Find the composite function for the given functions and state the domain. f ? g for f(x) = 3x + 3 and g(x) = x2 - 2

A. 3x2 - 3
B. x2 + 3x + 1
C. x2 - 3x - 5
D. 9x2 + 6x - 3


Answer: A

Mathematics

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Find the derivative of the function at P0 in the direction of u.f(x, y, z) = -4xy3z2, P0(-4, -64, 16),  u = -2i + j - 2k

A. - 
B. - 67,108,864
C. - 83,886,080
D. - 

Mathematics

Solve the problem.If the Jefferson Method is used to apportion 250 legislative seats to five states with the populations given in the table, then a violation of the Quota Rule occurs. The apportionment for which state violates the Quota Rule?

A. c B. b C. e D. a

Mathematics

Divide and simplify. ÷ 

A.
B.  
C. z + 3
D.  

Mathematics

Solve the problem.The range r of a projectile is given byr = v2 sin 2?,where v is the initial velocity and ? is the angle of elevation. If r is to be  and  what must the angle of elevation be? Give your answer in degrees to the nearest hundredth.

A. 89.83° B. 0.34° C. 0.24° D. 0.17°

Mathematics