Write number in scientific notation. -0.00000000405

Q: Let A = -78 86 3X= 4A + 3B and B = 2-6 7-8 X = (Simplify your answer.) Find a matrix X satisfying…

A: Here we have to find the matrix X such that 3X=4A+3B for the given matrix A and B.

Q: The price of a computer component is decreasing at a rate of 12% per year. State weather this…

A: The decline in price would be exponential, due to the fact that the decrease in price is not always…

Q: Let A = 11 02 Find a matrix S, a diagonal matrix D and S such that A = SDS-1 S S D = S-1 S

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Q: Consider the vectors v1 =[-3  2  -1], v2= [-18 15 -15],  v3= [3  -3  4]  Find if vectors are…

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Q: This is the graph of f(x)= f(x) = g(x)? X-2 x + 2 and g(x) = 4x 1. For what interval(s) is

A: Using basic inequalities we solve this problem. The details are typeset and presented in step 2.

Q: I need help in this question of MCQ Q4)Which of the following is true? a)1 The probability…

A: For option (a) We know that, a sampling distribution refers to a probability distribution of a…

Q: Consider the differential equation x²dx- ydy=0 with the initial condition y(0) = 2. Approximate the…

A: For a differential equation of the form: y'=f(x, y), the Runge-Kutta 3 method uses the following…

Q: [ 13/12/ 2 -2. 2 -2./y2. √2 LV₂ g(x, y, z) dz dx dy + y2⁹(x, y, z) g(x, y, z) dy dz dx √z j√z- g(x,…

A: Rewrite the integral ∫-22∫-4-x24-x2∫x2+y24 gx,y,z dz dy dx 1) Here y=-4-x2 , y=4-x2 and x=-2 , x=2…

Q: Answer the following questions for the poset ([3, 5, 9, 15, 24, 45), I). Find the minimal elements.…

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Q: fish hatchery employed a mathematician to design a model to predict the -opulation size of fish that…

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Q: Find the product Z₁Z2 and the quotient Z₁ = 10(cos(110°) + i sin(110°)), Z1Z2 = Z1 Z2 Z1 Express…

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Q: Read the following and answer accordingly: (a) Find an interpolating polynomial of appropriate…

A: fx=sinx x       fx    First order divided difference        Second order divided difference 0…

Q: Let G be a finite group generated by a and b. Let s1, s2, . . . , sn be thearcs of a Hamiltonian…

A: Given that 'G' be a finite group generated by a and b. Let s1, s2, . . ., sn  be the arcs of a…

Q: 1. Prove that 1+2+3+4+...+n= n²+n 2 for every positive integer n.

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Q: The count in a bacteria culture was 100 after 10 minutes and 1900 after 40 minutes. Assuming the…

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Q: в dt dy dt = 2x+y x+2y 1 2t e

A: Given : dxdt=2x+y-e2tdydt=x+2y  x0=1 , y0=-1 To Find : Solution of Initial value problem.

Q: y" + 3y + 2y = sin ex

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Q: Prove whether this statement is true or false. For all sets A, B, and C: (see image)

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Q: √ (Use decimal notation. Give your answer to four decimal places.) Use the Linear Approximation to…

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Q: A tank initially contains 200 gallons of water in which 50 lbs of salt are dissolved. A salt…

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Q: 4. A-kg object stretches a spring with stiffness 18 N/m and damping coefficient kg/sec. There is no…

A: y"+2λy'+ω02y=0,   y0=y0, y'0=v0yt=e-ω0ζtc1cosω01-ζ2t+c2sinω01-ζ2tζ=λω0c1=y0c2=ζω0y0+v0ω01-ζ2 Given…

Q: A federal report indicated that 14% of children under age 6 live in poverty in New Jersey, an…

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Q: 9. Construct the truth table for the following propositions: ni sad? a. p P A are vor li vino albu…

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Q: 7.6. Show that there are no analytic functions of the form f = u + iv with u = x² + y².

