Answer the question or solve the problem.In solving the inequality 3x ? -9, would you have to reverse the inequality symbol? Explain why.
What will be an ideal response?
No, since you don't have to divide or multiply by a negative number. The fact that the number you are dividing into is negative is irrelevant. (Explanations will vary.)
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Provide an appropriate response.Which of the following statements is false?I. For a function f(x), the Taylor polynomial approximation can always be improved by increasing the degree of the polynomial.II. Of all polynomials of degree less than or equal to n, the Taylor polynomial of order n gives the best approximation of f(x).III. The Taylor series at x = a can be obtained by substituting x - a for x in the corresponding Maclaurin series.
A. I, II, and III B. I and III C. I and II D. III only
Graph the rational function. Include the graphs and equations of the asymptotes.f(x) =
A. asymptotes: x = 1, y = 0
B. asymptotes: x = 1, y = 0
C. asymptotes: x = -1, y = 0
D. asymptotes: x = -1, y = 0
Find the integral.
A. - sec4 (x - 3) + C
B. sec3 (x - 3) + C
C. sec4 (3x - 3) + C
D. sec4 (x - 3) + C
Write the percent as an equivalent decimal.0.004%
A. 0.4 B. 0.000004 C. 0.0004 D. 0.00004