Monster Energy Drink Glucose - C6H12O6 Glucose is the body’s preferred fuel. Standard energy drinks contain a lot of sugar It’s a carbohydrate and a lot of exercise regimen suggests a good dose of carbohydrates for workouts lasting more than an hour. Caffeine - C8H10N4O2 Caffeine stimulates the central nervous system giving the body a sense of alertness as well as dilates blood vessels. It raises heart rate and blood pressure and dehydrates the body. Guarana Inositol- C6H12O6 Guarana comes
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II. To solve a quadratic equation arranged in the form ax2+ bx=0. Strategy: To factor the binomial using the greatest common factor (GCF)‚ set the monomial factor and the binomial factor equal to zero‚ and solve. Ex. 2) 12x2- 18x=0 6x2x-3= 0 Factor using the GCF 6x=0 2x-3=0 Set the monomial and binomial equal to zero x=0 x= 32 Solutions * In some cases‚ the GCF is simply the variable with coefficient of 1.
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Brandon Deonath Add maths SBA Mrs. Ramnarine 5s Title: To find the maximum volume of a box using the method of differentiation. Problem statement: Mr. Lee‚ owner of a private cake company‚ sells a square 5 inch cake in a box made from 50 x 50 cm sheets of material. He would like to put a bigger square 8 inch cake in a box made from the same 50 x 50 com sheets of material. He decided to use the method of differentiation to help him with his task. Method: 1. Three squares measuring
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| | (-∞‚ 1)‚ (1‚ ∞) | Question 14 Find the location of the indicated absolute Minimum of f(x) over the given interval. f(x) = x3 - 3x2; [0‚ 4]Answer | | x = 2 | | | x = 0 | | | x = No minimum | | | x = 4Question 15 P(x) = -x3 + 12x2 - 21x + 100‚ x ≥ 4 is an approximation to the total profit (in thousands of dollars) from the sale of x hundred thousand tires. Find the number of hundred thousands of tires that must be sold to maximize profit.Answer | | 4 hundred thousand |
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Introduction to Management Science‚ 10e (Taylor) Chapter 5 Integer Programming 1) The 3 types of integer programming models are total‚ 0 - 1‚ and mixed. Answer: TRUE Diff: 1 Page Ref: 182 Main Heading: Integer Programming Models Key words: integer programming models 2) In a total integer model‚ all decision variables have integer solution values. Answer: TRUE Diff: 1 Page Ref: 182 Main Heading: Integer Programming Models Key words: integer programming models 3) In a 0 - 1
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Homework Sheet - Basic Algebra 1. John and Sarah are simplifying this expression. 3a + 8b + 7a – 6b John says the answer is 2a + 2b and Sarah says the answer is 10a + 14b. What is the correct answer? Sarah 2. Simplify these expressions. a) 4d + 6e – 2d – 3e = 2d-3e b) 12g – 3h – 8g + h = 4g-4h c) k + 2k + 3k – m – 2m – 3m = 6k-3m d) 7c + 4d – 10c + 5d = -3c+9d 3. Multiply out these brackets. a) 3(2a + 7) = 6a+21 b) 5(3x – 2y) = 15x-10 c) 2(4g2 – 3g) = 8g2-6
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5. a) -16 b) -209‚ c) 20 6. 10xx4+3x2-242x2+3 7. -3x2sina3+x3 8. 2x-33x2+x+1428x2-12x-7 11. cosxcosxcosx-xsinx 12. 2sec22xcostan2x 13. 2x+14x x+x 14. cosxcossinsinxcossinx 15. -3sinxcos2x 16. –cos1xx+sin1x 17. -12xx2+12x2-14 18. 3x2+1-3x522x-151-3x4 19. 2pr2cosrx2rsinrx+np-1 20. -2cos2tsec25-sin2t 21. 75x3-x4615x2-4x3 22. 4x28+x-1x3x4+1+1x2 23. sectanxtantanxsec2x 24. 2sinθ1+cosθ2 26. 2πsinπt-2cosπt-2 25. 2θcos2θcosθ2-2sin2θsinθ2 27. 4x+33x+144x+7
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Polynomials: Basic Operations and Factoring Mathematics 17 Institute of Mathematics Lecture 3 Math 17 (Inst. of Mathematics) Polynomials: Basic Operations and Factoring Lec 3 1 / 30 Outline 1 Algebraic Expressions and Polynomials Addition and Subtraction of Polynomials Multiplication of Polynomials Division of Polynomials 2 Factoring Sum and Difference of Two Cubes Factoring Trinomials Factoring By Grouping Completing the Square Math 17 (Inst. of Mathematics) Polynomials: Basic Operations
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MATH 4321 Spring 2013 Assignment Solution 0-Sum Games 2 1. Reduce by dominance to 2x2 games and solve. 5 4 4 3 (a) 0 1 1 2 1 0 2 1 4 3 1 2 10 0 7 1 (b) 2 6 4 7 6 3 3 5 Solution: (a). Column 2 dominates column 1; then row 3 dominates row 4; then column 4 dominates column 3; then row 1 dominates row 2. The resulting submatrix consists of row 1 and 3 vs. columns 2 and 4. Solving this 2 by 2 game and moving back to the original game we find that value is
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X1 =the number of type 1 trucks produced X2 =the number of type 2 trucks produced The objective is to maximize the profit of producing the two truck types. The constraints are capacities of the paint and assembly shops. Max 300X1 + 500X2 subject to 7X1 + 8X2 ≤ 5600 (Paint Shop) 4X1 + 5X2 ≥ 6000 (Assembly Shop) X2 X1 ‚ X2 ≥ 0‚ integers (nonnegativity & integrality) 3.10 We want to minimize production and inventory costs while meeting demand. Only half of a week’s demand can be filled from that
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