Use the fundamental identities and simplify the expression to get a numerical value.sin2 x(cot2 x + 1)

A. 1
B. tan2 x
C. cos2 x + 1
D. -1


Answer: A

Mathematics

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Write the equation of a circle with the given center and radius.Center at (-7, -5); Radius 

A. (x + 7)2 + (y + 5)2 = 2 B. (x - 5)2 + (y - 7)2 = 4 C. (x + 5)2 + (y + 7)2 = 4 D. (x - 7)2 + (y - 5)2 = 2

Mathematics

Use properties of exponents to simplify the expression. Express answers in exponential form with positive exponents only. Assume that any variables in denominators are not equal to zero.(-2x4y-4)(-5x4y2)

A.
B. 10x6y8
C. 10xy8
D.

Mathematics

Solve the problem.The motion of a spring-mass system is described by the equation  where y is the distance in feet from the equilibrium position and t is time in seconds. Find the velocity of the mass at time t = 3/4 seconds. Is the mass moving toward or away from its equilibrium position or neither?

A. 0 ft/s; away from equilibrium position B. -4? ft/s; toward from equilibrium position C. 0 ft/s; neither D. 4? ft/s; away from equilibrium position

Mathematics

Find the values of x for which the geometric series converges.

A. |x| < 
B. |x| < 6
C. |x| < 1
D. |x| < 12

Mathematics