Algebra Why do we reverse inequality sign when dividing by negative number? what is the proof express proof with variables or letters

Q: Let M be the set of all measurable sets and m is the Lebesgue measure on R. Show that if A, B E M…

A: First we prove a and b by using simple rules of sets and measure. Then we generalise the results for…

Q: Solve the following differential e

A: Introduction: A second-order differential equation is a particular kind of differential equation…

Q: Using Newton's Method (Numericals) 2sinx = x, where xk = 5 and dk < 0.001

A:

Q: 1 1 = [-2.75 -5] -4.5 and A₂ Find an invertible matrix S and a diagonal matrix D such that S-¹AS =…

A:

Q: Determine whether the series Σ n=0 3 23 converges or diverges. If it converges, find its sum.

A: Convergence of the series

Q: Section 2: Solve each equation for x. All of these equations have two solutions. A. x² = 64 B. 2x² =…

A:

Q: 4 36 27 18 Given: s It 26 = 24 Prove: r It

A: Translate the parallelism into angles

Q: Let a be a primitive element for the field GF(pn), where p is an oddprime and n is a positive…

A: It is given that a be a primitive element for the field GFPn, where p is an odd prime and n is a…

Q: A mass of 4kg stretches a spring 20cm. Suppose the mass is displaced an additional 6cm in the…

A:

Q: Exercise 2: Describe the transformation for the parent function y = |x| a) y = - | x-2 |

A: Introduction: You can fix a point on the coordinate graph using the ordinate and abscissa. The point…

Q: 6) Let y = tan(3x + T -1. a) What is the period? b) Has it been translated up or down? c) Has it…

A:

Q: 2. f(x) = sin(2x) + x², you are only given the following data x f(x) -0.1 0 0.1 0.2 -0.1887 0 0.2087…

A:

Q: Write the Linear Approximation f(a+h,b+k) ≈ f(a,b) + fx(a,b)h + fy(a, b)k (Give an exact answer. Use…

A:

Q: Sketching a Function A Sketch the graph of a single function f(x) that satisfies all of the…

A:

Q: 3. Determine tautology, contradiction or contingency a. -p→ (q→ r) and q→ (pvr) b. (pvq)^(pvr) →…

A:

Q: Given the ring of integers . Justify your answer. (b) Determine the multiplicative inverse of [k, 1]…

A:

Q: VO 0 4 2 C n - 1 and use the Binomial Theorem to Prove that limon = 1. (Hint: Define an show that…

A:

Q: Find the circulation and flux of the field F = -x²i-y²j around and across the closed semicircular…

A:

Q: (a) Give an example of a basis in a space of symmetric n x n matrices with entries from a field F.…

A:

Q: Suppose a₁, A2, A3, a4, and a5 are vectors in R3³, A = (a₁ | ª₂ | a3 | 24 | 25), and 1 0 0 -5 0 1 0…

A:

Q: Given the below function and graph, determine the following. a. A Fourier series representation of…

A:

Q: Vector Exploration (#theoreticaltools) Let u= (2,4, 2), = (0, -1, 2), and w = (-5,2,1). (a) Plot u,…

A: Given: u→=2, 4, 2, v→=0, -1, 2, and w→=-5, 2, 1 To do: (a) Plot u→, v→, and w→ on the same set of…

Q: What is the predicted worldwide sales amount for e-cigarettes in 2010? Express your result in…

A: From the question, Sales in 2008 = 20 million dollars From the answer, Average rate of change of…

Q: 1. J1, 0 2 t,

A:

Q: 23. Translate in two ways each of these statements into logi- cal expressions using predicates,…

A:

Q: Solve for A You can resize a matrix (when appropriate) by clicking and dragging the bottom-right…

A: Introduction: The first matrix's columns must match the rows of the second matrix in order to…

Q: 1. The graph of function f is shown. a) Draw the graph of f-¹ on the same set of axes as f. b) What…

A: Given the graph of f. The objective is to draw the graph of f-1 and to find the values of f-1(2) and…

Q: ind the absolute maximum and minimum values of f(x,y) = {(x, y) : y ≥ x², y ≤ 4}. = 3x² + 2y² - 4y…

A: Solution :  To find the absolute maximum and minimum values of f(x, y) = 3x ^ 2 + 2y ^ 2 - 4y on the…

Q: For each row in the table below, use the given values to fill in the missing entries. If an answer…

A: We use trignometric ratio to find the value of given question  sin,  cos, tan

Q: (b) p→→q¬qp)

A:

Q: For a specific site, earthquakes above magnitude 7 have a return period of 500 years. We are…

A: Given Information: Design life of a Dam =  100 Years Earthquakes above 7 have a return period = 500…

Q: 3.) Which positive integers have an odd number of positive divisors?

A:

Q: Given the below matrix, determine the following. Show all work. a. The eigenvalues for the matrix.…

A: The given matrix is A=4-162162-18 (a) The characteristic equation of the matrix A is given by…

Q: Find a basis for the nullspace of the matrix. (If there is no basis, enter NONE in any single cell.)…

A: The given matrix is A= 3-914-26-141-37 Perform R1→R13. A= 1-3143-26-141-37 Perform R2→R2+2R1. A=…

Q: Write the contrapositive and the negation for the following statement. Hair is necessary for a comb.…

A: Given statement : Hair is necessary for a comb. Now, firstly we write given statement in if...then…

Q: the fixed points lose/gain stability. (iii) using a solid line for stable and dashed line for…

A:

Q: Identify the property illustrated by the statement. 6+7=7+6 Choose the correct choice below. A.…

A:

Q: 2-3. Demonstrate by means of truth tables the validity of the following theorems of Boolean algebra.…

A:

Q: 1. Define the following statements accurately: 1. Tautology 2. Contradiction 3. Contingency 4.…

A:

Q: d) A student in your class has been in a movie. e) No student in your class has taken a course in…

A:

Q: 1) Find the degree of each vertex in the following graph

A:

Q: Use the chain rule to find of and, where x = r cos(0), y = rsin(0), and f(x, y, z)=yz+xz+xy.

A:

Q: Susan earns 41 dollars per week working part-time at a book store. She makes one dollar more for…

A: Solutions

Q: decide if the given statement is true or false,and give a brief justification for your answer. If…

A: Consider the statement: "If two matrices A and B have exactly the same characteristic polynomial,…

Q: ¡1049

A:

Q: In the diagram RE is a tangent to the circle at R, with E on PT and REQS Prove that: qu 2 43 QR = RS…

A:

Q: What is the solution set of the give linear system? x+2y=-3 x-2y=0 A. x = ²³; y 2;9=7 3 y B. x =…

A:

Q: Solve the general solution of the equation. y = -4 sec² x + e -4x

A:

Q: 4) If the walls in a room are 955 square feet in area, and a gallon of paint covers 15 square yards,…

A:

Q: Prove that, for every positive integer n, there are infinitely manypolynomials of degree n in Z[x]…

A: To prove: there are infinitely many polynomials of degree n in Zx that are irreducile for every…