Find the number of distinguishable arrangements of the letters of the word. SEXTILLION There are distinguishable arrangements. (Simplify your answer.)

Q: In the following linear system, x+2y+ 7z = 5 x+3y+ 9z = 7 x+2y+ (a2+3)z = a+7 determine all…

A: Sol:- To determine the values of a for which the linear system has no solution, a unique solution,…

Q: Use the Venn diagram to shade the given set. A'U (BNA) Use the graphing tool to shade the region(s).…

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Q: Evaluate the given expression. Take 0-5 - [2 _3 -¯§]· 1² 1 -5 5* B 38⁰ 000 100 ↓1

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Q: Find the matrix A of the quadratic form associated with the equation. Then find the eigenvalues of A…

A: The given quadratic form is 3x2-23xy+y2+2x+23y=0. We have to find the matrix A associated with the…

Q: Solve the given initial-value problem. y(x) = - 4y" – 4y' – 3y = 0, y(0) = 1, y′(0) = 7 - 11 He (5)…

A: The given initial value problem is 4y''-4y'-3y=0. Here initial conditions are y0=1 and y'0=7. To…

Q: Solve the given initial-value problem. dy dx y(x) = x + 6y, y(0) = 7 Give the largest interval I…

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Q: Solve the following differential equation by using integrating factors. xy=9y-8x²

A: xy' =9y-8x2A first order linear ODE has the form of y'x+pxy=qxRewrite in the form of a first order…

Q: (a) Prove that any multiple of d is an integer linear combination of a and b. (b) Prove that d…

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Q: Use Newton's method to solve the nonlinear system of equations 3 x³y² + x z² = 3 ( 33 + 52 ) x² +…

A: Newton's method is an iterative method for solving a system of nonlinear equations. The idea is to…

Q: (2) You've used a numerical method with second-order global error to estimate the value of a…

A: Sol:- If the numerical method used has a second-order global error, we know that the error decreases…

Q: c.) 3x²y"-6xy³y' +4x=0 d³y_d²y d.) 3x- 6 dx³ dx² -5xy = 3x²y

A: Concept to be used: 1) Linear Differential equation Let us consider a nth order differential…

Q: Let S\index{1} be a circle passing through A(0,1) and B(-2,2) and S\index{2} be a circle of radius…

A: The equation of line AB is             y-2=2-1-2-0(x+2)                 =-12(x+2)or       x+2y-2=0…

Q: 5) a = 3³1, b = 17

A: The easiest way to solve these type of problems is to use Fermat's Little Theorem. We recall the…

Q: a.) 4xy" +3x³y'-7x = sin(2x)e²x dy dx b.) 5xy+3 = 2e¹¹ N

A: A differential equation is said to be linear if  (1) every dependent variable (i.e y) and every…

Q: Construct the sets Cn and Coo for the ternary code C = {02, 12, 120, 20, 21}. Do the same for C =…

A: (1)  Constructing sets Cn  and   C∞  for the set  C = 02, 12, 120, 20, 21               According to…

Q: 12. : R³ → R², 7(e₁) = (1,3), 7(e₂) = (4,2), and 7(e) = (-5, 4), where e₁,e2, e3 are the columns of…

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Q: Suppose that a and b belong to a field of order 8 and that a2 + ab + b2 = 0. Prove that a = 0 and b…

A: Given: Suppose that a and b belong to a field of order 8 and that a2 + ab + b2 = 0. To Prove: a=0 ,…

Q: Find the arc length (s) of the curve r(t) = (-41³/2 +3, -4t³/2+2, -4t - 4) for 2 ≤ t ≤ 4 S =

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

A: We have to prove that the given statement is true or not. L-1s+4s+42+9=e-4tcos3t.

Q: how can i know the rank of a matrix ? and an augmented matrix? does it depend on the number if…

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Q: (a) A set S1 consists of two vectors of the form u = (u1, u2, u3). Explain why S1 is not a basis for…

A: Given that, a) A set S1 consists of two vectors of the form u=u1, u2, u3. We have to explain why S1…

Q: Find the left-hand and the right-hand derivative of the function.  f(x) = (absolute value x) + 2…

A: The given function fx=x+2. We have to find the left and right derivative fx at the point x=0.

