Find (2x + 3y)dA where R is the parallelogram with vertices (0,0), (-2,-5), (5,1), and R (3,-4). Use the transformation = 2u + 5v, y = - 5u+v.

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Q: Total personal income of the country (in billions of dollars) for selected years from 1956 to 2001…

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Q: Problem 11.3_4 Use the fact that F[1/(1+t²)]=ne and Parseval's equality to show that dr म 2

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Q: QUESTION 7 What is a possible set of values of zfor which sin(z) = j? O z = z = 2nn- jln(√√2 + 1), n…

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Q: 35 Let I(m, n) be a function that satisfies the relation I(m, n)m + I(n, m)n = gcd(m, n), when m and…

A: Given Data: It follows that, Let I(m, n) be a function that fulfils the relation I(m, n)m+ I(n, m)n…

Q: a) IM8 M8 b) Σ 272 n! Determine which of the following series converge: 1 2n 3n

A: We apply D'Alembert's test for convergence of given series.

Q: Use a determinant to calculate the area of the triangle. 13 12 11 10- 9+

A: Given coordinates of vertex of the triangle are x1,y1=0,0x2,y2=2,10x3,y3=-10,12

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Q: solve the de 2ydx + x(2+x²y)dy=0

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Q: σ Determine if series converges absolutely and/or conditionally. 00 1) Σ n=1 η 1-3 η – 3 ;) Σ(-1)",…

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Q: l algebraic number of degre

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Q: Let C denote the positively oriented circle |z| = 1. Show that cos(z) dz= CZ(z + 8) πὶ 4

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Q: The complex Fourier series representation of a periodic function of period 27 is given by 00 Fs(t) =…

A: Here c0 is not defined. Using the given information cn=an+bn |cn|=√(a2n+b2n) Phase=arctan(bn/an)

Q: Determine which of the following statements is true about the tableau shown below. BV P X1 X2 S1 S2…

A: Introduction: In standard from of a minimum probelm, all the constraints should be in '≥' formIn a…

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Q: 2. Consider an ODE of the form:   x2y′′+axy′+by=0 with given constants a and b and unknown solution…

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Q: Determine which of the following series converge: «Σ+ (50+ 3) d) n=1 1 g) Σ (3n – 2)(3n + 1) n=1

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Q: The complex Fourier series representation of a periodic function of period 27 is given by 00 Fs(t) =…

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Q: If the first 4 terms in a gp are 3, -6, 12, -24 what you is the common ratio

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Q: Find the Jacobian of the transformation x = u - 3v, y = u² − 6v

A: Solution :-

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Q: Find the slope of the line that passes through the points (-5,2) and (-1,6). ← Previous

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Q: f(t) = 0 3+6t² 0 = in terms of unit step functions and hence determine F he Laplace transform of…

A: We have ft=0t<03+6t20≤t<60t≥6 We know formula for the Laplace transform of f(t) is…

Q: Find (2x + 3y)dA where R is the parallelogram with vertices (0,0), (-1,-4), (-3,-2), R and (-4,-6).…

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Q: basis: The set B = {4x² – 3, 16x² − (12 + x), 28 + 2x − 36x²} is a basis for P₂. Find the…

A: Answer  Given p(x)=108+9x-140x2 and B={4x2-3,16x2-12-x,28+2x-36x2}

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Q: Find the differential equation characterizing the family of curves described. Sketch at least three…

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Q: *4. Find the Fourier series for sin t]. An oscillating system with natural frequency w (a constant)…

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Q: Eliminate the arbitrary constants Inx = Asin3y + Bcos3y + 9x² - 5

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Q: Recall that the standard basis of R³ is {E₁, E2, E3}. If T:R³→R² is a transformation and the action…

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Q: Let C denote the positively oriented circle |z| = 1. Show that 2 sin(z) dz = a) 4z + π C - Ti √√2

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Q: The roots of a d.e are -1, 2+√3 What is the solution? y = ex(c₁ cos 3x + c₂ sin 3x) + c3 cOS X + C4…

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Q: 8. Create a cubic polynomial inequality for which x = 0 or x ≥ 3 is the solution. Explain your…

A: A very good problem of a different type. Note that the idea lies in a cubic polynomial. We have to…