Verify the identity.cos 3x = cos3 x - 3 sin2 x cos x

What will be an ideal response?

cos 3x = cos (2x + x) = cos 2x cos x - sin 2x sin x =  =  = cos3 x - 3 sin2 x cos x.

Mathematics

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Solve the problem.The size of a population of lions after t months is P = 100 (1 + 0.2t + 0.02t2). Find the growth rate when 

A. 180 lions/month B. 140 lions/month C. 10,020 lions/month D. 160 lions/month

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Mathematics

Find the absolute maxima and minima of the function on the given domain.  on the closed triangular region with vertices      and  

A. Absolute maximum: 4 at    absolute minimum: 0 at  
B. Absolute maximum: 10 at    absolute minimum: 4 at  
C. Absolute maximum: 6 at    absolute minimum: 0 at  
D. Absolute maximum: 6 at    absolute minimum: 4 at  

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Mathematics

Find the exact value of the expression.

A. -2
B. - 
C. -
D. - 

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Mathematics

Find the center and radius of the circle with the given equation. x2 + y2 = 9

A. Center (0, 0), r = 9 B. Center (3, 3), r = 3 C. Center (3, 3), r = 9 D. Center (0, 0), r = 3

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Mathematics