Provide an appropriate response.If f(x) ? 0 on the interval [a, b], then  represents i)  the area to the right of the y-axis between y = a and y = b.ii)  the area above the x-axis between x = a and x = b.iii) the area below the x-axis between x = a and x = b.

A. None of the above is correct.
B. Both ii and iii could be correct.
C. Only i is correct.
D. Only ii is correct.


Answer: D

Mathematics

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Use reduction formulas to evaluate the integral.

A. 9 ln -  sin x + C
B. 9 ln +  cos2 x + C
C. 9 ln -  cos2 x + C
D. 9 ln + 9 sin x + C

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Solve the problem.It costs $42 per hour plus a flat fee of $19 for a plumber to make a house call. What is an equation of the form  for this situation?

A. y = 19x + 42 B. y = 19x C. y = 42x D. y = 42x + 19

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Divide and simplify. ÷ 

A.
B. 1
C.
D. - 

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Solve the problem.Suppose that an open box is to be made from a square sheet of cardboard by cutting out  squares from each corner as shown and then folding along the dotted lines. If the box is to have a volume of 16 cubic inches, find the original dimensions of the sheet of cardboard. 

A.  in. by 2 in.
B. 2 in. by 2 in.
C. 10 in. by 10 in.
D. 4 in. by 4 in.

Mathematics