Verify the identity.cos 4x = cos4 x - 6 sin2 x cos2 x+ sin4 x

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cos 4x = cos [2(2x)] = cos22x - sin22x =   = cos4 x - 6 sin2 x cos2 x + sin4 x

Mathematics

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Using Green's Theorem, compute the counterclockwise circulation of F around the closed curve C.F = ln (x2 + y2)i + tan-1 j; C is the region defined by the polar coordinate inequalities 2 ? r ? 3 and 

A. 13 B. -2 C. 0 D. 10

Mathematics

Solve the equation.2x + 6(-3x - 4) = -33 - 7x

A.
B.
C.
D.

Mathematics

Add.

A. 14,796 B. 15,696 C. 15,806 D. 14,706

Mathematics

What is the equation of the circle whose diameter endpoints are at the points (-6, 1) and (6,-4)? Show your steps and sketch the circle.

What will be an ideal response?

Mathematics