Establish the identity.(1 - cos x)(1 + cos x) = sin2x

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(1 - cos x)(1 + cos x) = 1 - cos2x = sin2x

Mathematics

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Solve the problem.Let R ={(x, y): 1 ? x < 4, 0 ? y < 9}. Evaluate dA, where f is the function 

A. 171 B. 27 C. 9 D. 261

Mathematics

Use the theorem that relates the sum of degrees to the number of edges to determine the number of edges in the graph.A graph with 8 vertices, one of degree 4, three of degree 2, and four of degree 1.

A. 6 edges B. 5 edges C. 14 edges D. 7 edges

Mathematics

Find all the second order partial derivatives of the given function.f(x, y) = x ln (y - x)

A.  =  =  ;   =  =  
B.  =  = - ;   =  =  
C.  =  = - ;   =  = - 
D.  =  = - ;   =  =  

Mathematics

Use the Pythagorean Theorem to find the missing side of the right triangle.

A.
B. 21
C.
D. 221

Mathematics