For a functionf: R R, it is known that f(2,3) = 4, f-(2, 3) = -1, and %3D %3D fu(2,3) 1. Then, the best possible approximation for L (z.u) dz dy is %3D

Q: 18.7. Let f(z) = (e + e-2)/2. Evaluate f(2) -dz, where y is any %3D simple closed curve enclosing 0.

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Q: MATHE ADVANCE ENGINEERIN Answer the following with explanation What Mclaurin Series this function re...

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Q: -6 -5 -4 The plot above is created with the parametric equations Sx(t) = a cos(bt) ly(t) = c sin(dt)...

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Q: Correct

A: We find the required equation of line.

Q: Find the first four nonzero terms in the Legendre series of the function f(4) = { ?; for – 1<x<0 for...

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Q: 2. Let N = {A, | ne N}, where A, = {n,n+ 1, n +2, ...}. (a) Find UN and prove your conjecture. (b) F...

A: we have given Ω = An n∈N where An =n, n+1, n+2,...... we have to find (a) find ∪Ω and prove your con...

Q: Determine whether the members of the given set of vectors are linearly independent for -o < t < o. I...

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Q: o sets are equal if and only if A=B b. ACB and BCA c. AcB and BCA d. ACB and BCA а.

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Q: (b) Show that if m < n, then any m x n such array can be extended to a (m + 1) x n array satisfying ...

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Q: The bottom of a large theater screen is 6 ft above your eye level and the top of the screen is 20 t ...

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Q: 1. Solve the Laplace equation defined by the figure below T-0 T-100 by the conformal mapping techniq...

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Q: find the measure of <1 243°

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Q: Express the integral as an equivalent integral in which the z-integration is performed first, the y-...

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Q: 1. Find the volume of the solid that lies within both the cylinder a2 + y? = 25 and the sphere x² + ...

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Q: 4. Use Laplace transforms to solve the following initial value problems. d?x "+2+4x = 0, x(0)=0 , x'...

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Q: Ans 1- Prove L{et coskt} = S+a We Know that ast Hen L{eat.coskt}= fat at coskt dt -st-at • coskt dt ...

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Q: 2. Find the Fourier transform of f(t) defined by: -5. -T st<0 0<tST 0 Elsewhere f() = 5. where T is ...

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Q: log (1 + ax) 1+ x? dx and hence show that =. Evaluate 0, ' log (1 +x) dx = log, 2. %3D 0, 1+x

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Q: . Suit Sales The number of suits sold per day at a retail store is shown in the table, with the corr...

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Q: etermine whether the given series is convergent or divergent. Justify your answers. (2n)! 2n 1 a) 2 ...

A: We use convergence test for series.

Q: Find the inverse Laplace transform of: 1 1+2s (a) (b) s+7 - 2 s+4 (c) (d) s' +6s +10 s' + 2s +5

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Q: Definition 3.46 Let S be a surface in R° represented by F(r, y, 2) = 0. The normal line to S at a po...

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Q: Find the general solution of the differential equation: y+4y = 3 sin(2t) Use lower case c for the co...

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Q: Let D be the solid which is obtained by rotating the region bounded by the curve y = r+x-2 and y = 0...

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Q: Let A, B, C be sets. Use a sequence of set equalities to show that: AU(BnC) = (C UB)n A

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Q: 8. A plane intersects the center of a sphere that has a volume of 1436.76cm3. a. The cross section i...

A: 8. 1. Solution: Here the sphere is cut by plane from center. Here we may observe that the shape of ...

Q: Prove that if a point is contained in two angles of a triangle, then it is contained in the interior...

A: In a triangle, any two angles are adjacent (i.e, sharing a common hand)

Q: Let a1 a2 3 , and b = -18 Determine whether b can be written as a linear combination of a1 and a2. I...

A: We are given 3 vectors a1, a2 and b . We have to determine whether b can be written as a linear comb...

Q: Detemmine whether each pair of triangies is similar. If similarity exists, identify the similar tria...

A: We have to show that pair of triangles  is similar or not similar.

Q: Proposition 9. Let n be a non-negative integer. Then 1+2+4+ 8+ ..+ 2" = 2"+1 – 1. Special directions...

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Q: Proposition 9. Let n be a non-negative integer. Then 1+ 2+4+ 8+ ...+ 2" = 2"+1 – 1. Special directio...

A: Using combinatorial proof, we have to prove 1+2+4+8+⋯+2n=2n+1-1 where n is a non-negative integer.

Q: Determine a vector equation of the line of intersection of the planes x + y +z = 3 and x - y + z = 2...

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Q: The equation x5 + x4 − 5 = 0 has one real solution. Approximate it by Newton’s Method.

A: This is a problem of Newton Raphson method.

Q: Proposition 12. Let n be a nonnegative integer. Then 3|(52n – 1). - Hint: Try induction on n. Proof.

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Q: Let V be a finite-dimensional vector space over a field F, and let T:V → V be a linear transformatio...

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Q: [x² when x # 1 9: Show that f(x) = %3D 2 when x =1 is discontinuous at x = 3D1

A: The given function is: f(x)=x2when x≠12when x=1We have to show that the given function is discontinu...

Q: Proposition 6. Consider the function g : Z? → Z² defined by g(m, n) = (m – n, n – 2m). The function ...

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Q: Draw a line to show how white can escape from check. Don't forget: move, block or capture! 1. 2. b c...

A: We have to draw a line for White king.

Q: Give the Maclaurin series expansion of f(x) = ln(3-2x). Determine its interval of convergence by fin...

A: Differentiate the expression of f(x) to obtain the expression of f'(x), f''(x), f'''(x),⋯⋯⋯⋯⋯,fn(x)....

Q: Solve the IVP for y(æ): dy + dr y = 19y", y(1) = 1 y(z) =

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Q: Jhosep wants a tv for his birthday that originally cost $740. Right now, the tv is on sale for 40% o...

A: Given, Jhosep wants a tv for his birthday that originally cost $740. Right now, the tv is on sale fo...

Q: 10. X 20 30 40 50 P(X) 0.05 0.35 0.4 0.2 11. X 1 3 4 P(X) 0.4 0.3 0.2 1 12. X 3 7 9. 12 14 P(X) 4 13...

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Q: Solve using variaton of parameters or recuction of order (D²-2D+1)y = e" (e*+)²

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Q: The sequence n0.1 converges if

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Q: Proposition 8. Let m be any integer. If 5|(7m), then 5|m. Special directions: You can not use your p...

A: If gcd (a, b) =1, then there exist integers p and q such that ap + bq =1Here gcd ( 5,7) = 1 so there...

Q: Find the absolute extrema of the function f(x, y) = 3x2 – ay – y? – x – 3y + 5 on the domain defined...

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Q: Solve the differential equation by using integrating factors. xy' = 3y − 8x2 y(x) =

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Q: In a mechanical system, acceleration a, velocity v, and distance S, are related by the simultaneous ...

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Q: The curve C is the circle of radius 5 contained in the plane z = 5 and centered around the z-axis, o...

A: Given  The curve C is the circle of the radius  contained in the plane z = 5 and centered around the...