2. For n > 1, let sn denote the number of n-bit strings that do not contain the pattern 001. (1). Compute s1, 82, $3, 84. (2). Find a recurrence relation for the sequence si, 82,..., Sn, ....

Q: Зх — Зу — 6z %3D —3 2х — 2у — 4z %3D 10 2х + Зу + z %3D7 -

A: The equations can be expressed as x - y - 2z + 1 = 0x - y - 2z - 5 = 02x + 3y + z - 7 = 0

Q: Зу— 6z %3D — 3 2х — 2у — 4z %3D 10 2х + Зу + z % 7 Зх —

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Q: 10 Find the projection of v = -14 onto the -15 -4 -4 3 subspace W of R' spanned by -6 | and 6 - 910…

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Q: Solve the variational problem S v +2y (x +y)] dx = 0, given y (1) = y (2) = 0. [x2

A: The complete solution is in given below

Q: 16. Classify each differential equation as separable, exact, linear, homogeneous, or Bernoulli. Some…

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Q: 2. I3D X-に-A

A: To find: Area of the shaded region in adjoining figure.

Q: (H) L~* [cot** ())

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Q: 10 Find the projection of u =-14 onto the -15 -4 -4 subspace W of R' spanned by -6 | and 6.

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Q: Addition Principle a) You are buying one item of clothing for yourself. You can choose from 5…

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Q: Find the volume of a cone with a base diameter of 8 ft and a height of 8 ft. Write the exact volume…

A: We use volume formula for cone.

Q: x2 – 2r – 3 c(x) = x2 + 4x – 5 2. Fill the Table: 3. Graph the function:

A: Given that cx=x2-2x-3x2+4x-5  To plot the function and fill the table, we put some arbitrary values…

Q: A curve C is defined by the parametric equations x = 1- t2 y = t – t3 (a) Show that C has two…

A: To check concavity we eliminate t of the parametric equation and we see that the curve is union of…

Q: Use the method of reduction of order to find a second solution of the differential equation ty" –…

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Q: What is the Partial Fraction formm of the integrand in f 17+19-13 (2+1Xx-2) dx? A. C. + (*-2) (-2)…

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Q: Find the solution of the initial value problem y" + 2y' + 2y = 0, »(E) = 0, y' = 7. y(t) =

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Q: Find the general solution of the differential equation y" – 4y' – 21y = -47t + 42t². NOTE: Use t as…

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Q: Find the Taylor/Maclaurin series centered at c F(x) = lnx, C=1

A: To find the Taylor series of f(x)=ln(x) centred at c=1.

Q: A set of linear equations is represented by the matrix equation AX = B. The necessary condition for…

A: Given: A set of the linear equations of the matrix form AX=B.

Q: 4. Let f(x, y) = sin(x²y) + vx + e+y. Find the equation of the tangent plane to the surface z f(x,…

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Q: By using Laplace transform to solve y' +4y +8y = sint with y (0) = 1 and y (0) = 0, what would be…

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Q: 4. Explain why pentagons cannot form a regular tessellation.

A: To explain why pentagons cannot form a regular tessellation. Firstly, we define what is a regular…

Q: Given: Min Z=600,000x+500,000y 300x+100y>900 200x+100y>800 150x+150y>750 Solve for z

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Q: PROBLEM: Find the maxima/minima of the function: f(x) = 30x* – 121x³ + 60x² + 64x using Newton's…

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Q: Let u be a solution of the wave equation uu - 2u = 0. Pick four distinct characteristic lines two of…

A: Given: The wave equation, utt-c2uxx=0, of which u is a solution. Four distinct characteristic lines,…

Q: Give examples of fields containing 4, 8, 9, &27 elements.

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Q: 5. Compute sin a e + 3e¬z

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Q: Completed as soon as possible thank u Suppose there is a firm with at least some market power that…

A: Given: A firm with some market power supplies the same product to two markets.

Q: Find the solution of the initial value problem 1 8y" – 9y' + y = 0, y(0) = 8, y/(0) : 8° Then…

A: Use the given differential.

Q: Do the given points lie on a straight line? а. (1, -1), (-1, -5), (2,1) b. (-2, 2), (5, -8), (-7, 9)

A: The slope of the line between the points x0, y0, x1, y1 is y1-y0x1-x0. Calculate the slope of the…

Q: Perform each using the polar form of z. 2(V3-i) 3. (1+1)2 Final answer should be expressed in terms…

A: Which is the polar form.

Q: 5. Solve Equations 2x+y+z=5,3x+5y+2z=15,2x+y+4z=8 using Gauss Seidel method

A: Given equations are2x + y + z = 53x + 5y + 2z = 152x + y + 4z = 81

Q: Use the method of variation of parameters to find a particular 32e*/2 that does solution of the…

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Q: obtain the values of the following integrals. sin²nz+cos²nz dz on the contour |z – il = 3 A)…

A: A) the given integral is                      ∮z-i=3sin2πz+cos2πzz-1z-2dz Here the poles are at 1,2…

Q: (a) Determine the adjacency matrix A of the graph. (b) Compute A. How many walks of length 3 are…

A: This is a question of Graph Theory.

Q: Find the solution for the system of Linear equations using Gauss-Jordan Elimination of the augmented…

A: First, write into matrix form then find augmented matrix.

Q: Suppose that the 2004 state of land use in a city of 60 mi? of built-up area is C: Commercially Used…

A: The complete solution is in given below

Q: Find the Solution (1+12) ds + 21[st² – 3(1+12)²]dt = 0; when t = 0, s = 2.

A: A linear polynomial equation which contain derivatives of some variables is named as linear…

Q: The function f(x) is graphed on the coordinate grid. 1 The function g(x) is given by g (x) = 1.5* .…

A: The function fx is given in the question. gx is given by gx=1.5x We have to find g2-f2

Q: 1. Use the cylindrical coordinate to evaluate ff. x² + y²dV _where G is the solid bounded by…

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Q: Find the area and circumference of the circle represented by the polar equation r = 6 cos 0 using…

A: The given problem is to find the area of circle and circumference of the circle for the given circle…

Q: If possible, find a single matrix equal to the fo -2 9 (a) 5

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Q: ×- -X+ し SY STEM = ニ メ=ーと 2) a tbt ーt ニ t d山

A: This is a problem of linear transformation.

Q: A potential function for the vector field F(x, y, z) = (yz, xz + z, xy + y+ 1) is (x. y, z) = xyz +…

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: in two way ANOVA, if factor 1 has alpha levels and factor 2 has b levels then there are a total of…

A: there will be a total of axb  treatement. option b is correct answer

Q: A silo consists of a right circular cylinder surmounted by a hemisphere. Find the most economical…

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Q: (1) Consider the following differential equation, with time domain t e (0, 1): Sv = (-1)y. u(0) = 1.…

A: The complete solution is in given below.

Q: For values x=[ 1:1:25] , plot y1=2 x +1 and y2= x+

A: This is a question of plotting points in an interval, it is a question from real-valued function.

Q: Find the solution for the system of Linear equations using Gauss-Jordan Elimination of the augmented…

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

Q: I.3 COMPLETE SOLUTIONS.

A: