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Q: 1. Show that m*(Q) = 0, where Q is the set of rational numbers. 2. Let x e R. Then m*(A) = m*(x + A)…

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Q: Solve the system 12 -5 dx dt 30 -13 with the initial value -1 x(0) -5 æ(t) =

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Q: A game uses a single 6-sided die. To play the game, the die is rolled one time, with the following…

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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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Q: Question 2: CLIMBING MOUNT FUJI The Gotemba walking trail up Mount Fuji is about 9 kilometres (km)…

A: While ascending, the distance is 9 km and the speed is 1.5 kilometers per hour. The relation between…

Q: Q.3. Use the method of Laplace Transform to solve the initial value problem d y" + y+y 3 sin(2t),…

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Q: Use the Direct Comparison Test to determine the convergence or divergence of the series. 1 Σ 3n2 + 6…

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Q: 0 if 0 3 Solve the IVP y" + 5y' + 6y =

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Q: Consider the following two ordered bases of R³: {(-2, –1, 1), (2, 2, –1), (3, 3, –2)}, {(-2,1, 1),…

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Q: Solve the tollowing problems. 2. 2x°cos 5y+ x tan5y dy=0

A: Introduction: Separation of variables (also known as the Fourier method) is one of several methods…

Q: 4 of 22 During a three-way tug-of-war competition, each of the three ropes is tied to a center knot.…

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Q: Question 15 Demand Refer to the figure above or click here e to open the same image in Flickr if…

A: Note: We are entitled to solve only one question at a time. As the specified one is not mentioned,…

Q: Use the Direct Comparison Test to determine the convergence or divergence of the series. 8" 9n + 2 n…

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Q: Find the present value of an ordinary annuity with deposits of $6,258 each year for 8 years at 9.6%…

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Q: Σ S(0.881)" n=1 8.

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Q: Let T10 (x): be the Taylor polynomial of degree 10 of the function f(x) = In(1+ æ) at a = 0. Suppose…

A: The given function is fx=ln1+x. The Taylor series of f at a=0 is: fx=∑n=0∞-1nxn+1n+1 If x>0, then…

Q: . Find the Fourier transform of (x if 0<x< a f(x) 0 otherwise

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Q: Vx:x is odd

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Q: You invest in an annuity with a regular deposit of P%-D250 dollars each month. The annuity pays an…

A: Given: P=250, r=0.030 and i=r12 The balance in the annuity is described by the sequence, b1=P,…

Q: A firm estimates that it will sell N units of a product after spending x dollars on advertising,…

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Q: WHite the Nen secxand ordeequation as is equivalent svstem of hrst order equations. u"+7.5u-3.5u =…

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Q: ESTION In what proportions should one mix hazelinuts at $24/g with almonds at $40/kg to obtain a…

A: Given total mixture = 200 kg Hazelnuts = $24/kg    Almonds= $40/kg Let x kg of hazelnuts and (200-x)…

Q: Use the Ratio Test or the Root Test to determine whether the following series converges absolutely…

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Q: Determine if S3 e S3 is solvable.

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Q: Determine whether the series 11n? + 8n + 32 is n³ + 3n2 – 7n + 1 n=1 convergent or divergent. b)…

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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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Q: 4. Knowing that 1 + 3 + 5 + …+ (2n – 1) = n², find 1++3 +5 + .…+ 135 =

A: Solution :   Given that  1 + 3 + 5 + ... + (2n - 1) = n2    -----(1)

Q: DETAILS WANEFMAC7 6.4.016. Minimize c = 37x + 10y +37z subject to 3x + z 2 8 3х + у - z 2 6 4x + y-z…

A: We solve it by simplex method.

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: It is possible to write æ* as a linear combination of Chebyshev's polynomials, for example a² =…

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Q: Assume xo = x2 – 2h, *1 = 12 – h, a3 = x2 + h, 24 = x2 + 2h Use the undetermined coefficients method…

A: To solving the system we use the Gaussian Eliminating and back substitute method

Q: 3.Evaluate || F. ds where F= zi+x j +y k and 'S' is the surface of the cylinder x'+ y=1 contained in…

A: Given that ∬S F→·dS→ where  F→=z i^+x j^+y  k^ .......1and  S is the surface of the cylinder x2+y2=1…

Q: Describe the nature of intersection between the following planes. 2x - y+2 = 3 4x-2y+ 22 =4 -2x+y-z…

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Q: 19. For the three-part question that follows, provide your answer to each part in the given…

A: Part (A): To write: characteristics of Stretch transformation. Part(B): To Write: the difference…

Q: Give two (or more!) examples of sequences (a„) such that a, → 0 but E1 an diverges. Give two…

A: We have to give two examples of sequences an that an→0 but ∑n=1∞an diverge and we have to give two…

Q: Show that f '(x) is a continuous function for all x, on the interval -L < x ≤ L f(x) = (x / L) (1 -…

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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

Q: 7) Given the circle below, find x, in simplest radical form. 4 8.

A: Let us solve the given problem for x in the next steps.

Q: Find the number in the interval , 2] such that the sum of the number and its reciprocal is a…

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Q: sin" zweos 2wdw

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Q: Construct your own problem involving related rates.

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Q: : 0s 0s n, Os zs 1, 6Vzs rs 6}. Let E= Compute y?e(x2+y?)³ dv•

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Q: Let A(x) represent the area bounded by the graph, the horizontal axis, and the vertical lines at t =…

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Q: Consider F and C below. F(x, y, z) = yzexzi + exzj + xyexzk, C: r(t) = (t2 + 1)i + (t2 − 1)j + (t2…

A: Given data F(x, y,z)=yzexzi+exzj+xyexzkC: r(t)=(t2+1)i+(t2-1)j+(t2-2t)k,  0≤t≤2

Q: The series 2+ Vn2 1+ Vna n: is convergent if and only if: Select one: O a. 72 a d. 35 a 4

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Q: A toy factory creates miniature steel train engines and box cars. The fabrication department has…

A: We have to find the number of miniature steel box cars and steel train engines to maximize the…

Q: 8. Using the graph of f(x), calculate the following: a) lim f(x) b) limf(x) f(x) X-0* X4 c) At what…

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Q: A firm estimates that it will sell N units of a product after speñdi N(x)- + 50x+ 8, 9. advertising,…

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Q: Express all answers in Rectangular Form. 1. (1 + j3)z² + (5 + j6)z + 7 – j6 = 0 2. 3z? – (5 – j4) z…

A: Since you post more than three subparts questions as per our guideline we can solve only first three…

Q: find the Linear transfromation Ti Manz (R) whose matrixM t7 1- -1-

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