Question

please fast fast respond help me solve this problem of exponents​

Answer 1

An arithmetic sequence is a sequence where each term increases by adding/subtracting some constant k. This is in contrast to a geometric sequence where each term increases by dividing/multiplying some constant k. Example: a1 = 25. a(n) = a(n-1) + 5.

Answer 2

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Given sin2 x + 2 cos y + xy = 0

Differentiate both sides w.r.t.x

2 sin x cos x – 2 sin y(dy/dx) + (y + x dy/dx) = 0

(dy/dx)( x – 2 sin y) = (-y – 2 sin x cos x)

(dy/dx)( x – 2 sin y) = (-y – sin 2x)

(dy/dx) = (-y – sin 2x)/( x – 2 sin y)

= -(y + sin 2x)/( x – 2 sin y)

= (y + sin 2x)/( 2 sin y – x)