How many ways can 10 people line up at the front of a class if Billy and Samantha are together? O 362,800 725.760 80.640 3.628,800

Q: 1. Use the Lagrange's formula to find the quadratic polynomial that takes these values 1 Then, find ...

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Q: 14. Fill in the squares using the digits 4, 5, 6, 7, 8, and 9 exactly one time each to make the smal...

A: In this problem, 6 digits are given. We have to make two 3-digit numbers using those exactly once.  ...

Q: Any possible arrangement of 8 letters is considered a word.  The letters are taken from 21 consonant...

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Q: 5x²+3 dx x (x²+2)

A: Given: Let us consider the given,∫5x2+3xx2+2dx

Q: (x – 2)" (2n – 1)(2n) 00 | Find the interval of convergence of the series | n=1

A: Power series: A series of the form ∑anxn, where ai's are constants, is called power series in x cent...

Q: Simplify (금아 (-금-))" Gois (-)) (2- v3 – )* 4.17 (-) 3.89 2 TC 3.63 Z 3.89 2-지

A: Use the following formulae, to obtain the solution. The polar form of the complex number z=x+jy is ...

Q: 5. Find the inverse, if it exists, of each of the following: 1 2 0 -2 0 1 -2 2 1 1 1 (a) A= 1 0. 3 1...

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Q: 1. true or false. justify your answer. (a) |x + iy| < |x|+ |y| (b) arg(-2+ 10i) = T – tan-(5) + 2nn ...

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Q: 5. Find two sets of polar coordinates for the Cartesian point (-7, 7/3) such that 0<0<2T.

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Q: 2. Find U, A, and NE,Ą, where: a. A = {-i, i} for every positive integer i. b. A = {i°, i', i²} for ...

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Q: Translate each of the following into symbolic proof and provide the reason for each step:   If I'm...

A: Since you have posted a multiple question according to guildlines I will solve first question(Q1) fo...

Q: 5 prove graphically (for strictly convex labor/leisure indifference curves) that workers can always ...

A: the framework that economists typically use to analyze labor supply behavior is called the neoclassi...

Q: Evaluate: 5! ÷ 2! Your answer

A: The factorial of a positive integer number n is the product of the integer number 1 to n. I, e. n! =...

Q: Find the values of the unknowns x and y. 3 0 y -4 -5 If: Is 3 x -2 1 a. 3, 1 b. 1.3 c. 3,2 d. 2, 5

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Q: Given that ?(?) = 7 . (a) Find the power set of the given set

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Q: The acceleration of a particle as it moves along a straight line is given by a-21 -1. Ifs 1 and y- 2...

A: Given the acceleration of a particle as it moves along a straight line is given by a=2t-1 m/s2, If s...

Q: 2. Let r > 1. Prove that lim r" = 00,

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Q: Generate E ∼ Exp(

A: Hi there! Thanks for posting the question. Since there are multiple subparts we have solved first th...

Q: Determine the percentage relative error (In 2 decimal places) when we compare the derivative of 12e^...

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Q: Q16: Is the differential equation (cos x+ In y) dx + dy 0 exact? %3D

A: Let us consider the given equation Mdx+Ndy=0 The equation is said to be exact if ∂M∂y=∂N∂x The solut...

Q: 3. Given the following system: x, - 2x, + 2x, + 3x, = -1 -3x, + 6x, + x, + 5x, =-11 2x, %3D 4x, 2x, ...

A: Given: Let us consider the given systems, x1-2x2+2x3+3x4=-1 -3x1+6x2+x3+5x4=-11 2x1-4x2-2x3-6x4=10 (...

Q: given the function h(x) = - x/2 + 1 calaculate the values of h(-2) and h(3)  and draw a graph.

A: We have to evaluate the value of the function hx=-x2+1 at the points x=-2 and x=3. First we have to ...

Q: Q-: a) Four married couples have bought 8 seats in the same row for a concert. In how many different...

