Week 3 Written Assignment Carla Zemeckis Survey of Mathematical Methods Instructor: Kevin Kuznia February 6, 2012 Project 1 In India they use a method for solving quadratic equations. There are six steps to solving the equation. I will show four different equations and the steps I use to solve them. A) x²-2x-13=0 step one move the constant term to the right side of the equation. x²-2x-13=0 turns into x²-2x=13 to do this add 13 to both sides of the equation.
Real World Radical Formulas Karla Cartwright MAT 222 Instructor Jennifer Scharf April 14, 2014 Real World Radical Formulas A rational exponent is an exponent in the form of a portion. A radical is a square root of a number expression. Even though, both have real number problems. A radical expression is defined as any expression or equation that contains a square root. The square root specifies the number inside the square root is called the radicand.
Simplify the equation and write it in standard form. If the equation contains decimals, multiply each term by a constant that will make all coefficients integers. 60 = (x+0)(x-7)(x-8) f(x) = x^3 - 15x^2 + 56x -60 5. Find the solutions to this equation algebraically using the Fundamental Theorem of Algebra, the Rational Root Theorem, Descartes' Rule of Signs, and the Factor Theorem. Fundamental Theorem of Algebra: The fundamental theorem of algebra states that the number of zeroes is equal to the degree of the polynomial.
AB is the diameter of a circle. A is (1, 3) and B is (7, -1). i) Find the coordinates of the centre C of the circle. [2] ii) Find the radius of the circle. [2] iii) Find the equation of the circle.
B. C. D. 80° 100° 180° 200° and ? MA.912.G.2.2 4. What regular polygon has an exterior angle that measures 60 degrees? A. B. C. D. Square Regular hexagon Regular pentagon Equilateral triangle MA.912.G.
Background: Topics: addition, scalar multiplication and multiplication of matrices. 1. A matrix A is said to be a square matrix if A is of size n × n for any positive integer n. 2. Two square matrices are said to commute if AB = BA. 3. tr(A) is the trace of a (square) matrix A; tr(A) = n i=1 aii .
Show the steps of conversion that you used. Adding leading zeroes creates the number 001101102 which can be split into 00112 and 01102 the hexadecimal value for these two bytes are 316 and 616 respectively so this number would be 3616 Exercise 1.3.6 Represent the hexadecimal value f616 in binary and decimal. Show the steps of conversion that you used. F16 = 11112 and 616 = 01102 when put together the binary value is 111101102 which is equal to 246. Lab 1.3 review 1.
Topic 13 Video A * The mole is a unit that represents a larger number * 1 mole = 6.022 x 10^23 particles * We can use moles/molecules to solve chemical equation questions like “reacting completely” questions ex: Let’s practice video A question 1 Video B * Moles represent a definite and specific mass of a substance, this number represents the number of grams of a substance in 1 mole * 1 mole of any element or substance is equal to its molar mass and 6.022 x 10^23 molecules ex: 1 mole of H2O = 18 grams = 6.022 x 10^23 molecules Video C Grams to Moles Moles to Grams Given grams x 1 mole molar mass of element/compound
In the 12th century, the Indian mathematician, Bhāskara II, developed an early derivative representing infinitesimal change, and he described an early form of "Rolle's theorem". [5] Also in the 12th century, the Persian mathematician Sharaf al-Dīn al-Tūsī discovered the derivative of cubic polynomials, an important result in differential calculus. [6] In the 14th century, Madhava of Sangamagrama, along with other
Write assignment statements that perform the following operations with the variables a, b, and c. a) Adds 2 to a and stores the result in b * b=a+2 b) Multiplier b times 4 and stores the result in a * a=b*4 c) Divides a by 3.14 and stores the result in b * b=a/3.14 d) Subtract 8 from b and stores the result in a * a=b-8 4. Assume the variables result, w, x, y, and z are all integers, and that w=5, x=4, y=8, and z=2. What value will be stored in result in each of the following statements? a) Set result = x + y * 12= x + y b) Set result = z + 2 * 4=z * 2 c) Set result = y / x * 2=y / x d) Set result =y – z * b=y – z 5. Write a pseudocode statement that declares the variable cost so it can hold real numbers.