2. What is 2,918 ÷ 3 ? 969 R1 972 R2 976 972 R1 3. What is 4824 ? ABCD

Q: Problem 4: Determine the splitting field of the polynomial (r² – 2)(x² – 3)(r² – 4) over Q. Find its…

A: Given,Polynomial : x2-2x2-3x2-4To find: 1) Splitting field of given polynomial                2)…

Q: 6 dx t.

A: Here, we need to find the following expression of the integral.          I=∫0∞1-eabx6cDx2dx Here,…

Q: 0. 11. If we buy 2 tickets from station A to station B, and 3 from station A to station C, we have…

A: let the fare from station A to station B be Rs x and the fare from station A to station C be Rs y…

Q: Solve by theorems of linearity and translation. f(t) = cos t + sin t

A:

Q: O1: find the root of the following equation, x3 = 20 using Bisection method with X=1, xu=4, conduct…

A: Let, f(x) = x3 - 20. We try to find root of f(x) = 0, by bisection method with initial interval…

Q: Show the differential equation. Choose your answer from the choices below. A. e^x + x²y= Cy B. e^y -…

A:

Q: Solve the system 3 9 dx dt -1 -3 with æ(0) : 4 Give your solution in real form. x2

A: Given system is of the form X' =AX. We have to find eigenvalues and associated eigenvectors of the…

Q: 5.1 Rewrite the following integral as an equivalent integral with the order of integration reversed.…

A:

Q: -12 8 A = 8. (a) Write down the general solution of the system = Aã. %3D (b) Say whether or not we…

A:

Q: Evaluate by Exact D.E. (2xy – 3x²) dx + (x² + y)dy = ( Oc= =y+x² + % 2 Oc = x²y – x³ + y? %3D 2 Oc =…

A:

Q: 1 -1 V1 = V2 D ,V3 -1 -4 -1

A:

Q: If z/w = 6 - j8 when z = 22 + j4, what is the argument of w?

A: To find The argument of w.

Q: Use the Gram-Schmidt process to find an orthogonal basis for the column space of the following…

A: Given: Let us consider the given matrices, a) -2-6-14-16-18-210215-20-16

Q: A company has three factories. Each factory produces three different products (A, Band C). Factory 1…

A: 1st we will make a Linear program with given data and then make simplex tableau  using them

Q: 3.17 Let A be a subset of R, and let f be a bounded function with domain A. Show that, if BC A, then…

A: Given that A,B are subsets of ℝ andB⊂A. As f is a bounded function in A and B⊂A then fB≤fA

Q: Determine the z-transform of the sequence x(n) = {3, 0, 0, 0, 0,6, 1, 4} using z-transform…

A:

Q: Vhat is the z transform of h(n) h(n) = (1/2)^, 0<n<3 0, elsewhere 1+ (1/4)z² + (1/8)z³ o. 1+ (1/2)z…

A: We find Z transform of given function h(n).

Q: The area in square feet of a certain rectangular pen is given by the formula A = 14w- w, where w…

A: Given : The area of a rectangular pen is given by ;  A = 14w-w2 ,  where w is the width. To find :…

Q: Using secant method, detemine a root of sin x – x with initial guesses x, = 0.5 and x, = 1…

A:

Q: r6 + x5 + 32x + 32 = 0

A: Given :  The given equation is ;  x6+x5+32x+32 = 0 To find : We have to find all the solutions of…

Q: Find an equation of the sphere satisfying the given conditions. a. It is concentric with the sphere…

A: Under those conditions no sphere is possible. Find the details below.

Q: 4 -2 1 15 -3 -14 8 1 -1 3 13 To Eliminate a32 by Gaussian Elimination Method The operation 2R, -…

A:

Q: Let -13 4 -8 2 -37 15 -28 -5 A = -6 4 -7 -6 0 0 1 Find a matrix P such that D = P-1AP is the Jordan…

A: Given that  -134-82-3715-28-5-64-7-60001 To find the matrix P such that D=P-1AP

Q: Solve for the following application of first order differential equations. Show your solutions. 1.…

A: Given: The half-life of a radioactive substance is 2 days. To find the time of decay of 1/10 of the…

Q: Find the solution. dy y -= xy? dx A y = - ex - x3 3x B y = c-x3 - 3x y = c+x3 D y = c+x3 3.

A: Given equation is  dydx-yx=xy2

Q: Consider z1 = 1 - j2 and z2 = -2 + j3. Determine Im (21)?

