Suppose, in the following diagram, that for F-ds -6, F-ds 4T, F-ds -8. for D dr C: Suppose further that curl, F = 2 on the shaded region D, determine the following integral: • $.F..

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Q: f(x) = x³ + 3x² − 105x + 4. Find = Find x) On what set is f increasing? erval of increase: On what…

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Q: SOLVE STEP BY STEP IN DIGITAL FORMAT 2) [sen² (x) cosª (x) dx

A: The given integral is         I =  ∫ sen2(x)cos4(x)dx           =  ∫ {1 - cos2(x)}cos4(x)dx…

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Q: 4. Use Rouche's theorem to count the number of zeroes for f(z) = 2²-4+3e-² on the right half plane…

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Q: X Ex/ show that equation é+x-6 has root by Bisection , X = 1 X = 2, € = 5% .

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Q: At what points (x,y,z) in space are the functions continuous? a. h(x,y,z)= In (2z³ - 3x-3y³ - 5) 1…

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Q: (e1,e2, e3} be the standard basis of R³. If T: R³ R³ is a linear transformation such that 3 3 men T(…

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Q: Make a table of values, and sketch the graph of the equation. Find the x- and y-intercepts, and test…

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Q: 8. (15pts) Find the Laurent series for the function (2+1)(z-2) in each of the following domains (a)…

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Q: Find the Taylor series for  f(x)  centered at the given value of a. [Assume that f has a power…

A: Given : The given function is  f(x) = sin(x). To find : We have to find the Taylor series expansion…

Q: no need explanation just need final answer

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Q: Numerical Methods Using False Position f(x) = x3-2.5x2-1.8x+2.356

A: We have given that  x3-2.5x2-1.8x+2.356=0 Let f(x)=x3-2.5x2-1.8x+2.356 x 0 1 f(x) 2.356 -0.944…

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Q: Solve for z, and give your answer in the form a+bi. 2z-5+4i=z-4-i z = 0

A: Let, z = a + bi Then,       2z - 5 + 4i = 2(a + bi) - 5 + 4i                        = (2a - 5) +…

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Q: Express the value z below in polar form, and the value w in the form a+bi. Use the square root…

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Q: 1. Consider subsets W of a vector space V: = 0}; (a) V = R³, W = {[₁,2,3]|2x12x2 + x3 = (b) V=R³, W…

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Q: Compute eigenvalues and eigenvectors for the matrix: GJ O λι = ί λ = - 31 = A₁ = 1 A₂ = -1 --0--0 =…

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Q: A simple directed graph with vertices A, B,C,D,E,F,G has adjacency matrix . What is the order of the…

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Q: Find the particular antiderivative F(x) of f(x) = that satisfies F(1) = 3.

A: Given that: Function fx=4x. Condition F1=3. The particular antiderivative F(x) can be obtained: By…

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Q: 1. The shaded regions R, and R₂, shown below, are enclosed by the graphs of f(x)=x² and g(x) = -2*.…

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Q: 1. dy/dt = ay+by2, a>0, b>0, -∞<yo <∞ 2 doelde C

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Q: 5. Find a real root of cos x - xe* = 0 correct to three decimal places by Bisection method.

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Q: 4) Find the derivative of y = x²cot-¹(3x).

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