Solve the problem.The accompanying figure shows the graph of y = -x2 shifted to a new position. Write the equation for the new graph.

A. y = -(x - 4)2
B. y = -(x + 4)2
C. y = -x2 + 4
D. y = -x2 - 4


Answer: B

Mathematics

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Use the given transformation to evaluate the integral.        Rwhere R is the interior of the ellipsoid 

A. 70?
B. 84?
C. 56?
D. ?

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Solve the problem.The Redlich-Kwong equation provides an approximate model for the behavior of real gases. The equation is  where P is pressure, V is volume, T is Kelvin temperature, and a,b , and R are constants. Find the derivative of the function with respect to each variable.

A. PV =  + ; PT = -  + 
B. PV =  - ; PT =  + 
C. PV =  + ; PT =  - 
D. PV =  - ; PT =  + 

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Find the measure of the indicated angle. Figure is not drawn to scale.Find the measure of ?x.

A. 126° B. 71° C. 66° D. 161°

Mathematics

Solve the problem.For what positive numbers will the cube of a number exceed 3 times its square?

A. {x|0 < x < 3}; (0, 3) B. {x|x > 9}; (9, ?) C. {x|0 < x < 9}; (0, 9) D. {x|x > 3}; (3, ?)

Mathematics