A:

Q: The z-transform of y(n) is Y(z) = 2z2 + z + 1 + 2z-1 + 3z2, Izl + 0. Find the sequence (½)"y(n – 2).…

A: Given, y(n)→Y(z)⇒Y(z)=2z2+z+1+2z-1+3z-2To find: Sequence of12ny(n-2) i.e. z-transform

Q: (c) If a > 0, then > 0. a

A:

Q: 2. A clothing store wants to stock sweatshirts that come in four sizes (small, medium, large,…

A: according to question, a store wants to have four different sizes small -Smedium - Mlarge - Lx-large…

Q: | Find the rate of change m for -3x + 4y = 14 %3D Find the rate of change for (8,6) and |(10, -2) in…

A:

Q: Direction: Solve the function using Bisection Method. Show your complete solution. 1. Show that 3x E…

A: For the solution of the problem follow the next steps.

Q: Min Z=4X1+X2 S.TO 3X1+X2=3 4X1+3X2>6 X1+2X20

A: We are given the problem,

Q: dy - (x-y+ 1)'dx = 0

A:

Q: After one iteration of Newton Raphson Method, what is the refined estimate of the root of 7 (sin x)…

A:

Q: L{2et – 4e4 } O 2(s-6) 52-6s+8 O2 (6-s) 52-6s+8 s-6 82 6s+8 (s 6) 2 6s+8

A:

Q: .A college freshman must take a science course, a humanities course, and a mathematics course. If…

A: Solution

Q: Evaluate L{t cosh 4t. 1 1 + (s – 1)’' (s+1)* А. В. (s-1)* (s+1)* 1 1 С. (s –4)° (s+4)' 3. D. (s-4)*…

A:

Q: + Solve the following determinants:- ! 2 3 4 01 2 3 - 2 1 - 1 0 2 3 2 0 2 0 3 e) 38 S)1

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: finite extension

A:

Q: Find the Eigenvalue and its corresponding Eigenvector. Show your solution on a paper.

A:

Q: What is the z-transform of x(n) = ō(n) + õ(n – 1) + õ(n – 2) + õ(n - 3) + õ(n – 4) + d(n - 5) a. 1+…

A:

Q: Theorem 85 Let a be a positive real number. For all real numbers and y, 1. 1리 < a → 2. Jay| = |x|…

A: Let a  be a positive real number To prove 1) |x| &lt; a⇔                  2) |xy|= |x| |y|…

Q: Use the Runge-Kutta method to solve the equation y" = xy' +y for x= 0-0(0-2)2-0 given that at x = 0,…

A:

Q: Q1: There is a factory working to produce two pump types (X, Y), by using four parts ( A, B, C, and…

A:

Q: To find the average value of a function f(x, y, z) on a solid region E, we have the formula 1 avg(f)…

A: Given that        avgf=1volumeE∫∫∫E fx,y,zdV

Q: Solve the value of the variables using Gauss Elimination with checking. Write the values of the…

A:

Q: Let p be prime. Show that (E) mod p imply about the binomial coefficients (",? for 0<k < p What does…

A:

Q: Let n > 1 be an integer. We say that [x] E Z/n is a zero divisor if there ex- ists [y] E Z /n –…

A: Introduction: The units in a ring is very important. It is not necessary that every ring has…

Q: Q.1. (a) Show that 1 -a? 14P Dreve thot

A:

Q: 10. Let o: Q(V2) → Q(/2) be the map given by ø(a+bv2) = a-bv2. Show that is a Q-linear field…

A: We have given a map ,  ϕ : ℚ2 → ℚ2  such that , ϕa + b2 = a - b2 We need to show that , ϕ is an…

Unitary Method

The word “unitary” comes from the word “unit”, which means a single and complete entity. In this method, we find the value of a unit product from the given number of products, and then we solve for the other number of products. 

Speed, Time, and Distance

Imagine you and 3 of your friends are planning to go to the playground at 6 in the evening. Your house is one mile away from the playground and one of your friends named Jim must start at 5 pm to reach the playground by walk. The other two friends are 3 miles away.

Profit and Loss

The amount earned or lost on the sale of one or more items is referred to as the profit or loss on that item.

Units and Measurements

Measurements and comparisons are the foundation of science and engineering. We, therefore, need rules that tell us how things are measured and compared. For these measurements and comparisons, we perform certain experiments, and we will need the experiments to set up the devices.