Please show how the following Figure can be linearly separated by mapping from the features (X1, X2) to new dimensions. The general equation for a circle (and hence the decision boundary) is (X1-a)2+(X2-b)2 – r2 = 0.

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A: I have explained everything with in the solution. Please go through that.

Q: (a) Let R > 5 and let CR be the closed, anticlockwise contour obtained by joining the line segment…

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A: While you solve the partial fraction check the calculations. By your calculations you will get the…

Q: (b) Verify that the following function is harmonic u(x, y) = -e¹ sin x - 2e-* siny. Find a harmonic…

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Q: 2. Part (c) of Theorem 2.7.25 in the lecture notes told us that if f: R" → Rm is continuous, then…

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Q: Let D = {d₁.d₂.d3} and F = {f₁.f2.f3} be bases for a vector space V, and suppose f₁ = 5d₁-d₂ +6d3.…

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Q: (a) Find all singularities of the function f(z): = sin cos(z-7) (z - 3T) (z+4i)²¹ and determine the…

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Q: Can you help me with this problem. Can the vector [1 2 ] be written as a linear combination of the…

A: Given: A vector 1 2 To Check: Whether the vector 1 2, can be written as a linear combination of the…

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Q: Sketch the graph of and use your sketch to find the absolute and local maximum and minimum values…

A: The given function is f(x)=3x  defined on the interval 1<x<3. The graph of the function is…

Q: (†) \u,v≤U ([u‡ 0 and v‡0] → u • v‡ 0); (⋆) Vx,y,z€U ([z ‡ 0 and zx = zy] →x=y).

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Q: a matrix A is such that for all matrices B we have AB = 0 then this matrix A must be equal to zero.

A: We have to verify that the given statement is true or false.

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Q: Calculate the following integral 1 Lc (z − 1) (2³ — 1) dz for each of the following contours C. In…

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Q: I need help filling in the blanks  There are four blanks. The first three blanks represent the x,…

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Q: the concentration, C, in parts per million (ppm) as a function of the population, P, of the…

A: The solution of part(a) and part (b)

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Q: A differentiable function f(x, y) has the property that f(5, 1) = 4 and ƒâ(5, 1) = −7 and f(5, 1) =…

A: Equatin of the tangent plane to the surface z=f(x,y)  at (a,b,f(a,b))…

Q: In P2, find the change-of-coordinates matrix from the basis B = {1-3t+1²,2-5t + 31²,3 - 6t+7t²} to…

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Q: (a) Find the coefficients an and bn of the Laurent series of the function f(z) : =Z Justify all of…

A: As per the question we are given the following function on complex domain : f(z) = z15 sin(1/z5)  ,…

Q: A body moving along the x axis starts at position x = 0 at t = 0, and moves with velocity v(t) = at³…

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Q: Solve by applying the simplex method to the dual problem. C=25x₁20x₂ + 25x3 +30x4 X₁ + X₂ 513 X3 X4…

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Q: gx-7i>3(3x-7u) give me a graph please

A: Given, 9x-7i>3(3x-7u)

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Q: Solve the first 6 terms (y(x) ao+ a₁x + a₂x²+... +a5x5) of the power series solution of y" + 3xy' -…

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Q: Evaluate the integral √ - - −4√/3 – 2x − x² dx - Note: Use an upper-case "C" for the constant of…

A: Here we have to solve the given integral.

Q: Fast pls solve this question correctly in 5 min pls I will give u like for sure Sini Let f ( x ) =…

A: Given that a polynomial f(x)=x2+5x+10.  We have to answer the following (a) When is the rate of…

Q: Suppose $10,000 is invested at an annual rate  of 5% for 10 years. Find the future value if interest…

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Q: determine the radius of convergence Σ n=1 η nn η ·(z — 2i)”. (n!) 5

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Q: Let Approximating that is f(0.6), with the 10th-degree Taylor polynomial centered at z = 0, the…

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Q: 7. Let a, b, c and m be fixed real numbers. Let P be the parabola with equation y = x². (a) Show…

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Q: = +0.9x Find the centre of mass of the 2D shape bounded by the lines y between x = 0 and x = 3.3.…

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Q: Formulate the given problem into a linear programming model. Clearly define the decision variables…

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Q: Express Log (2) in Cartesian form (x+iy). Justify all of your steps.

A: Here we can use the formula  Logz=12logx2+y2+i tan-1yxwhere z=x+iy

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Q: Using the Residue Theorem, or otherwise, compute z-7 Sezzzzzz dz, z²+z-2 where C is the positively…

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Q: 1. Evaluate. Draw a unit circle to show how you found basic quadrantal angles: cos() = sin (3) cos()…

A: (1)   Any point on the unit circle x2+y2=1 is of the form  cosθ , sinθ .          In above unit…

Q: Express Log (4) in Cartesian form (x+iy). Justify all of your steps.

A: We have to find the given expression in the Cartesian form.

Q: 2 x² limits of integration and answer to 2 decimal places. Find the area between y = and y = 7 - x.…

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Q: a) Express Log (2) in Cartesian form (x+iy). Justify all of your steps.

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Q: (b) Using the Residue Theorem, or otherwise, compute z-7 -z-2 dz, where C is the positively oriented…

A: Useful result:

Q: Find all the solutions of the following equation 3z +(2-1)Z = 7+i n Cartesian form. Justify all of…

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Q: 2 Given f(x)=esinx In√x (a) (b) Find f'(0.8) by using 2-Point Forward Difference, 2-Point Backward…

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Q: 5 + 22 4 -4 -S 6 The graph above shows the base of an object. Compute the exact value of the volume…

A: To Find: The exact value of the volume of the object given that the cross sections are equiangular

Q: Given that the control is u=V₂V, and the equation of performance index below, explain or answer,…

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