Logan’s Logo So Logan has devised a logo for her company which is a square divided into 3 sections with 2 functions. Our objective is to find what functions fit the two curves on her logo and also make it fit on two other sizes of her logo. Just looking at the shape of the lines 2 types of functions immediately jump into my head‚ sinusoidal and cubic. I first traced a grid onto the original copy of the logo I was given in order to get points to start trying to form a function to match the design
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A solid metal is dropped from the height of 64 feet. How long will it take for the solid metal to hit the ground? Ignore the air resistance. | Correct Answer: The solid metal will hit the ground in about 2 seconds. | Which of the following functions shows the graph below? | f(x) = x2 + 2x | Find the quadratic equation whose roots are 1/2 and 6. | 2x2 - 13x + 6 = 0 | The curve y = -2x2 is shifted so that its axis of symmetry is the line x = -2 and its orthogonal axis is y =
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QUADRATIC EQUATIONS Quadratic equations Any equation of the form ax2 + bx + c=0‚ where a‚b‚c are real numbers‚ a 0 is a quadratic equation. For example‚ 2x2 -3x+1=0 is quadratic equation in variable x. SOLVING A QUADRATIC EQUATION 1.Factorisation A real number a is said to be a root of the quadratic equation ax2 + bx + c=0‚ if aa2+ba+c=0. If we can factorise ax2 + bx + c=0‚ a 0‚ into a product of linear factors‚ then the roots of the quadratic equation ax2 + bx + c=0 can be found
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To solve a system of equations by addition or subtraction (or elimination)‚ you must eliminate one of the variables so that you could solve for one of the variables. First‚ in this equation‚ you must look for a way to eliminate a variable (line the equations up vertically and look to see if there are any numbers that are equal to each other). If there is lets say a –2y on the top equation and a –2y on the bottom equation you could subtract them and they would eliminate themselves by equaling zero
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Two-Way ANOVA Two-way ANOVA is similar to one-way ANOVA in all aspects except that in this case additional independent variable is introduced. Each independent variable includes two or more variants. Take the Demonstration problem 11.3 on page number 437 of KEN BLACK Feed the data as shown below: And the values as: 1 1 3.47 1 2 3.43 1 3 3.44 1 4 3.46 1 5 3.46 1 6 3.44 2 1 3.40 2 2 3.41 2 3 3.41 2 4 3.45 2 5 3.40 2 6 3.43 3 1 3.38 3 2 3.42 3 3 3.43 3 4 3.40 3 5 3.39 3
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DEDICATION As an expression of gratitude and love‚ this pure modest research work is heartedly dedicated to all people who have special to their life. First of all our LORD GOD‚ To their classmates and friends And to their beloved and supportive parents. Acknowledgement The researcher wishes to express their sincere gratitude and appreciation to those people helped‚ guide and supported to this
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Mathematics includes methods‚ theorems‚ and models for solving equations that can be defined by and/or solved using numerical methods‚ graphical methods‚ or analytical methods. These three methods can solve small equations such as y=mx+b to x=-b±b2-4ac2a. Analytical methods use mathematical theorems to fully predict the implications of a theory. Analytical usually involves the user writing down formulas and follow step by step procedures find an answer. They can be used when equations are not complex
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MATH 102 FALL 2013 REVIEW FOR THIRD EXAM Graphing Exponential Functions - For each of the following exponential functions: Sketch the graph of the function by first graphing the basic function and then showing one additional graph for each transformation. Label each graph with at least one point‚ its asymptote‚ and its equation. 1. 2. 3. 4. Graphing Logarithmic Functions - For each of the following logarithmic functions: Sketch the graph of the function by
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PRACTICAL-1 Write a program in C/C++ to find the roots of a quadratic equation and perform the following on it: Boundary Value Analysis (BVA). #include #include void main() { int a‚b‚c; int d=0; clrscr(); printf("The Quadratic Equation is of type ax2+bx+c=0"); printf("Enter value of a‚b‚c:"); scanf("%d \n %d \n %d"‚&a‚&b‚&c); d=((b*b)-(4*a*c)); if(a100) { printf("Invalid input"); } if(d==0) { printf("Real and Equal Roots"); } else if(d>0) { printf("Real roots"); } else
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Test Bank for Chapter 4 Problem 4-1: Work through the simplex method (in algebraic form) step by step to solve the following problem. Maximize Z = x1 + 2x2 + 2x3‚ subject to 5x1 + 2x2 + 3x3 ≤ 15 x1 + 4x2 + 2x3 ≤ 12 2x1 + x3 ≤ 8 and x1 ≥ 0‚ x2 ≥ 0‚ x3 ≥ 0. Solution for Problem 4-1: We introduce x4‚ x5‚ and x6 as slack variables for the respective functional constraints. The augmented form of the problem then is Maximize Z = x1 + 2 x2 + 2 x3‚ subject to
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