Find the absolute extreme values of the function on the interval.g(x) = -x2 + 9x - 18,  6 ? x ? 3

A. absolute maximum is  at x = ; absolute minimum is 0 at 3 and 0 at x = 6 
B. absolute maximum is  at x = ; absolute minimum is 0 at 3 and 0 at x = 6
C. absolute maximum is  at x = ; absolute minimum is 0 at 3 and 0 at x = 6
D. absolute maximum is  at x = ; absolute minimum is 0 at 3 and 0 at x = 6


Answer: B

Mathematics

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Solve the problem.At time t = 0, a particle is located at the point (5, 8, 9). It travels in a straight line to the point  has speed 10 at  and constant acceleration  Find an equation for the position vector r(t) of the particle at time t.

A. r(t) = (5i + 8j + 9k) + 4i + 3j + 12k
B. r(t) = (4i + 3j + 12k) + 5i + 8j + 9k
C. r(t) = (4i + 3j + 12k) + 5i + 8j + 9k
D. r(t) = (4i + 3j + 12k) + 5i + 8j + 9k

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Simplify and evaluate using a calculator.

A. 8; 4.61880215
B. ; 4.61880215
C. 17
D. ; 4.61880215

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Provide an appropriate response.What is wrong with the following application of the chain rule? What is the correct derivative?(x2 - 3x)4 = 4x3(2x - 3)

What will be an ideal response?

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The graph of a logarithmic function is shown. Select the function which matches the graph.

A. f(x) = log3x - 2 B. f(x) = log3(x - 2) C. f(x) = log3x D. f(x) = log3(x + 2)

Mathematics