Question 13 The value of the line integral using Green's Theorem of 93xydx +5e2xdy on the rectangle with vertices (0,0), (2,0), (2,3) and (0,3) will be given by O A None of the choices in this list. O B. 15e4 33. OC.15e4 +33. O D. -15e+ 33.

Q: -8y 8x Compute f. F · dr, where F(x, y) = and C is a circle of radius 16 with center at the origin…

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Q: 17. Give an example of three different groups with eight elements. Why are the groups different?

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Q: 2. Evaluate f (3x + 4y2) dA, where R is the region in the upper half-plane 15 bounded by the circles…

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Q: Let Þ(u, v) = (7u + 9v, 9u + 2v). Use the Jacobian to determine the area of $(R) for: (a)R= [0,9] ×…

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Q: Find the pre-image of (6,-1), given that L(x,y) = (2x, y-

A: We have Lx,y=2x, y-x We have to find preimage of (6, -1)

Q: Use any method to determine the points of intersection of f(z) = 2z² – 3z + 4 and g(z) = z² + 5z –…

A: The given functions are fx=2x2-3x+4 and gx=x2+5x-3To find the point of intersection

Q: 9 vertices (0, 0), (,0) and (l, l). (a) Evaluate the integral 3. Let be Let C be the triangle with…

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Q: Ex:. Find the fourth roots of Z=-di Say no 4 K = 0₁12₂3

A: given z=-8i To find the fourth root of the given complex number proceed as follows comparing the…

Q: 30. Use the graphic below to answer the question. -7 5 4 -3 2 -8-7-6-5-4-3-2-1, 1234567 8 F3 -5…

A: W = (-3,1) and W' = (-3,-1) Z = (2,1) and Z' = (2,-1)  W and Z are transformed by moving coordinates…

Q: Consider p(x) = 3x - 2 and q (x) = x + 7. The evaluation inner product is defined as (p, q) = p (x₁)…

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Q: For each x-y table given, copy the table, find the pattern and fill in the missing entries. Then…

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Q: Find

A: First we find nature of given series. Then we find its sum.

Q: Find S. (12z+ z²) dz, where C is the boundary of the rectangle with vertices at the points 1+ 2i, –…

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Q: What are the coordinates of the vertex? -6 O (5,0) O (5,4) O (4,6) O (4,5) -4 -3 -2 -1 (0 8 -7 6 5 4…

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Q: 10.) cos*x

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Q: 7. The figure shows a rectangle drawn inside the region, in the first quadrant, enclosed by the…

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Q: Evaluate f Z-1 č (Z+))(7-2) cîg the ciocle, 17-91=2. DO the where 8. %3D problem by cauchy's…

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Q: $(8y + x -x)dx + (y + 7x)dy = C (Type an exact answer, using as needed.)

A: Green's Theorem:∮Mdx+Ndy=∬∂N∂x-∂M∂ydx dy

Q: Nn5

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Q: 23 + 3 4. Evaluate the integral dz, where C is the circle (a) |z + 3| = 3, (b) |z| = 3, (c) |z| = 7.…

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Q: I need help with this problem and an explanation for the solution described below. (Calculus 3:…

A: Long steps, so pictures uploaded.

Q: Using Taylor's theorem, formally represent 2x° +x* – 3x³ +x² – 5x +1 as x+1.

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Q: Use the given transformation to evaluate the integral. SS. (10x+15y) dA, where R is the…

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Q: Let R be the rectangle with vertices -1-i, 8i, 8+i, -1+i. Use residues to evaluate the following…

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Q: 1+iz : If w = Find the im age of z|<1. 1-iz

A: Let the transformation be f(z)=w, in which x-y plane is converted into u-v plane.  Where z=x+iy and…

Q: Determine the integral f(z) dz around the clockwisely oriented triangle with the vertices ₁ = -1, 22…

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Q: Use the given transformation to evaluate the integral. J. (9x +9y) dA. where R is the parallelogram…

A: Using the given transformation to evaluate the integral of (9x+9y) dA, where R is the parallelogram…