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Posted by on Thursday, July 3, 2014 at 7:46pm.

Based on the following table of values for the function w(t), answer the questions below.

t and w(t) are a table with the following values:
(100,2.6), (110,7.3), (120,12.7), (130,19), (140,26.1), (150,34.1)

a) Which of the following best describes the derivative of w(t)?
A. changes sign
B. always positive
C. always negative

b) Which of the following best describes the second derivative of w(t)?
A. always negative
B. changes sign
C. always positive

  • Urgent Calculus Help - , Thursday, July 3, 2014 at 7:52pm

    Sketch a graph of this function. Then the answers will be obvious.

  • Urgent Calculus Help - , Thursday, July 3, 2014 at 7:54pm

    Damon,
    is it always positive and changes sign?

  • Urgent Calculus Help - , Thursday, July 3, 2014 at 8:00pm

    slope is always positive
    the slope keeps increasing so second derivative is positive

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