Obtain the values of the following integrals. A) sin²nz+cos²nz (z-1)(z-2) B) $21 dz on the contour |zi| = 3 e2z (2+1)4 dz J|z|=3 COS Z dz The following two on the contours: z(z²+8) Im(=) 2i 2i C Im(z) +Im(z) f -2i Re(2)

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A: We will use the fact that runga kutta method is of order 4 to answer the given question.

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Q: Q2: In usual topological space (R.T), answer the following: 4- Is [0,1] is arcwise in R? Why?

A: Given that ℝ, Tu is usual topological space. To show: 0,1 is arcwise in ℝ.

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Q: 18. How many edges has each of the path graph P158? A. 155 B. 156 C. 157 D. 158

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Q: (7) Let S = {1- (-)" | n € N}. Determine inf S and sup S. Justify. n

A: To find the supremum and infimum of the sequence S .

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Q: (3 f(t) = 30 est 0 12

A: as per our company guideline we are supposed to answer only one qs kindly post remaining qs in next…

Q: calculator?

A: To find the inverse of 3/2 and larger than 1 as,

Q: divisible by 3

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Q: 33. Find each interior angle measure of a quadrilateral if its interior angles are represented by x…

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Q: Find any case in which the number of subgroups with an order of 3 can be exactly 4 in the Abelian…

A: Let G be group of order 108=22×33. So G≅ ℤ2× ℤ2× ℤ3× ℤ3×ℤ3, orG≅ ℤ4× ℤ3× ℤ3×ℤ3 , orG≅ ℤ2× ℤ2× ℤ9×ℤ3…

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A: Ju