Calculate the value of convergence of the following series: n Σ (n + 1)!" n=4

Q: QUESTION FOUR (a). A curve with equation y= f(z) passes through the point with coordinates (0, 1)…

A: We can solve this using A) substitution method b)separable method as well as c)exact equation

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A: We will use the basic knowledge of triangles and Pythagoras theorem to answer this question for you…

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Q: QUESTION 1 Consider the following LP model and its optimal solution: Maximize: z= 2X1 +3X2 + 4X3…

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A: This is a multivariable calculus problem.

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A: We have to draw vector field of given vector.

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Q: Construct your own problem involving related rates.

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Q: QUESTION 1 If s is a dlosed, piecewise-smooth, orientable surface, which of the following…

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Q: J(u) = [ (x2 + u(t)²)dt min s.t. dri = 12 dt dr2 dt T1(0) = r2(0) = 0 x1(1) = 1 and r2(1)…

A: As per the question we have to find the optimal control law u* , which minimizes J(u) And we will…

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Q: Question 9. K are subgroups of S3. Show that HUK is not a subgroup of S3. It follows that a union of…

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Q: b) Given the differential equation system: (x' = -7x – 18y ly' = 3x +8y Find the general solution to…

A: This is a problem of system of differential equation.

Q: Question 10. Prove in detail that G(T) is a subgroup of G.

A: Here we use one step subgroup test

Q: 3. Show that S, has the presentation (x, ylx* = y? (xy) %3D %3D

A: Given: Group S4 We need to show that S4 has representationx,y|x4=y2=xy3=1

Q: Question 4: least one line m parallel to L.

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Q: QU6. a). Sketch the slope field of the differential equation dy_ = In (xy); within the interval 0<x<…

A: We will find equilibrium line and then sign of slope to draw the direction field . stability depends…

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Q: The time period of the motion u" +192u =0 is a) T = 0.45345 b) T = 0.5345 c) T = 0.54345 d) T =…

A: We can solve this by given information

Q: 1. Consider the polynomials for k = 0,1, ..,11, and let B = {bo,b1,., bị1}. It can be shown that B…

A: We will use the basic knowledge of the change of basis matrix to answer this question completely and…

Q: Which of the following is simply connected? a) the horizontal strip Imz <1 b) the annulus 1</z <2 c)…

A: This is a problem of topology.

Q: 12 n 12 n+ 3.64 2 n converges to The sequence an = Note: You may need to use the command.evalf() to…

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Q: QUESTION 3 a) A sunflower grows 12% taller each week. Currently the sunflower is 2 m tall. Chris…

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Q: W/ す K Openw th Arrctate wth Kermi Maximum Volume An open box of maximum volume is made from a…

A: Given: Consider the following dimensions for an open box with a maximum volume (in the shape of a…

Q: lx)にX sit. ors<I prove that inl Guernesto uniterady. Guveryes to

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Q: 1. For the initial value problems (a) and (b) fill in (by hand) the representative slopes to…

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Q: Forthe O.D.E. find all epuiGbicum sobitious and clossify them Cరణలు ly possifle)

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Q: F(t) = 3 cos(t)ỉ + 3 sin(t)j + 2tk

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Q: Find the decimal approximation of V22 to the nearest hundredth without using a calculator. Show all…

A: Newton-Raphson method uses the formula: xn+1=xn-f(xn)f'(xn) to perform the iterations and to…

Q: 7. A state with n cities has a one-way road between every pair of cities. Show that there is a route…

A: Consider the problem it states that between any two cities X and Y either there is an one way road…

Q: f6) = #(1-|). f(x) -L < x < L

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Q: 6 On the coordinate plane, AABC is mapped onto AAB'C by a dilation with center (-1, 2) and scale…

A: Graph is shown below.

Q: %3D MUTM az əz +y= əz X- dv ay TTM UTN

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Q: (b) Find the solution of the following initial value problem y" – 4y" – 5y' = 9+ 5z, y(0) = 0, y' =…

A: (b) Given ODE: y'''-4y''-5y'=9+5x with initial value conditions y0=0, y'0=0, y''0=4. As per company…

Q: ><y<1} The closure of the set E=. a) b) E = c) E=[0,1] d) E=(0,1)

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Q: II. Find the determinant of the following matrices by row reduction: [1 1 1 11 a 1 1 11 1 3 3 3 3 1…

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Q: can be defired on D, given as the bouinded domain -| sx £3,-3zy23 (aL) Find the criticall point (s)…

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Q: in the proposition in Section 10.4.) Suppose we have a 2 x 2 zero-sum game:

A: Given 2*2 zero-sum game is   C N C a b N c d   a = largest entry d = not the second…

Q: 3. Compute I = udA where D is the surface z r +y? +5 with z, y e (-2, 2| and y 2-z. Contours of y…

A: Surface integral of function f(x,y,z)  along  the surface S  given by z= g(x,y)  ∫∫Sfx,y,z…

Q: Given the data: 2.1 2 1.4 2.7 3.4 3.2 y 12 8. 2 5. 10 17 Determine y at x= 2.5 using: a) Newton's…

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Q: QUESTION 2 F. as. where F(x,y.2)-( Y , and s is the surface of the unit sphere, oriented outward. 4n…

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Q: Evaluate the following integrals. (a) / (csc0)(1+ sin² 0 + sin 0 cot² 0) d0 (b) / dr V-2r2+1 2 -49…

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Q: S() = {2 -1st<0 0st<1 f(t + 2) = f(t) for alle t.

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Q: Find a minimum value for the radius of convergence of a power series solution about xg. -7x- <+12)…

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Q: Problem 1C. Solve the system of linear equations using Crout's LU Decomposition. [X1 X2 11 -10 -2…

A: Given11-10-22-178-11844-194-1-5x1x2x3x4=-116615Here,A = 11-10-22-178-11844-194-1-5 , X = x1x2x3x4…