Find absolute maximum and minimum values of the function, if they exist, over the indicated interval. Where no interval is specified, use the real line. List your answers in terms of ordered pairs.

From a thin piece of cardboard 108 in. by 108 in., square corners are cut out so that the sides can be folded up to make a box. What dimensions will yield a box of maximum
volume? What is the maximum volume?


72 in. by 72 in. by 18 in.; 93,312 in.3

Mathematics

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Solve the problem.Linda invests  for one year. Part is invested at , another part at , and the rest at . The total income from all 3 investments is . The combined income from the 

src="https://sciemce.com/media/4/ppg__ttt0701190814__f1q123g6.jpg" alt="" style="vertical-align: -4.0px;" /> and  investments is the same as the income from the  investment. Find the amount invested at each rate.

A. $5000 at 5%; $10,000 at 6%; $10,000 at 8%
B. $10,000 at 5%; $5000 at 6%; $10,000 at 8%
C. $10,000 at 5%; $10,000 at 6%; $5000 at 8%
D. $8000 at 5%; $10,000 at 6%; $7000 at 8%

Mathematics

Provide an appropriate response.If f(x) ? 0 on the interval [a, b], then representsi) 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. Only i is correct. C. Only ii is correct. D. Either ii or iii could be correct.

Mathematics

Decide whether the pair of lines is parallel, perpendicular, or neither.2x + 3y = 9 and 2y = 3x - 8

A. Parallel B. Perpendicular C. Neither

Mathematics

Multiply.10 × 86.651

A. 8615.1 B. 866.51 C. 886.51 D. 8665.1

Mathematics