Use Green's Theorem to evaluate: C F . dr = where F = (√x + 4y, 3x + 4y) and C is the boundary of the region enclosed by y the x-axis (oriented positively). 5x x² and

Q: 1. DETAILS Consider the given function and the given interval. f(x) = 2.r (1+x2)2 [0, 2] (a) Find…

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Q: 2. 3. dy dx 4y² + 6xy 3y² + 2x (6x + 1)y²) dx dy + 3x² + 2y³ = 0

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Q: Find the value of b for which the given equation is exact. (ye4xy + x) + bxe4xyy' = 0 b = 1 Solve it…

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Q: 4. 5. (x²+4) dy = (2x8xy) dx (2x + y + 1)y' = 1 Hint: Let u = 2x+y+1

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Q: 1. Simplify the following expression using the exponent rules, and indicate the rules while…

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Q: . Determine whether or not x³ + 2x + 1 and x4 + 3x - 2 are congruent mod (x² + 2x + 2) in Q[x].

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Q: Does the function 5 3-x f(x)= have a vertical asymptote at x = 3? Why or why not? (Completing a…

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Q: Prove each of the following statements using mathematical induction. (d) Prove that for any positive…

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Q: Solve and show the complete solution. 5. A column is composed of a regular octagonal prism…

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Q: 1.) dx dt +7x25 cos 2t ← Equation 1

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Q: 24. Write parametric equations for the line passing through the point at (-2, 5) and parallel to the…

A: The given equation is  3x - 6y =-8 which can be written as        6y = 3x +8 or, y = 12x + 43 The…

Q: 5 - [6 1 [] Compute the area of the parallelogram determined by u, v, u + v, and 0, and compute the…

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Q: A plane flies at a speed 540 km/hr at a constant height of 19 km. How rapidly is the angle of…

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Q: The general solution of the PDE is given by for any function f. 2u, + 3u, + 2u = 0 u(s, t) =…

A: Answer is 0 for justification step 2

Q: Find the maximum value of subject to the constraints x + y + z = 6 and x, y, z ≥ 0. fmax f(x, y, z)…

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Q: 0.7 y(t) = 0.11 cos 7.6t+ sin 7.6t+ 0.17 7.6 y (1) = 0.11 cos 7.6t+ y(t) = 0.11 cos 7.6t+ y(t) =…

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Q: H 4.) f(x)=x+3(1-x)% yos litrobl .nweb

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Q: Use the Gram-Schmidt process to produce an orthogonal basis for the column space of matrix A. An…

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Q: all appl Evaluate the upper and lower sums for angles are assumed to have the same width. f(x) = 1 +…

A: We can solve this by using Riemann sum. As given information we are just solving for n = 6

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Q: The first derivative of a continuous function y = f(x) is y' = x(x - 9)². Find y' and then use the…

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Q: The rank of the matrix A Number 1 2 3 4 5 6 IS

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Q: 1 3 2 1 1 a 1 2 3 To find the blue shaded area above, we would calculate: [*f(x)dr = area Where: a…

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Q: Y" - 5y" + 3y' +9y = 0, y (0) = 0, y'(0) = -1, y" (0) = 1 (use Laplace Transforms)

A: To solve the given initial value problem of the differential equations Using the method of the…

Q: dm dx Prove that: — m „¸a- '2F₁(a,b;c;x)]=(a)_xª−¹ ₂F₁(a+m,b;c;x)

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Q: Graph each function using degrees. 3) y sin 0-2 90° 180° 2709 360° 450° 540 4) y = cos 0 +2 90° 180°…

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Q: Radio direction finders are placed at points A and B, which are 4.17 mi apart on an east-west line,…

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Q: A paperweight, when weighed in air, has a weight of W=3.68 N. When completely immersed in water,…

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Q: nd x-1 2 - у-г 3 x-2 3 2-3 ។ y-g I also obtain the equation of the lime e shortest distance, of

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Q: Find a cartesian equation For the curve described by the polar equation r = 30058-2 sine a)y=¾/2x -…

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Q: Find the divergence of the vector field ♬ = F div F =

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Q: Iff is a function satisfying f(x+y)=f(x)=f(y) for all x, y = N such that f(1) = 3 and ƒ(1) + f(2) +…

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Q: Question 15 Water is leaking out of an inverted conical tank at a rate of 13800 cubic centimeters…

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Q: 1) J²₁+ 2y² + 103 = 3x² 2

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Q: Prof. Einstein walked 13.6 m in a direction 55.0° north of east as shown. a) How far did he travel…

A: Kindly refer to Step 2 for the solution.

Q: Prove each of the following statements using mathematical induction. (b) For any n ≥ 1, the…

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Q: Show that (n) ‡ 14 for all n ≥ 1.

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Q: t (e) ite a4 in terms of a3. Then write a4 in terms of ao. When writing your answer, use a3 for a3…

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Q: 4. Evaluate the iterated integral: CIE dyda.

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Q: Corollary 4.3. Let 2 and m pairwise co-prime and m = mmm. m} be positive integers such that they are…

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Q: 3. Let S be the set of people in the United States. Test the following binary relations on S for…

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Q: Using exactly four fours, any of the operations + - X÷ and brackets if required, can yo make an…

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Q: umbers and q (>0) the first of n harmonic means betwee me numbers. Then prove that a € (p. ("+ 1)²…

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