Find the quadratic approximation of f at x = 0.f(x) = eln 3x

A. p2(x) = 3x - x2
B. p2(x) = 3x
C. p2(x) = 1 + 3x + x2
D. p2(x) = 3x + x2


Answer: B

Mathematics

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Express the number in scientific notation.870,000

A. 8.7 × 105 B. 8.7 × 104 C. 8.7 × 10-4 D. 8.7 × 10-5  

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Write an equation for a function whose graph fits the given description.The graph of f(x) = x2 is shifted 3 units to the left. This graph is then vertically shrunk by a factor of  and reflected across the x-axis. Finally, the graph is shifted 7 units downward.

A. y = - (x + 3)2 - 7
B. y = (x - 3)2 - 7
C. y = - (x - 3)2 - 7
D. y = - (x - 3)2 + 7

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Evaluate the expression for the given replacement values.z ÷ 0.25 for z = 0.55

A. 22 B. 0.455 C. 4.545 D. 2.2

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Which of the following systems have infinitely many solutions?I.  II.  III.  IV.  

A. III and IV only B. I and II only C. I, II, and III only D. I, II, and IV only E. all of these

Mathematics