomials John Napier (1550-1617) Invention of logarit...

MATH 3326 Quiz for Final Exam Review, History of Mathematics: Covers chapters 1-6 Nicole Oresme () Elementary proof of divergence of harmonic series. Nicolo Tartaglia () Formula for solving cubic equations. Gerolamo Cardano () Publishing formulas for solving cubic and quartic equations which were done by other mathematicians. Francois Viète () Formula connecting the roots and coefficients of polynomials John Napier () Invention of logarithms Bonaventura Cavalieri () A principle to...

MATH 3326 Quiz for Final Exam Review, History of Mathematics: Covers chapters 1-6 Nicole Oresme () Elementary proof of divergence of harmonic series. Nicolo Tartaglia () Formula for solving cubic equations. Gerolamo Cardano () Publishing formulas for solving cubic and quartic equations which were done by other mathematicians. Francois Viète () Formula connecting the roots and coefficients of polynomials John Napier () Invention of logarithms Bonaventura Cavalieri () A principle to...

Pascal's Triangle - correct answer The binomial expansion uses Pascal's triangle for the corresponding coefficient for each row that corresponds to the number that the expansion term is raised to. Binomial Theorem - correct answer (a+b)ⁿ = aⁿ + nC₁ aⁿ⁻¹b +...+ nCr a∧(n-r)b^r +...+ bⁿ Binomial Expansion - correct answer (a+b)⁰= 1 (a+b)¹= 1a+1b (a+b)²=1a²...

What is the Binomial Theorem? - correct answer A formula for finding any power of a binomial without multiplying at length. n! - correct answer n! = 1 ‧ 2 ‧ 3... (n-2)‧(n-1)n ex: 4! = (4-2)‧(4-1)4 = 2‧3‧4 =24 How do you find the next row in the Pascal's Triangle? - correct answer Addition. Each number is the number directly about it added together. What is the ...

^m)ⁿ = - answer-a^mn (ab)ⁿ = - answer-aⁿbⁿ (n+1)th row of Pascal's triangle gives the - answer-coefficients in the expansion of (a+b)^c √a/b = - answer-√a / √b √ab = - answer-√a x √b A decreasing function will have - answer-a negative gradient at a specific point or over a specific range of points. A definite integral usually produces a - answer-value A point P with coordinates (p, q) has a position vector - answer-- OP = pi + qj + (p q) - AB = OB - O...

What are the first ten prime numbers? - Answer 2, 3,5, 7, 11, 13, 17, 19, 23, 29 Sum of two primes - Answer All prime numbers are odd, except the number 2. Thus, the sum of any two primes will be even unless one of those primes is the number 2 If a sum of primes is odd, one of those primes must be the number 2 Counting total factors - Answer If a number has prime factorization a^w x b^y x c^z (where a, b, and c are all prime), then the number has (w +1)(y + 1)(z + 1) different factors ...

What are the first ten prime numbers? 2, 3,5, 7, 11, 13, 17, 19, 23, 29 Sum of two primes All prime numbers are odd, except the number 2. Thus, the sum of any two primes will be even unless one of those primes is the number 2 If a sum of primes is odd, one of those primes must be the number 2 Brainpower Read More Previous Play Next Rewind 10 seconds Move forward 10 seconds Unmute 0:01 / 0:15 Full screen Counting total factors If a number has prime factorization ...

BPI Analyst Exam Study Guide with Complete Solutions First Law of Thermodynamics - Answer-Energy is neither created nor destroyed. Equation calculates the area of a triangle. - Answer-1/2 base x height If a 200-watt bulb burns for 20 hours, how much energy does it use? - Answer-4 kWh Energy used if a 200,000 BTU/hr furnace runs for 4 hours - Answer-800,000 BTU Example of Energy efficiency - Answer-Reducing water consumption by a more efficient Domestic Hot Water tank (DHW). Wood placed i...

A fluid is considered to be either a ________ or a ________. - answer-liquid or gas What is the difference between hydraulics and pneumatics? - answer-hydraulics uses oil or other liquids while pneumatics uses air or other gases. Name three different industries that use hydraulics and one way it is used with in that industry. - answer-manufacturing: lifting machines Transportation: shock absorbers in cars Construction: digging equipment What are some advantages of hydraulics over pneu...