How many 3-digit numbers can be formed from the prime numbers from 0 to 10 if the repetition of the digits is not allowed?

Q: Determine the sum of the following series. 4" + 7" 12" n=1

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Q: The function C(t) = Co(1 + r)' models the rise in the cost of a product that has a cost of Co today,…

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Q: State whether the statement is always true, sometimes true, or never true: "Let C be the graph of a…

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Q: 3. a, =a,,+4", for each integer k21, a, =3 30

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Q: 4. The inverse Laplace transform L-1{s/(s²+8s +20)}

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Q: (a) (12537)-1 (c) [(1235)(467)]-2

A: We have to calculate (a) 12537-1 and (b) 1235467-2

Q: 1. Solve the initial-boundary value problem du 2 32u 0 0 3 dx2 u(0, t) = u (4, t) = 0 t > 0 u(г,0)…

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Q: . b = . Find the Find the Span(a, b)? C 3. Let a %3D %3D

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Q: The value of cosh(3z+1)dz, where C is the line segment from z=1 C to z= 2i. O a. (-sinh(6i+1)+sinh…

A: We have to find the value of integral,  I = ∮Ccosh(3z+1)dz  ;  where C is the line segment from z=1…

Q: Question or the function given below, write Newton's formula as x+1 F (X,) for solving f(x) 3D0. f)…

A: Given f(x) = -x2 + 2x + 9

Q: Use the Limit Comparison Test to determine the convergence or divergence of the series. 4" + 1 7" +…

A: Series and sequences, limit comparison test for converges

Q: - -2 -2 -5 A = -5 6 -2 and 6= 15 -50 Define the linear transformation T : R → R by T(7) = Aa. Find a…

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Q: 3 -2 7. Let u , and y . Let W = Span{, . -1 2 3 13 (a) Verify that {u,, ư2} is an orthogonal set.…

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Q: The population of one state increases at a rate numerically equal to the cube root of the…

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Q: Find the orthogonal projection of V = onto the subspace W of R' spanned by U1 = , U2 Uz = VW ||

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Q: For the following data (6, 6, 2, 2, 4, 4, 8, 2) , the mode equal 6 and 2 O 6 and 4 O 6 and 4 and 2 O…

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Q: R.1. Consider the relation R = {(x,y): x,y eR & x² = y*}. Prove that R is an equivalence relation on…

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Q: Which of the following equations could be graphed to deermine the solution to 4 2-3* a. Y1 = 2 Y2 =…

A: to find the solution of f(x)=g(x), draw the graph of y=f(x) and y=g(x) their intersection point is…

Q: Exponential Regression The table below shows the value, V, of an investment (in dollars) after n…

A: Given, V: investment (in dollars) after n years n 0 3 7 13 14 19 V(n) 3000 3307.1 3947.8…

Q: Let T and T' be topologies on a set X such that T' is strictly finer than T. If Y is a subset of X,…

A: The two topologies τ and τ' is defined on a set X. It is given that τ' is strictly finer than τ. By…

Q: I. Determine whether the infinite series is convergent or divergent. 7. E(-1)" 1+00 n2 8. Σ(-1)" "…

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Q: The matrix 0 3 0 3 -6 A = -6 has two real eigenvalues, one of multiplicity 1 and one of multiplicity…

A: The solution is below.

Q: The other type of question in chapter 7 is solving trigonometric equation. We will not be practicing…

A: Solution : Given Special angles are  QI   :  30° , 45°  , 60°  QII  :  120° , 135°  , 150°  QIII  :…

Q: The region Ris shown in the figure. Find the limits of integration. 1, f(2, y)dA = | f(x, y)dydx+…

A: Given Parallelogram with points A=1,3,B=4,3,C=5,6 and D=2,6 Equation of the line AB is y=3 Equation…

Q: Find the volume of the region bounded by y = cos x, y = 0, 37 rotated around the x-axis. x = 0, and…

A: We have to find the volume of the region bounded by y=cosx, y=0, x=0 and x=3π2 rotated around the…

Q: Determine if the two figures are congruent and explain your answer using transformati H

A: Introduction: The transformation rules are given as, Function notation Type of transformation…

Q: The annual National No Spying Day is celebrated at KAOS headquarters th gents and 14 KAOS agents…

A: There are 11 control agents and 14 KAOS agents To select a team of 9 we need 3 control agents and 6…

Q: -20 40] Find the eigenvalues and eigenvectors for A -8 12 The eigenvalue a+ bi = has an eigenvector…

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Q: 3 d²y +3y[ dy + dy .3 2 dx = 5x dx dx

A: We have to identify the independent variable, dependent variable , order and degree of the given…

Q: 7. If L' { f(p)} = F (t) then L' {f( p - a) }is : c) (1/a)F (t/a) d) t"F (t) a) eat F (t) b) (-1)"t…

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Q: tion of line of re egression coeff (y – 7)

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Q: S n +1] (d) In(6n) { n=2

A: According to guidelines we solve one question.thanku

Q: Let 3. A 3. 6. 3. -3 3 6. Find an orthogonal matr P and a diagonal matrix D such that D P"AP. D = P…

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Q: laimed to be 27 cubic inches, correct to within o estimate the propagated error in the cube. ceer

A: Solution

Q: Exponential Regression The table below shows the value, V, of an investment (in dollars) after n…

A: Use the calculator to write the exponential regression as follows:

Q: 5)

A: Given,

Q: Give a power series representation for the following. x/1+x^4

A: Give a power series representation for the following. x/1+x^4

Q: Suppose that you borrow $17,000 for four years at 6 ​%  toward the purchase of a car. Use PMT equals…

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Q: 4. A dietitian is to arrange a special diet composed of two foods, M and N. Each o food M contains…

A: A mathematical statement, which states that two expressions are not equal is called an inequation…

Q: Express the solution of the initial value problem y" + 9y = g(t), y(O) = 2, v'(0) = 1 in terms of a…

A: The solution is given below

Q: Which of the following is the adjacency ma- trix of the given graph? 1 2 4 3 [1 2 2 1 2 0 1 2 11 1 0…

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Q: Represent f(x, y) (0<x < 2, 0 < y < 4) by a double Fourier series пту f (x, u) = EBin Ssin () sin…

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Q: Proof [(pAq)=r] = [p=(q=r)] using the rule of replacement.

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Q: 2. The inverse Laplace Transform of the function F(s) = 4s+2 / s²+2s+5 is : (a) e* cos 2t + 2e* sin…

A: Given function is Fs=4s+2s2+2s+5

Q: B. Jse Gauss-Jordan method to solve the following simultaneous equations: K+3X2=2X, K2-3X+X=8…

A: We have to solve the given system of linear equations using Gauss -Jordan method.

Q: In(]æ| – 1) lim %3D (cos(x))=

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Q: diagonalizes A, and determine P1AP (Notice that the order of the eigenvalues and corresponding…

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Q: Find the length of arc of the given curve. 5. R= (sin 2t, cos 2t , 2t³/2), 0 sts1.

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Q: Prove the following using the rule of replacement and rule of inference. (p=q)^(r=s) : (pvr)=(qvs)

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Q: 2. What is the solution to the initial-value problem - 0 <x< 00 U = c²u Su(x,0) = 0 (u,(x,0) = xe-*²…

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