Evaluate the integral using integration by parts. dx

A. -  x-7 ln 5x -  x-6 + C
B. ln 5x +  x-7 + C
C. -  x-7 ln 5x +  x-7 + C
D. -  x-7 ln 5x -  x-7 + C


Answer: D

Mathematics

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Simplify the polynomial by combining like terms if possible. Write the answer in descending order.5c2 + 7c3

A. 2c3 B. 7c3 + 5c2 C. 12c3 D. 12c2

Mathematics

Write an algebraic expression for the specified quantity.A car radiator has 60 liters of a mixture that is 40% antifreeze. To strengthen the mixture, pure (100%) antifreeze must be added. Let x = the number of liters of pure antifreeze added to the 60-liter mixture. Write an algebraic expression for (i) the number of liters of mixture there will be once the pure antifreeze is added; (ii) the number of liters of antifreeze in the mixture obtained by adding the pure antifreeze to the original 60-liter mixture.

A. (i) 60 - x (ii) 24 - x B. (i) 60 + x (ii) 24 + x C. (i) 60 - x (ii) 20.0 + x D. (i) 60 + x (ii) 30 + x

Mathematics

Find the inverse of the function and state its domain and range .{(-1, 9), (-9, 1), (7, 6), (-7, -6)}

A.  D = { -1, -9, 7, -7}, R = 
B. {(9, -1), (1, -9), (6, 7), (-6, -7)} D = {9, 1, 6, -6}; R = {-1, -9, 7, -7}
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Mathematics

?Solve for the equation  for . ?

A. ?
B. ?
C. ?
D. ?
E. ?

Mathematics