Problem 1: Let w = f(2) = |z|². Note that f(2) = , where F(2) = }2²z. (a) Find the line integral L = Saf(z) dz, where C denotes the straight line from 1 to i. (b) Is it true that L= F(i) – F(1)? (c) Show that F(i) – F(1) = Sc% dz + Sc dz by computing the right-hand side explicitly.

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A: Variable line is                xa+yb=1                 ......(1)Any line perpendicular to (i) and…

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Q: 8. On a graph of f(x) = x², (a) draw the tangent line to the graph of f at the point (2, f(2)); (b)…

A: Hello. Since your question has multiple sub-parts, we will solve first three sub-parts for you. If…

Q: 8.. If L' { f(p)} = F (t) then L1 {f( ap) } is : a) aF(at) b) F (t/a) c) F(at) d) (1/a)F (t/a)

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Q: If the time 26 + 1%/16 = 1 a that moves in such a way b 1/2 + 1/2 = 1/², where c is a constant, they…

A: Variable line is                xa+yb=1                 ......(1)Any line perpendicular to (i) and…

Q: 3) Find all points (x, y) on the graph of x2/3+y²/3 = 8 where the tangent lines have slope –1.

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Q: *4. Find the equation of the tangent line to r² – 3ry + y² = -1 at (2,1).

A: Equation of tangent at a point