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
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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
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
Divide and simplify. ÷
A.
B. 1
C.
D. -
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.