Solve the problem.Suppose the demand function of a certain item is given by  and the supply function is  Find the consumer's surplus. Round to three decimal places.

A. 0.773
B. 1.337
C. 1.227
D. 0.664


Answer: C

Mathematics

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Find the values of x for which the given function is concave up, the values of x for which the function is concave down, and any points of inflection.y = 7x - x3 

A. Concave up for x < 0, and x > 1, concave down for 0 < x < 1, points of inflection at (0, 0), (1, 7) B. Concave up for x < 0, concave down for x > 0, point of inflection at (0, 0) C. Concave down for all x, no points of inflection D. Concave down for x < 0, concave up for x > 0, point of inflection at (0, 0)

Mathematics

Use common logarithms or natural logarithms and a calculator to evaluate to four decimal placeslog0.417

A. -3.0920 B. 0.8325 C. 1.6284 D. -0.3234

Mathematics

Write the expression as a sum of two logarithms.log610x

A. log3  10 - log3  x B. log6 10 + log6 x C. log6 10 - log6 x D. log3 10 + log3  x

Mathematics

Find the derivative of the function at the given value of x using a graphing utility. If necessary, round to four decimal places.f(x) = 4x3 - 6x + 2; x = -4

Fill in the blank(s) with the appropriate word(s).

Mathematics