Use sum-to-product identities to rewrite the expression as a product.cos  - cos 

A. 2 sin  cos 
B. 2 sin  sin 
C. -2 sin  sin 
D. -2 cos  cos 


Answer: B

Mathematics

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Solve the given third- or fourth-order differential equation.D4y - 2 D3y - 9 D2y + 18 Dy = 0

A. y = c1 + c2e3x + c3e-3x+ c4e2x B. y = c1 + c2e3x + c3e-3x + c4e-2x  C. y = c1e3x + c2e-3x+ c3e-2x D. y = c1e3x + c2e-3x + c3e-2x 

Mathematics

Solve the problem.Arches in the shapes of parabolas are often used in construction. Find the equation of a parabolic arc that is 26 feet high at its highest point and 30 feet wide at the base, as illustrated in the figure. Place the origin at the midpoint of the base.

A. y = -x2 + 30
B. y = -x2 + 26
C. y = -  x2 + 26
D. y = x2 + 26

Mathematics

Solve the problem.The area of a square is numerically 12 more than the perimeter. Find the length of the side.

A. 72 units B. 18 units C. 24 units D. 6 units

Mathematics

Write a formula for the general term, or nth term, for the given sequence.4, 16, 28, 40, 52, . . .

A. an = 12n - 2 B. an = 12n - 8 C. an = 8n - 12 D. an = 4(12)n - 1

Mathematics