Establish the identity.sin3 x cos2 x = sin x (cos2 x - cos4 x)

What will be an ideal response?


sin3 x cos2 x = sin x (1 - cos2 x) (cos2 x) = sin x (cos2 x - cos4 x).

Mathematics

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Use the shell method to find the volume of the solid generated by revolving the region bounded by the given curves about the given lines.y = 5x,y = 0,x = 4; revolve about the x-axis

A. ?
B.
C. ?
D. ?

Mathematics

Evaluate the rational function.r(x) = , r(3)

A. Undefined
B.
C. 5
D. - 5

Mathematics

Simplify and add or subtract wherever possible.21 - 9

A. 60 
B. 30
C. 12
D. 12 

Mathematics

Find the equation of the line passing through the indicated two points in standard form.(5, -3) and (0, 5)

A. 8x + 5y = 25 B. -8x + 5y = -25 C. 8x - 5y = -25 D. -8x + 5y = 25

Mathematics