You have learned how to solve linear systems using the Gaussian elimination method and the Cramer’s rule method. Most people prefer the Cramer’s rule method when solving linear systems in two variables. Write at least three to four sentences why it is easier to use the Gaussian elimination method than Cramer’s rule when solving linear systems in four or more variables. Discuss the pros and cons of the
Step 1) Identify the legs and the hypotenuse of the right triangle. | The legs have length '14' and 48 are the legs. The hypotenuse is X. See Picture | The hypotenuse is red in the diagram below: Steps 2 and 3 | Step 2) Substitute values into the formula (remember 'c' is the hypotenuse) | A2 + B2 = C2 142 + 482 = x2 | Step 3) Solve for the unknown | | Problem 2) Use the Pythagorean theorem to calculate the value of X. Round your answer to the nearest tenth.
Review Problems for Exam #3 - Math 111B Exam #3 will cover Sections 5.2 – 5.6 (Inverse Functions, Exponential and Logarithmic Functions) • Be able to identify when a function has an inverse function and be able to find that inverse • Identify an exponential function, solve problems involving exponential applications • Identify a logarithmic function, solve problems involving logarithmic functions and applications • Use logarithmic properties to condense or expand logarithmic expressions as needed • Solve exponential and logarithmic equations • Create an exponential model based on data points and use that model to predict behavior 1. Describe verbally the inverse of the statement. Then express both the statement and its inverse symbolically as a function and its inverse. “Take the cube root of x and add 1.” 2. Determine if the following functions are one-to-one: a) [pic] b) [pic] c) d) e) 3.
Exponents, Scientific Notation, and Radicals Order of operations: Solve using the order of operations. Be sure to show each step to receive full credit. (–16 ÷ 2) × 4 – 3 + 82 (-8) x 4 (-32) -3+82 -29+ 82 - 372 Exponents: Define the product rule and the quotient rule in your own words. The product rule is a formal rule for differentiating problems where one function is multiplied by another. The quotient rule is a method of finding the derivative of a function that is the quotient of two other functions for which derivatives exist Using the product and quotient rule, solve the following: Product rule exercise: x^11* x^5= x^(11+5)=x^16 x^(–6 )* x^12 〖=x〗^(-6+12)=x^18 Quotient rule exercise: x^(30 )/x^10 = x^(30-10)=x^20 x^(30 )/x^(–10) =x^(30--10)=20 Scientific Notation: Refer to your textbook or any Internet source to answer the following question.
4. Using your function, explain to the Martians how to solve for f(3). Show your work and explain each step using complete sentences. Q4 answer: I think for you to solve for f(3) in the function f(x) = 2x + 5, you would have to replace the 'x' with a 3. So the new equation would look like f(3) = 2(3) + 5.
Question: In this assignment, you will design a program to perform the following task: Write a program using functions that asks the user for the dimensions (Length and Width) of a rectangle and calculates: a) The area and perimeter of the rectangle b) The length of the diagonal (use the Pythagorean Theorem: c2 = a2 + b2, where c = length of the diagonal; a = length; b = width) This is a rectangle b a Before attempting this exercise, be sure you have completed all of chapter 7 and course module readings, participated in the weekly conferences, and thoroughly understand the examples throughout the chapter. There are 3 main components of your submission including the problem analysis, program design and documentation, and sample test data. 1. Provide your analysis for the following problem statement: Write a program that calculates the area, perimeter, and diagonal length of a rectangle whose dimensions (Length and width) are provided by the user. Your analysis should be clearly written and demonstrate your thought process and steps used to analyze the problem.
MTH208 – Week 4 Individual Textbook Problems Page 459, #20 Solve each system by graphing. and To solve graphically, we need points on a line. We can find these by assigning 3 numbers to x and solve for y and then plug them into the equation each time to see that they work. See table below for numbers assigned to x which gave us the values for y. Y=X 2x + 3y = 5 X | Y X | Y 3 | -2 3 | -0.33 0 | 0 0 | 1.66 -3| 2 -3 | 3.66 Page 461, #70 Solve each system by the substitution method. and Plugging in the solutions: Page 461, #92 Investing her bonus.
Exercise 10.1 Knowledge Assessment (Page 104) Fill in the Blank Complete the following sentences by writing the correct word or words in the blanks provided. 1. The two programs that make up the User State Migration Tool are called _____ and _____. Disk Image 2. The two programs that make up the User State Migration Tool are called _____ and _____.
The solution of the system is the intersection point of the graphs of the given equations. II. Solution of the System A system of equations can be solved through Eliminations method, Substitution method or by a Graphical method. A. By elimination method Example 1: Solve the system of equation by elimination method x2 + y2 = 4 - eq’n (1) x2 - y2 = 4 - eq’n (2) Assigning equation (1) & (2) and eliminate y variable by adding the two equations, we have 2x2 = 8, and solving for x x2 = 4 → x = ±2 Using the value of x and solving for y using eq’n (1) (±2)2 + y2 = 4 4 + y2 = 4 y2 = 4 - 4 y2 = 0 → y =
3. 3. Generate all the PIs of f, {Pj} Generate all the Generate all the minterms of f, {mi} Generate all the Build the Boolean constraint matrix B, where Bij iis 1 if s Boolean mi∈ Pj and is 0 otherwise 4. Solve the minimum column covering problem for B 4. Solve ENEE 644 2 Example: Quine-McCluskey Method Example: Quine f(w,x,y,z) = x’y’ + wxy + x’yz’ + wy’z wxy x’y’ x’z’ wx’y’z’ 1 1 w’x’y’z 1 w’x’y’z’ 1 wxyz 1 wxyz’ wxz wyz’ wy’z 1 1 1 {x’y’, x’z’,wxy, wxz}, {x’y’, x’z’,wxy, wy’z}, {x’y’, x’z’,wxz, wyz’}.