Solve.Approximate to the nearest hundredth the volume of a sphere with a radius of 5 centimeters. Use 3.14 for ?.

A. 294.38 cu cm
B. 523.33 cu cm
C. 4186.67 cu cm
D. 104.67 cu cm


Answer: B

Mathematics

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Use Taylor's formula to find the requested approximation of    near the origin.Cubic approximation to  

A. 1 - 10x - y + 100x2 + 10xy + y2 - 1000x3 + 300x2y - 30xy2 + y3 B. 1 - 10x - y + 100x2 + 20xy + y2 - 1000x3 + 300x2y - 30xy2 + y3 C. 1 - 10x - y + 100x2 + 20xy + y2 - 1000x3 - 300x2y - 30xy2 - y3 D. 1 - 10x - y + 100x2 + 10xy + y2 - 1000x3 - 300x2y - 30xy2 - y3

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Find any values of the variables that must be excluded.

A. x = -7, x = -3, x = 6 B. x = -7 C. x = -3, x = 6 D. Defined for all real numbers

Mathematics

Find the derivative of y with respect to the appropriate variable.y = 10 sinh-1 (ln x)

A.  
B.  
C.  
D.  

Mathematics

Solve the problem.An electronics company kept comparative statistics on two products, A and B. For the years 2009 to 2017, the total number of Product A ever sold (in thousands) is given by the equation , where x is the number of years since 2009. For that same period, the total number of Product B ever sold (in thousands) is given by the equation B(x) = -30x + 434, where x is the number of years since 2009. Choose the statement that most accurately describes the solution of the system of equations.

A. At about 1.6 years (to the nearest tenth) from 2009, both products had sold the same amount. B. When 385,000 of Product A had been sold, Product B had sold 1.6 times as many. C. At some point between 2009 and 2017, both products had sold 1600 each. D. Product B sold 1.6 times as many as Product A.

Mathematics