A: As per the policy, we are allowed to solve only one question at a time. So, I am answering the first…

Q: Consider the following nonlinear boundary value problem f" = -(f')²-f+ lnx, vith x € [1,2], ƒ(1) =…

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Q: Solve the given initial-value problem. -=y-1 dt dy dt -7x + 2y x(0) = 0, y(0) = 0

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Q: Prove if the statement is true or false. For all sets A, B, and C: (A ∪ B) ∩ (A ∪ C) ⊆ Ā ∪ C…

A: I have given the answer in the next step. Hope you understand that

Q: Set up an integral. No need to evaluate. Show complete solutions with figures and graphs. Consider a…

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Q: Evaluate the integral ∫9−3f(x)dx , where the graph of fest the red curve given in the following…

A: The given semi circle has radius 3 and center at 6,3 fx=xfor-3≤x≤33+9-x-62   for  3≤x≤9…

Q: Evaluate the summation for the indicated value of the variable. 1(1) + 2(2!) + 3(3!) + 4(4!) +…

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Q: Exercise 4 Find the General Solution of the following differential equations. If boundary conditions…

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Q: The total cost of a new automobile, including a 8% sales tax on the price of the automobile, is…

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Q: Problem 3. Let Mnxn (R) denote the vector space of all n x n matrices with real entries. Let S be…

A: The given sets are S=X∈Mnxnℝ : Xt=X , A=X∈Mnxnℝ : Xt=-X. (a) To Find: Bases for both sets. (b) To…

Q: 8. Given y = f(x) and the equations of the vertical and horizontal asymptotes. Determine a possible…

A: Removable Discontinuities : A removable discontinuity occurs in the graph of a rational function at…

Q: Find the inverse matrix of the following system by using the row canonical method. -6 2 7 −4 -8 3…

A: The given matrix is:…

Q: 9. Let A, B be the same matrices from problem 8. If AB - BA = -BA-athen c O c = 8,d=-4 Oc=9, d= -2…

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Q: Complete the following by calculating the cash discount and net amount paid: (If more than one…

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Q: Assume that the relationship between test scores and the student-teacher ratio can be modeled as a…

A: The relationship between test scores and the student-teacher ratio can be written in a straight line…

Q: 1. y" + 3y + 2y = 2. 3. 4. 1 1 + ex y" + 3y + 2y = sin e* y" + y = sec Otan 9x y"-9y=3x 5. 4y" - y =…

A: Note :  '' As per our guidelines we will solve the first question . If you want any specific…

Q: A) {m/m<3) A U (4.5) (2,3) DA

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Q: Consider the dynamical system Vk+1 = AVK where 3 010 Vo= 7 and A = 0 0 1 --- [6] [60 7-6] Find a…

A: Given dynamical system is Vk+1=AVk where, A=010001607-6 and V0=376

Q: 3. Let A = 50 01 2 1 3 2 Onone of these 04 B 3 4 2 3 If A²B³ a b c d then ad - bc =

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Q: Consider the vectors v1 =[-3 2 -1], v2= [-18 15 -15], v3= [3 -3 4] Find if vectors are…

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Q: Problem 4. Let U be the subspace of P4 (R) defined as 1 = {p(x) = 1 € P₁(R) : [ p(x) dx = (a) Find a…

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Q: An investor decides to invest some cash in an account paying 8 % annual interest, and to put the…

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Q: For each graph drawn below determine if the graph is Eulerian or not and expla easoning. If the…

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Q: integers are a subset of the rational numbers

A: To prove a subset of a set, we prove that an arbitrary element from the subset is belongs to the…

Q: 2. Let vectors a = (3, 1, 2), b = (0, 2, 1), and c = (1, 1, -1) be given. Find (2a + 3b). c. • Find…

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Q: 1 16. Let the adjacency matrix for a relation R on the set {a, b, c) be given by 0 1 1 0 is the…

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Q: If a is transcendental over F, show that every element of F(a) that isnot in F is transcendental…

A: Given:  If α is transcendental over F. To Prove: Every element of F(α) that is not in F is…

Percentage

A percentage is a number indicated as a fraction of 100. It is a dimensionless number often expressed using the symbol %.

Algebraic Expressions

In mathematics, an algebraic expression consists of constant(s), variable(s), and mathematical operators. It is made up of terms.

Numbers

Numbers are some measures used for counting. They can be compared one with another to know its position in the number line and determine which one is greater or lesser than the other.

Subtraction

Before we begin to understand the subtraction of algebraic expressions, we need to list out a few things that form the basis of algebra.

Addition

Before we begin to understand the addition of algebraic expressions, we need to list out a few things that form the basis of algebra.