A: Please post questions with multiple parts separately.a) There are 4 couples which mean there are 8 p...

Q: 2. Method of variation of parameters x" + 2x' + 8x = 2e-2t – e-t, x(0) = 1,x'(0) = 0 %3D

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Q: 1. Find curl(v) of the following in terms of (x1, x2, X3) and (e1, e2, e3). If curl(v) = 0, find the...

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Q: Let T:R + R be the linear transformation defined by - (E)-H - () -- -()-A T T Is this linear transfo...

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Q: Q4 Give an example of a vector space V over a field F, and of a linear transformation T :V → V that ...

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Q: Errors associated with both calculations and measurements can be characterized with regard to the fo...

A: Correct Anst is Prediction.

Q: X"+5x'+4x=2t^2+4 with IC x(0)=3 and x'(0)=1 Find x(0.25) to at least 3 decimal places of accuracy.

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Q: Suppose that the only barrio is located at the center of a circular field. If a researcher needs to ...

A: (a) We know that distance between two points O (x1 , y1)   and   A(x2, y2) is given by formula, d=di...

Q: n a b=1

A: Here we will use combinatorial formula  nCr+nCr-1=n+1Cr

Q: Determine whether the series converges using any appropriate test. Identify the test for convergence...

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Q: Explain in a sentence how to use natural deduction proof to show that an argument of TFL is valid

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Q: Find the inverse s of -6854 modulo 979 (note that 0 ss< 979). Justify the existence of the inverse b...

A: find the inverse of -6854 modulo 979 using euclidean algorithm 6854=7×979+1⇒6854×1=7×979+1⇒6854×1-1=...

Q: the inverse, if it exists, of each of the following 2 1 0-20 (a) A= 1 1 -2 3 2 2 1 1 [1.

A: We will use Gauss Jordan elimination method to find inverse of matrix  While using elimination if al...

Q: Proposition or not a proposition? Today is MMW class day. 1 1 All plants are animals.

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Q: If fufe.- fuave diffa Veubable at'xo eI fuave difle Veubable at Xo eI Pi:I R,ists-n prove O firfet--...

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Q: The value of x that satisfies f(x)= 0 is called the (A) root of an equation f(x)=D0 (B) root of a fu...

A: Real valued function  

Q: e) In a net present value (NPV) analysis it is found that proceeding with a contract with required r...

A: Solution

Q: 3. Let A = P({1,2}), B = P({2,3}), and C = P(Ø) where P(S) is the power set of S. Find the result of...

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Q: OLet p and q be statements. Use only ONE suitable method throughout to determine preciscly whether t...

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Q: An athlete runs 3 mi in 24 min. This athlete Choose. an athlete who runs 4 mi in 33 min. Choose. is ...

A: Given: An  athlete runs 3 mi in 24 min. An athlete runs 4 mi in 33 min.

Q: Given that cos A = 3s. Find the tangent of A. Select one: O a. (1- 9s² )^( ½ )/3s O b. (1- 9s² )^( ½...

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Q: Let A = {#, 7, x} and let R be the relation on A given by R = {(7, 7), (#, #)}

A: R is  said to be reflexive relation on A if for all x in A, xRx holds.  R is said to be symmetric re...

Q: Find the quadratic polynomial whose graph passes through the points (1, 18), (2, 35), (3, 60). NOTE:...

A: To find  The quadratic polynomial whose graph passes through the given points 

Q: (II) [1 pt.] Repeated root. Solve this IVP: y" – 4y' + 4y = 0, y (0) = 3, y' (0) = 0

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Q: Question 3 Consider the DE y' = y + 9y + 8y³. A) Find the critical points of the DE. B) Sketch the s...

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

A: We can solve this using newton raphson method

Q: A population grows according to an exponential growth model. The initial population is Po = 12, and ...

A: Given P0=12, r=0.35 Population of An exponential growth model    

Q: Find a vector equation and parametric equation

A: Given, the point (2, 2.6, 3.1) and parallel to the vector 2i + 3j - k.