B = 0 The equation of the parabola is y = 1/9 x^2 Y = 1/9 (3)^2 Y = 1/9(9) = 1 The point which is 3 feet horizontally from the vertex is 1 foot high. 2. -3a - b = 6 let this be equation 4 Using equation 2 and equation 3 to eliminate c 4a + 2b + c = 18 -9a - 3b + c = - 2 -5a - b = 16 let this be equation 5 Solving for a and b using equation 4 and equation 5 -3a –b = 6 +5a
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François Viète (Latin: Franciscus Vieta; 1540 – 23 February 1603)‚ Seigneur de la Bigotière‚ was a French mathematician whose work on new algebra was an important step towards modern algebra‚ due to its innovative use of letters as parameters in equations. He was a lawyer by trade‚ and served as a privy councillor to both Henry III and Henry IV. Contribution to Mathematics in Detai: His first published work‚ the Canon mathematicus [Canon‚ 1579] has trigonometric tables computed to 9 decimal places
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Design of a Polystyrene Plant for Differing Single-Pass Conversions November 25‚ 2013 Introduction Polystyrene is one of the most widely used plastics‚ with applications ranging from food packaging to appliances to manufacturing (Maier). On an industrial scale‚ polystyrene is derived from its monomer‚ styrene. This is achieved by free-radical polymerization of a solution of monomer‚ polymer‚ and initiator. This reaction is a multistep radical reaction that
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bx + c is a Quadratic Equation (let y = 0 to find the roots and ZEROS) The roots of the quadratic equation ax2 + bx + c = 0 are ‚ where the radicand‚ is called the DISCRIMINANT‚ D. The value of the discriminant determines the number and nature the roots of a quadratic equation (that is‚ real/not‚ equal/distinct) and the number of x-intercepts. Investigation Complete the table below and observe the value of the discriminant‚ D‚ in each case. Quadratic Equation Function in Factored
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one-dimensional‚ one-phase flow equations As an introduction to reservoir simulation‚ we will review the simplest one-dimensional flow equations for horizontal flow of one fluid‚ and look at analytical and numerical solutions of pressure as function of position and time. These equations are derived using the continuity equation‚ Darcy’s equation‚ and compressibility definitions for rock and fluid‚ assuming constant permeability and viscosity. They are the simplest equations we can have‚ which involve
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Aryabhata (476–550 CE) was the first in the line of greatmathematician-astronomers from the classical age of Indian mathematics and Indian astronomy. His most famous works are the Aryabhatiya (499 CE‚ when he was 23 years old) and the Arya-siddhanta. Name While there is a tendency to misspell his name as "Aryabhatta" by analogy with other names having the "bhatta" suffix‚ his name is properly spelled Aryabhata: every astronomical text spells his name thus‚[1] including Brahmagupta’s references to
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polynomial equations If [pic] and [pic] are the roots of quadratic equation [pic]‚ then [pic] [pic] If [pic]‚ [pic] and [pic] are the roots of cubic equation [pic]‚ then [pic] [pic] [pic] If [pic]‚ [pic]‚ [pic] and [pic] are the roots of quartic equation [pic]‚ then [pic] [pic] [pic] [pic] • Finding equations with related roots Q: The roots of the cubic equation [pic] are [pic]‚ [pic] and [pic] where [pic]. Find the cubic equation with roots
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prepares students to take the International Baccalaureate Mathematics exam at the Standard level. | |Topics include operations and properties of number sets; trigonometric functions‚ equations‚ and graphs; algebra and coordinate geometry; | |simultaneous linear equations; polynomial and quadratic functions and equations; calculus‚ including bilinear‚ exponential and logarithmic | |functions; two dimensional vectors and matrices; and probability.
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Use a math editor (Equation Editor or MathType) to write all math text to insure proper formatting of work and answers. |# | |Show your Work using a math editor and state Final Answer |- pts |+ pts | |1 |Suppose you are at the gas station filling your tank with gas. The function C(g) represents the cost C of filling up | |0 |0 | | |the gas tank with g gallons. Given the equation: [pic]
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Mahommed ben Musa al-Khwarizmi (Hovarezmi)‚ who flourished about the beginning of the 9th century. The full title is ilm al-jebr wa’l-muqabala‚ which contains the ideas of restitution and comparison‚ or opposition and comparison‚ or resolution and equation‚ jebr being derived from the verb jabara‚ to reunite‚ and muqabala‚ from gabala‚ to make equal. (The root jabara is also met with in the word algebrista‚ which means a "bone-setter‚" and is still in common use in Spain.) The same derivation is given
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