Q: construct a bond amortization schedule given the face amount or par value, redemption value, coupon…

A: Sol:- I can help you create a formula in Excel for a bond amortization schedule. Here's an example:…

Q: Determine whether the matrix is stochastic. 0.3 0.5 0.21 0.7 0.1 0.2 0.1 0.1 0.8 O stochastic not…

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Q: Prove that exactly one of the non-abelian groups of order 8 is isomorphic to a semidirect product C4…

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Q: a) What annual expenditure for 12 years is equivalent to spending $1,000 at the end of the first…

A: Sol:- a) To solve this problem, we can use the concept of the present value of a future payment,…

Q: (a)A line 4x+y=1 through the point A(2,-7) meets the line BC whose equation is 3x-4y+1=0 at the…

A: The equation of the line AB is               4x + y = 1 . . . . . . . . . . . . . (1)  The equation…

Q: Modulo Rules. Find the remainders a=1121 ; b = 7 Answer I 7

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Q: Find the average velocity over the interval 0 ≤ ≤ 0.4, and estimate the velocity at t = 0.4 of a car…

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Q: A drug is administered intravenously at a constant rate of r mg/hour and is excreted at a rate…

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Q: Solve the given initial-value problem. y" + 4y = -5, y(л/8)= y(x) = - 1 y'(л/8)= 2

A: The given differential equation y''+4y=-5 and yπ8=-14, y'π8=2. We have to solve this differential…

Q: a b] . Consider the mapping from M,(Z) into Z given by → a. c d Prove or disprove that this is a…

A: The mapping from M2Z into Z given by abcd→a. We have to prove or disprove that this is a ring…

Q: EX 4B The table is given 1 1 4 Σ;)=(2 -2 1 A = (Σ, Σ, Σ, Σ, -1 22 5 3 2 -4 -3 -7. From the vectors…

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Q: 10. Determine the measures of angles a, b, c, d, e, and f.

A: Here the given polygon is a Decagon (since it has 10 sides). So each interior angle should be 144°.…

Q: To win at LOTTO in one state, one must correctly select 5 numbers from a collection of 49 numbers (1…

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Q: Let f be a function that is defined on the interval [-1,1] so that f(x) = image attachment.  Show…

A: Since given function is                   f(x)=x2sin1x+x2cos1x  ; x∈[-1,0)∪(0,1]     0;…

Q: Kevin opened a savings account with $1400 that pays no interest. He deposits an additional $170 each…

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Q: The APR for loans can also be approximated (however, not within the 1 of 1% accuracy required by…

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Q: Modulo Rules. Find the remainders. a= 3³1; ; b = 17

A: Given: a=331, b=17. We have to find the remainder using modulo rules.

Q: 882 Find the velocity of a particle moving along a line is a function of time given by v(t) = Find…

A: The given velocity is v(t)=88t2t2+1=88t2+1t2+1-88t2+1. To Find: Distance travelled by the particle…

Q: For the following demand equation compute the elasticity of demand and determine whether the demand…

A: Sol:- To compute the elasticity of demand at a price of p = 94, we first need to find the…

Q: Show the derivation of temperature conversion using the linear interpolation method.

A: Sol:- The linear interpolation method is a way to convert temperatures between two different scales.…

Q: Find the general solution of the given second-order differential equation. y" - 8y' + 17y = 0 y(x) =…

A: Given the second-order differential equation is                             y''-8y'+17y=0.

Q: (2) GIVEN: The three points in R³: B C = A = (1,0,1) (1,2,1) (1,1,– 2) FIND: a) the measure of ZACB,…

A: Given three points in R3 are         A = 1, 0, 1  ,   B = 1, -2, 1   ,  C =  1, 1, -2…

Q: Modulo Rules. Find the remainders. ; b = 11 30 a = 13 Answer!

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Q: What are the dimensions of the garden with the largest area she can enclose? length for cedar side…

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Q: A thermometer is removed from a room where the temperature is 21° C and is taken outside, where the…

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Q: 11. Let R₁ and R₂ be the relations on {1,2,3,4} given by R₁ = {(1,1), (1,2), (3,4), (4,2)} R₂ =…

A: Sol:- To find R1 o R2, we need to compose the two relations. The composition of relations R1 and R2…

Q: Given two equivalence relations R and P on A. Prove that (RUP)+ is an equivalence relation.

A: Sol:- To prove that (R U P)+ is an equivalence relation on A, we need to show that it satisfies…

Q: EX 4A The table is given 1 -2 1 -1 2 2 2 -4 -3 Find the reduced scalar form of matrix A and then…

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