Cauchy Integral Formula

(See attached file for full problem description and imbedded formulae) --- Why can (1) be regarded as a special case of (2)? (1) Cauchy's Integral formula (no need to prove): is a simple closed positively oriented contour. If is analytic in some simply connected domain D containing and if is any point inside , ...continues

Residues for integral of exp & trig function

--- Using the method of residues, verify the following: --- (See attached file for full problem description)

Residues integral of trig function

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Cauchy Integral Formula in an annulus

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Improper Integral

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complex numbers

What is the soulution (-1+i squareroot of 3)exponent 9.

Vectors

Using the given vectors how do I find the specified dot product u=3i-8j;v=4i+9j find u.v

vectors

given these vectors how do I find u - v U=-8i-6j V=-10i+5j

CUBE SURFACE

GIVEN A CUBE SURFACE AREA OF 54 SQUARE INCHES. IF THE LENGTH OF EACH SIDE IS TRIPLED, THE VOLUME OF THE CUBE WILL BE?

A SQUARE IS INSCRIBED IN A CIRCLE

A SQUARE IS INSCRIBED IN A CIRCLE, WITH EACH CORNER OF THE SQUARE TOUCHING THE CIRCLE. A LARGER SQUARE IS CIRCUMSCRIBED OUTSIDE THE CIRCLE, WITH EACH SIDE OF THE LARGER SQUARE TOUCHING A CORNER OF THE INSCRIBED SQUARE. THE SIDES OF THE LARGER SQUARE ARE LONGER THAN THE SIDES OF THE SMALLER SQUARE BY A FACTOR OF ???