Verify the identity.cos = -sin x

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cos  = cos x cos   - sin x sin   = (cos x)(0) - (sin x)(1) = - sin x.

Mathematics

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Solve the problem.If f(x) is a differentiable function and f'(c) = 0 at an interior point c of f's domain, and if  for all x in the domain, must f have a local minimum at  Explain.

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Mathematics

Find the indicated term of the sequence.an = ln en; a114

A. 1 B. ln 114 C. 115 D. 114

Mathematics

Solve the equation.x - x = 3

A. {-90} B. {45} C. {-45} D. {90}

Mathematics

Approximate, to the nearest whole number, the volume of the cone satisfying the given conditions.radius = 4 in., height = 3 in.

A. 100 in.3 B. 75 in.3 C. 50 in.3 D. 25 in.3

Mathematics