Solve the problem.Let f(x) =  (a) Does f'(0) exist?(b) Does f'(2) exist?(c) Does f'(-2) exist?(d) Determine all extrema of f.

What will be an ideal response?


(a) No
(b) No
(c) No
(d) Minimum: 0 at x = ± 2 and x = 0; local maximum: 3.07920144 at x = ± 1.15470054

Mathematics

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Solve the problem.Anne and Nancy use a metal alloy that is 13% copper to make jewelry. How many ounces of an alloy that is 11% copper must be mixed with an alloy that is 16% copper to form 55 ounces of the desired alloy?

A. 27 ounces B. 33 ounces C. 22 ounces D. 35 ounces

Mathematics

Factor completely.x2 - x - 54

A. Prime B. (x + 6)(x - 9) C. (x - 54)(x + 1) D. (x - 6)(x + 9)

Mathematics

Multiply the expression geometrically and symbolically.x(x + 9)

What will be an ideal response?

Mathematics

Solve the problem.The following bar graph shows the ranking of the top items sold at a local sporting event and the percent of fans selecting each item.  What portion of fans purchased nothing? Write the answer as a percent and as a decimal.

A. 85%, 0.85 B. 50%, 0.5 C. 35%, 0.35 D. 72%, 0.72

Mathematics