Find the exact value by using a sum or difference identity.tan 

A. - 2 + 
B. 2 + 
C. - 2 - 
D. 2 - 


Answer: D

Mathematics

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Solve the given differential equation.y"' - 48y' - 128y = 0

A. y = C1e8x + (C2 + C3x)e-4x  B. y = C1e-4x + (C2 cos 8x + C3 sin 8x) C. y = C1e8x + C2e-8x + C3e-4x  D. y = C1e-4x + (C2 + C3x)e8x 

Mathematics

Solve the problem.An arch in the form of a semiellipse is 52 ft wide at the base and has a height of 20 ft. How wide is the arch at a height of 12 ft above the base?

A. 41.6 feet B. 35.5 feet C. 20.8 feet D. 17.7 feet

Mathematics

Solve the problem.Find an equation of a parabola that contains the points (1, 4), (2, 7), and (4, 25).

A. y = - x2 + x - 2
B. y = x2 - 6x + 17
C. y = 2x2 - 3x + 5
D. y = 2x2 - 4x + 5

Mathematics

Write the statement in symbols, using x as the variable, and find the solution by guessing or by using trial and error. All solutions come from the list of integers between -12 and 12 inclusive.The quotient of a number and 3 is -4.

A.  = 3; -12
B. 3x = - ; - 
C.  = 3; -4
D.  = -4; -12

Mathematics