(a) satisfy the following: (b) 9 Compute each of the following, or state that the quantity cannot be computed with the given information. 7 -3f(x) dx Suppose that f and h are continuous, differentiable functions that 9 [[3f (x) - 2h(x)] dx 1 9 9 [ f(x) dx = -3, •f f(x) dx = 5, fh(x) dx = 6 1 (d) Ⓡ 7 1 8 9 7 f(x) dx f(x) dx

Q: Let = e²i/n be an n-th root of unity. Show that (k(1-n) Resck (27²1) n for all 0 <k<n-1. =

A:

Q: • 2π 0 1 1 + cos² t dt

A: ∫02π11+cos2tdt

Q: c2π cos² t 13+ 12 cost dt

A: The Cauchy Residue theorem is a part of the complex analysis. By using the Cauchy Residue theorem we…

Q: Evaluate by the residue theorem: 50% -00 sin(2+1) sin(2-¹) dr [sin 2].

A:

Q: Determine the point at infinity on the line l = [5 -7 3]^T. What is the dual line to this ideal…

A: note : Here we will use the three-point definition of lines in 2d as : [a b c]T → ax + by + c = 0…

Q: Prove that √2+1 = 2√√(2) using √z = t²-1 et dt

A:

Q: 7. Find all right cosets of (3) in Z12. Show how they illustrate Lagrange's Thcorem.

A:

Q: Observe the following pattern: 1 + 3 = 22 1 + 3 + 5 = 32 1 + 3 + 5 + 7 = 42  Find the next two lines…

A:

Q: = 4) Use the recursion formula Stan" xdx to calculate Stan³xdx tan" X n-1 n-1 -ftan”-2 xdx

A: